Calculus Coaches

Start here

• (2n+1)!/(2n+3)! simplified
• 🌟 Master the Magic of Calculus 🎓: From Domains to Limits, The Complete Guide to Understanding f(x) = √(x² – 1) 🚀
• 🌟 Unlock the Magic of Quadratic Functions! Master Difference Quotients with Easy Step-by-Step Guides for x², 2x + 4, and -3 + 2x² 🌟
• 🌟✨ Unleash the Power of PEMDAS: Become a Math Wizard! 🧙‍♂️🔮
• 📈 Unravel the Mysteries: Domains, Ranges & Graphs of tan(x) and tan⁻¹(x) 📚
• 🔍 “Cracking the Limit Code: Your Step-by-Step Adventure to Solve an Exhilarating Math Puzzle!” 🎉
• 🔍 Solving Money Mysteries: Unraveling Coin & Wage Puzzles 🧩💰
• 🔓 Unlock the Secrets 🤔: How the Function f(x) = (x² – 1) / (x² + 1) 👩‍🔬 Behaves as x ➡️ Approaches Infinity 🌌
• 🔓 Unlock the Secrets of Calculus: Master Continuity 🌟
• 🔥 Master the Intricacies of Chain Rule: Unveil the Derivative of |x| through √(x²) 📚
• 🧮 Discover the Equation: √(x²) = |x| 🚀

• Cracking the Code of the Translated Circle: A Comprehensive Guide to the Domain and Range of (x – 2)² + (y + 1)² = 1

• 3 Vector Scalar Projection Calculator Step by Step Guide
• a – 2 [ -a – 3 ( -a – 4 ( -a + 1 ) + 2 ) + 3 ] + 4
• a paricle moves along a straight line and its position is given by s(t)=2t^3-18t^2+30t , where s is measured in feet and t in seconds.
• Algebraic Word Problems and Solutions
• Along what curve is ln(ln(x)+y) equal to 0 or where does it cross the xy plane?
• analysis of (x+2)/(x-2)
• analyze the graph of f prime of x raised to the the three over two
• analyzing functions of the rational type with roots, asymptotes, long division, first derivatives, second derivatives and graphing
• analyzing the derivatives of an absolute value function
• another form of a polar point
• AP Calculus FRQ Chart of Trends
• Applications of Function Inverses
• applications of rational functions
• arcsecant(x) function develop in great detail
• are the derivatives of ln of ax and ln of bx the same or different
• basic derivative facts
• basic stats with variances, populations, deviations, mean absolute deviation, sample standard deviation
• basics of compound interest
• basics of logarithmic functions
• basics of rational functions..domain..range, asymptotes..graphing..carefully explained
• basics-of-exponential-functions-graphing-asymptotes-domains-ranges-exponential-equations
• Calculate Savings per Person When Splitting the Bill with Friends
• Calculating the Limit of (1+x)^(1/x) as x → ∞
• calculus notes on integration with variable substitution
• Calculus question on maximizing or minimizing an integral
• Calculus reference sheet for students
• calculus-1-notes-11-21-2023-max-min-concavity-first-derivative-test-second-derivative-test-several-examples
• calculus-notes-on-finding-the-rest-times-and-total-distance-traveled-by-an-object-done-in-great-detail
• Can e^ln(x) represent x for x<0?
• complete-analysis-of-2x-squared-over-x-squared-minus-1-intercepts-first-derivative-concavity-domain-symmetry-vertical-asymptotes-horizontal-asymptotes
• complex expression with roots of negative numbers
• complex number interactive quiz questions
• Convergence and Summation Bounds of Series
• Cracking the Code of Linear Equations: From Fractions to Decimals and Beyond
• Deciphering the Nuances of Even-Powered Functions: A Detailed Analysis of x^2, x^4, (x-1)^2, and (x-1)^4
• degrees of freedom in an equation
• derivative of |x^2-1| using chain rule
• Derivative of |x^2-2|^2
• derivative of 2 raised to the absolute value of x.
• derivative of a function with nested square roots
• derivative of the absolute value of x minus 1
• derivative of the absolute value of x raised to the absolute value of x
• Derivative of x minus 1 raised to the square root of 2
• Derivative of x^4 using Pascal’s Triangle and the limit definition with careful explanations!
• Derivatives introduction: defining, finding with limit definition, tangent line equations and graphs!!
• derivatives of inverse trig functions
• derivatives of lnx and ln2x
• deriving derivative rules of tan inverse of x and sin inverse of x
• Detailed Examples of the Chain Rule
• determine if the set {0,1} is closed under addition
• Determining the Domain of ln(x² – 1)
• Determining the Range of x for a Linear Function Within a Given Tolerance
• difference between a function value and the average value of the function over 0 to 2
• differentials
• digging into perfect square trinomial factoring
• Discovering the Derivative of |x| for Negative Values: A Mathematical Exploration
• Disentangling local maxima, local minima, global maxima and global minima.
• does 1/2+1/4+1/16+.. converges or diverge?
• Does the following geometric converge or diverge?
• Does the integral of 1/(x^2+1) converge or diverge?
• Does the series e to the 1 over n divided by n cubed diverge or converge
• Does this function have both a global max and a global min?
• dolciani structure and method some solutions in great detail to questions in chapter 11
• domain and range of composite function
• domain of a function with nested square roots
• domain of ln of x over x minus 1
• domain of ln(|x|-2)
• domain of square root of 1 over x minus 1
• Domains and range of piecewise defined functions.
• examples of partial fractions
• exploration of a series
• Exploring and Understanding the Various Types of Discontinuities in Mathematical Functions
• Exploring the Limitless: The Domain of 1/(x-1)
• Exploring the Square Root of Absolute Value Functions
• exponential and log equations with applications
• expressions to be used in trig. substitutions
• factor an expression with fractional exponents
• facts about the inverse cosine function
• feasible regions
• find global max/min on quartic function x^4-98x^2+10
• Find the constant that makes a piecewise defined function continuous on negative to positive infinity. This one deals with a linear piece and a quadratic piece.
• find the differential for 5x^2+5x+3 and compare to the actual difference delta y
• Find the double sum of x+y when x goes from 1 to 5 and y goes from 1 to 4
• Find the error in the following calculation? Which step is not correct is the question. You’re finding the square root of negative seventy two.
• Find the interval of converges of a series
• find the principal value of ln of i raised to the i
• Find the range of y given by 1 divided by x minus 1
• Find the real part of 1/z, where z=a+bi
• find the real part of z cubed
• find the value of this expression with i and the roots of negative numbers
• Find the values of x for which the series converges.
• find x in the natural log of log base 2 of x plus 4 equals 8
• Finding an infinite limit with detailed calculations and a graph
• finding ranges
• Finding the domain of a function composition involving two fractions
• Finding the Range of x for f(x) = x^2 to be within 0.1 of 9
• Forming Set Complements Step by Step
• Functions: definition, sets, creating, evaluating, set-builder notation, interval notation, number lines
• future value, present value notes
• Graph Behavior of x³ – x² Near the Origin
• graphing a rational function with a vertical asymptote and a hole from repeating factors
• Graphing the Equation x² – y² = -4
• graphing-system-of-linear-inequalities-illustrated-in-great-depth
• hard limit..can you do it?
• how a single concept, the average, plays itself out in multiple ways
• How do we know that ∑ₙ₌₀^∞ rⁿ is the same as ∑ₙ₌₁^∞ rⁿ⁻¹?
• How to Crack the Euler Differential Equation: A Step-by-Step Guide You’ll Actually Understand!
• How to plot points, graph lines using intercepts, transform y-y1=m(x-x1) into y=mx+b with detailed examples
• implicit derivative notes with very detailed examples
• Implicit Differentiation Examples With Graphs
• Infinite limit with square root and rewriting with detailed explanations and a graph
• Integral of cos(x) from x=0 to x=2π
• integral of e^(kx) done step by step with great detail!! enjoy the thrilling fun of it and so much more
• Interactive Vector Addition Calculator: Master Vector Math Step-by-Step
• intro to l’hopital’s rule
• Introduction to Lines of Best Fit Using Matrices
• length of a complex number
• limit as n goes to infinity of e to the n over n factorial
• Limit of (x-1)/sqrt(x^2) as x goes to negative infinity
• limit of cosine of n over 3 to the n using hte squueze theorem
• limit of n to the one over n as n goes to infinity
• Limit of x^2 as x approaches 2 with the definition
• limit when x goes to negative infinity
• limits from graphs..detailed examples
• linearize (1+x)^(-3) at x=0 and find the interval so it’s accurate to within .1
• Linearize the sqrt of x at x=36 and graph
• local max or min for a curve defined over 0 less than x less than infinity
• log equations quizzes
• Logarithmic Differentiation Examples
• making a quadratic equation from irrational roots
• Master 2 Vector Subtraction with Step by Step Calculator
• Master the Magic of Math: Your Pathway to Factoring Like a Pro!
• Master the Mysteries of Polynomial Roots: Unveil the Hidden Power of Multiplicities with f(x) = x(x-1)²
• Master-3-Vector-Addition-With-Our-Step-By-Step-Calculator
• Mastering Linear Equations: From Matrix Magic to Movie Math
• Mastering Piecewise Function Graphs: A Comprehensive Guide
• Mastering Quadratic Equations: A Comprehensive Step-by-Step Guide
• Mastering Quadratic Equations: From Roots to Polynomials
• Mastering the Mystery of Square Roots and Inequalities: A Comprehensive Guide to Domain, Interval, and Set-Builder Notation
• math 111 notes 11 29 2023 applications of exponential models with several very detailed examples
• math 115 notes basics of using counting principle with cards and worms and combinations to find probabilities
• math quizzes
• math-111-notes-properties-of-logs-power-rule-difference-rule-product-rule-change-of-base-formula
• Matrix combinations using scalars, additions, subtractions and multiplications
• Matrix definition, example of making, adding, subtracting, reading entries from and reading dimensions of, equality of
• maximizing profit with linear programming …several very detailed examples with graphs
• mean value theorm applied to an exponential function
• mean, median, mode, range, deviations with several very detailed examples
• midpoint rule example with calculation and graph
• modulus behavior of 1 over z
• modulus of double z
• Notes on matrix applications
• notes with examples on annuities
• notes-doubling-time-tripling-time-quadrupling-time-for-investments
• PEMDAS exercise at a more advanced level that feels like an internet meme
• points in polar coordinates quiz question
• Polynomial Quiz
• present value of annunity notes in detail with multiple examples
• quadratic functions notes with graphs and solved problems
• quiz on factorizing sums of cubes
• Quiz on find the limit of e raised to the 1 over x
• range of a function with nested square roots
• Range of y equals e to the x by an algebraic process
• rationalize 0.072999…
• recognizing and factoring perfect square trinomials
• reducing a fractional expression that has fractions in exponents
• relating the remainder of a series to an integral using a picture
• relative growth rates for exponential growth
• rewriting absolute value functions using pieces
• sample quizzes
• Shifting Summation Indexes
• simple interest ideas with applications
• simplify (2n-1)!/(2n+1)!
• simplify i raised to the seventy third
• simplify i raised to the square of i
• Simplify i²³ / (i¹⁵ – i¹⁷) Explanation
• simplify the square root of the cube of i
• simplifying a complex expression with multiple roots of negative values
• solution to 2+ln|x|=5
• solve (x-1)^3-(x+2)^3=-(x-3)^2
• Solve sin(x)=0, cos(x)=0, tan(x)=0. These are elementary trig. equations.
• Solve the inequality 1/x<1/(x-1) step by step with a number line.
• Solving a hard exponential equation
• solving a rational inequality
• Solving an Inequality: 1/x < 1/(x-1)
• Solving cos(x)=sin(x) and cos(x)=-sin(x) in detail step by step
• solving linear and non linear systems with examples
• solving quadratic equations guided quizzes
• solving quadratic equations with steps quizzes
• Solving simple differential equations
• Solving the Second-Order Linear Differential Equations
• some solutions to dolciainis structure and method from pages 563 and 566
• sum of .1+.01+.001+.0001+…
• synthetic division quizzer with steps
• Take the Fun Piecewise Function Quiz – Test Your Math Skills Now!
• tangent line and secant line slopes using the mean value theorem
• The derivative of the function f(x) = sin(cos(3x)) with respect to x
• The Schrödinger Time-Independent Equation: Unveiling Quantum Mysteries
• the set of all ordered pairs
• to ride on the world’s fastest rollercoaster you must be at least 55 inches tall but less than 91 inches tall….
• transition math to calculus
• Trigonometric Equations: Solving for sin(x) = 1, cos(x) = 1, and tan(x) = 1
• Two cars are moving towards an intersection. One car is 150 meters north of the intersection and the other is..
• Ultimate guide to sqrt(x), sqrt(x+1), sqrt(x-1) with graphs and detailed information
• Understanding Differentiability: A Comparative Study of f(x) = x² and f(x) = |x| at x = 0
• Understanding how to approximate derivatives with the slope formula by using very tiny values of h
• Understanding Image Gradients
• Understanding Linearly Independent Functions or Sets
• Understanding Local Maximums in a Vast Landscape
• Understanding second partial derivatives with graphs
• Understanding Set-Builder Notation
• understanding the concept of a hole in a rational function graph. detailed steps and a graph.
• Understanding the inverse secant function.
• Understanding the Limit of |x|/x as x Approaches 0: A Comprehensive Guide
• Understanding the Square Root of the Absolute Value of a Complex Number
• unit circle with negative angles
• Unlock applications of linear systems through three detailed examples
• Unlock the concepts behind complex numbers
• Unlock the concepts behinds graphs that may or may not be functions!
• Unlock the domain of log(-5x+11) (base 4) with a graph and detailed discussions in inequality form, interval form and set-builder form
• Unlock the Enigma: Decode the Domain and Range of f(x) = -√(1 – x²)
• Unlock the key to x=-2x-(2x-1/3x+1) (linear equation)
• Unlock the keys to solving a variety of equations with factoring, square roots and grouping
• Unlock the limit of f(x)=2x+1 as x approach 2 by the defintion with epsilon and delta.!
• Unlock the limit of sin(2x)/(3x) as x goes to 0, step by step
• Unlock the Mathematical Universe: Exploring the Domains of 1/(3x + 2), √(3x + 2), and log(3x + 2)
• Unlock the Mysteries of e^x: A Journey Into Mathematical Excellence!
• Unlock the Mysteries of the Transformative Graph: 1/(x+1) + 2
• Unlock the mystery of domains of square root functions
• Unlock the mystery of intervals in algebra
• Unlock the mystery of limits at infinity with several different approaches for better understanding!
• Unlock the mystery of solving systems of equations using Gaussian Elimination
• Unlock the mystery of the neutron!
• Unlock the mystery of the non-existence limit
• Unlock the mystery of the proton!
• Unlock the Mystery of the Regular Singular Points in Differential Equations
• Unlock the Mystery: Why the Limit of |x+1|/(x+1) is Elusive
• Unlock the Paradox: Why the Limit of |x-1|/(x-1) Vanishes
• Unlock the power of visualizing the Graph of 1/(x+1)
• Unlock the Secrets of Calculus: Mastering the Limit of √(10 + 9x²) / (10 + 2x) as x → ∞ 🧠🔓
• Unlock the Secrets of Differentiation: Dive into the Power Rule with f(x) = 2 + 8/x + 6/x^2
• Unlock the secrets of double integrals!
• Unlock the Secrets of Linear Equations
• Unlock the Secrets of Odd-Powered Functions: A Comprehensive Guide to Understanding x¹, x³, and x⁵
• Unlock the Secrets of Root Multiplicity: A Deep Dive into the Behavior of f(x) = x(x-1)³ Near Critical Points
• Unlock the Secrets: Finding the Domain and Range of f(x) = √(1 – x²)
• Unlock your brain: find the domain of 1/(-5x+11)
• Unlock-3D-Vector-Subtraction-with-Our-Interactive-Calculator
• Unlocking the domain of a piece-wise defined function from a graph.
• Unlocking the Infinite Possibilities: The Domain of 1/x
• Unlocking the Mysteries of the Perfect Circle: Exploring the Domain and Range of x² + y² = 1
• Unlocking the mystery of 1/(x+2)+2, the graph and analysis of function!
• Unlocking the Mystery of the Limit of |2x + 1| / (2x + 1) as x Nears -1/2: A Revealing Mathematical Journey
• Unlocking the Secrets of Calculus: Approximating Derivatives with Average Rate of Change
• Unlocking the Secrets of Coefficients: A Journey from Simple Linear Expressions to Complex Polynomials
• Unlocking the Secrets of f(x) = x²(x-1): A Comprehensive Visual Guide
• Unlocking the Secrets of Linear Inequalities: A Comprehensive Guide to Understanding, Creating, Solving, and Mastering!
• Unlocking the Secrets of Right Triangle Trigonometry: From Basics to Real-World Applications
• Unlocking the Secrets of the Limit: A Joyful Dive into (3x + 1) / (x + 4) as x Approaches 5!
• Unveil the Secrets of the Enigmatic Graph: 1/(x-1) – 2
• Unveiling the Secrets of the Shifted Circle: A Deep Dive into the Domain and Range of (x – 1)² + y² = 1
• Using the Squeeze Theorem
• value of 1 divided by the square root of i
• various math quiz questions
• various more advanced factorization problems
• vertex of an absolute value function
• Very detailed explanations of solving 3 by 3 system using elimination and back-substitution
• volume in 3d space
• We are given that the sum of three numbers is 120. The second number is eight less than the first, and the third number is 1 1/2 times the second.
• What are two possible values of a and b so that a x² + b x + 5 has the value 1 at x=1.
• what happens if we show a curve crossing a vertical asymptote
• What happens to the graph of f'(x) at x=0?
• What happens to the horizontal asymptote of e to the x when we mirror across y equals x
• what happens to the range of a piece-wise defined function when we mirror across the x axis
• What is d/dx (∫ (d/dx x² dx))?
• what is e raised to the log base 2 of 5
• what is i raised to i where is the imaginary unit
• What is the derivative of 2x quantity cubed?
• what is the derivative of sinx raised to the cosine of 1 over x
• What is the derivative of x raised to the cosine of x
• what is the domain of this function?
• What is the Planck’s Constant
• what is the range of the function y equals 1 over x plus 1
• What is the sign of the natural log of a function given the function graph
• What is the square of the modulus of a complex number
• what is the square root of the negative x raised to the negative 2 equal to
• What should a be so that a⋅x² + 2x + 4 has the value 5 at x=1?
• what x in ln of ax equals b where for simplicity a and b are both greater than 0
• What’s 1/[log_2e(x)]
• What’s an electron, really!
• What’s ln of the log of base 2 of x plus 4 equal to 8
• What’s the domain of 1/ln(x)?
• What’s the slope of ln(ln(x)-y) at x=1 where ln(ln(x)-y) is 0.
• when are x and e raised to the ln of x equivalent
• Where does the series converge?
• where is f prime of x undefined given the graph of f below
• where is the mistake in the following calculation?
• which graph is the derivative of negative 3 times x squared
• Which is the graph of x squared over x squared minus 2
• Which step has the erorr to find the limit of (1+2x)^(1/x) as x goes to infinity?
• Work rate problem with two people where one takes 2 hours less to complete a job
• x and y intercept of a quadratic function with steps
• x^4-3x^2=0
• Home
  • Unlock: step by step directions for finding the derivative of e^(2x)
  • Step by step directions for finding the limit of csc x as x goes to π and tan(π/2) too!
  • Partial Derivative Calculator
  • integral of e the square root of x (integral e^sqrt(x))
  • Step by step directions for finding the derivative of ln(cos(x))
  • Solving 2cos^2(x)+sin(x)-1=0 step by step
  • distributive property with only linear terms and multiple fractions in an equation
  • Step by step directions for finding the integral of e^x cos(x)
  • Step by step directions for finding the antiderivative of the square root of x
  • age problem algebra
  • Step by step directions for finding the derivative of the square root of x
  • graphing lines by intercepts
  • Step by step directions for finding the derivative of sin^2(x)
  • Step by step directions for finding the antiderivative of e^sqrt(x)/sqrt(x)
  • sigma notation basics with video
  • Distributive Property: Simplifying Expressions with whole numbers, decimals, fractions
  • Graphing a Line By X and Y Intercepts Workbook
  • Example of a Trig Derivative (several examples)
  • Step by step directions for finding the antiderivative of 1/sqrt(x) with graph and video
  • limit of function with a hole
  • simplifying complex mathematical expressions using the distributive property
  • Finding Partial Derivatives of Exponential Functions with Negative Exponents, e^(-xyz)
  • Adding Two Dimensional Vectors with Fractional Components
  • The Integration of the Exponential Function e^(-x)
  • Limit of the Cosine Function cos(1/x) as x Approaches Infinity
  • solving the quadratic equation x² + 1 = 0
  • forming a linear combination of two 2D vectors
  • Step by step directions for finding the limit of (e^x-1-x)/x^2 as x goes to 0
  • Step by step directions for finding the limit of (1-cos(x))/x^2 as x goes to 0 using L’Hopital
  • graphical vector subtraction
  • Learn how to find the limit of (1-cos(x))/x² as x approaches 0 without L’Hôpital’s Rule. The result is ½ using standard trigonometric methods.
  • Find the limit of ln(x)/x as x approaches infinity.
  • vector subtraction 3D vectors with integer entries
  • subtracting 2d vectors with fraction entries
  • limit from right and left with picture
  • solving linear equations
  • Guide to Graphing a 3D Vector: Easy Steps
  • Booklet containing many examples of applying the chain rule in calculus.
  • Finding limits of sequences booklet.
  • extensive collection of graph paper
  • Solving Linear Equations: linear equation with one fraction on the left side
  • Converting a CDF to a PDF and finding a probability
  • analysis of the trigonometric cosine function
  • linear equation with two terms on the left side, one is a fraction
  • Finding the antiderivative of ln(x)/x
  • Locating points on a number line using division.
  • Finding the area of a circle, step by step, with rounding to the hundredths place.
  • Finding Eigenvalues of the given matrix
  • Subtracting a Mixed Number from a Whole Number
  • finding the tension and acceleration in a two block system
  • algebraic vector subtraction two dimensional vectors
  • Finding the antiderivative of sin(x)cos(x)
  • Solving linear equations booklet.
  • limit x^x
  • vector grapher
  • finding the derivative of e^(-x)
  • finding the integral of e to the 2x
  • limit x ^ (1/x)
  • Unlock the Improper Integral of 1/x^2 from 1 to infinity
  • converting r=3cos(theta) to rectangular form
  • finding the integral of sqrt(1-4x^2)
  • Finding a unit vector for a vector in three dimensions
  • finding the antiderivative of sin^3(x)
  • gradient calculator with multiple pieces of information
  • Unlock the Secrets of Trinomials: Step-by-Step Guide to Mastering k(x) = -4x³ + 2x² – 6, h(x) = 3x³ – 5x² + 7, and More!
  • Unlock the Secrets of Calculus: A Thrilling Step-by-Step Guide to Mastering the Antiderivative of 1/x²
  • Unleash the Power of Integration: A Captivating Guide to the Antiderivative of 1/(1 + x²)
  • finding the integral of ln(x)
  • Discover the Magic of Calculus: A Comprehensive Guide to ∫ 1/(1 – x²) dx
  • Unlock the limit ln(x)^(1/x) as x approaches positive infinity
  • limit x^1/(1-x)
  • Unlock the Secrets of Calculus: A Step-by-Step Guide to ∫ x sin(x²) dx
  • Finding a unit vector in two dimensions between two points step by step for easy understanding
  • finding the limit of xlnx as x goes to 0 from right
  • Embark on a Mathematical Exploration: Unraveling the Gradient of f(x,y) = x² + xy + y²
  • limit x^(x^2)
  • limit cos(x)^(1/x)
  • limit (1+P/x)^x
  • Vector Addition: Combining Forces and Directions
  • distributive property with only linear terms and multiple fractions
  • Master the Equation: Definitive Graph for Solving 2sin²(x) – sin(x) – 1 with Precision in π/6 Units
  • Exploring the Derivative of 1/x: A Calculus Adventure
  • limit sin(x)^sin(x) as x approaches 0 from right side
  • limit (1+1/x)^x
  • sum of ages problem
  • An Odyssey into 3D Space: Sketching the Enigmatic Plane f(x,y) = 4 – 2x – y
  • forming linear combinations of vectors with three components
  • simplifying a product of two exponential expressions with three different variables
  • Unlocking the World of Algebra: Two Linear Equations
  • simplifying a ratio of two exponential expressions
  • limit x^[1/(x-1)] as x approaches 1 from the right side
  • to simplify the expression (5w⁶)(6w¹⁰)(7w²), you can follow these steps
  • graphing templates
  • example of inequality with variables on both sides
  • Explore the Elegance of Calculus: Unraveling the Derivative of 1/x⁴
  • solve the linear equation 2x+4=6x-5
  • linear equation with distributive property
  • cups of sugar or cookies proportion
  • equation with the distributive property on the right side
  • linear equation with distributive property on one side
  • Step by step, deciding whether a set is a function.
  • 240 is 30% of what number?
  • Step by step, what number is 75% of 90?
  • mathematical set exercises
  • Forming the cartesian product of two sets
  • finding a missing value in a proportion
  • distance proportion problem
  • years until ages are equal age problem
  • age problem involving number of years ago ages were equal
  • unit circle pdf
  • Master the Unmasterable: Your Ultimate Guide to Conquering Improper Integrals!
  • master drawing vectors with our step by step guide
  • Graphing Lines By X and Y Intercepts Workbook
  • complex numbers booklet
  • Master the Intricacies of Partial Derivatives: Unveil the Hidden Layers of Calculus and Unlock Your Full Potential
  • Improper Integral 1/sqrt(x) from 0 to 4
  • Unlocking the improper Integral 1/(x-2) from 1 to 3
  • Improper integral e^(2x)/(1+e^(4x))
  • Improper Integral e^-|x|
  • Improper Integral 1/xln(x) From 3 To Infinity
  • Improper Integral Rational Function 2 to Infinity
  • Unlock the improper Integral 1/(3x+1)^2 From 0 To Infinity
  • Improper Integral 1/(2x+1) From 0 to Infinity
  • Improper Integral 1/ x from 1 to infinity
  • Improper integral e^(3x) from negative infinity to 0.
  • Improper integral of 2e^(-2x) from 0 to positive infinity
  • Improper integral 1/(1+x^2) from 0 to infinity.
  • integral 1/(1+x^2) from negative to positive infinity
  • Improper integral 1/x^4 from negative infinity to negative one
  • Improper integral 1/sqrt(x) from 4 to infinity
  • Limit sin(2x)/x as x goes to 0, step by step
  • Unlock the Secrets of Polynomial Factoring: Master Powerful Techniques to Simplify Complex Expressions!
  • derivative of ln(sqrt(x))
  • circuit with battery, switch and lightbulb
  • Switches in series with circuit diagram and truth table
  • Switches in parallel with diagram and truth tables
  • Three parallel switch circuit diagrams with truth table
  • inverter or not gate with diagram and truth table
  • and gate with diagram and truth table
  • Or Gate With Diagrams And Truth Table
  • XOR Gate With Diagrams And Truth Table
  • Dividing complex numbers a+bi over ci
  • -2^3, -3^2,-4^3 (Examples of finding exponential expressions with negative bases and positive, whole number exponents)
  • (-2)^3,(-2)^2,(-3)^2 (Examples of finding exponential expression values)
  • (-1/2)^4 (Exponentiating fractional bases to positive, whole number exponents)
  • two switches with NOT and AND gates circuit diagram
  • Unlock the Power of NAND Gates: Your Ultimate Guide to the Universal Logic Builder 🌟🔐
  • Showing a relation is not a function.
  • Integral of x^4 between 0 and 1
  • Unlocking solving literal equations!
  • Unlock the secretes to linear equations with fractions and the distributive property
  • Unlock the Secrets of Algebra: Master This Equation in Simple Steps!
  • Linear Equation With Distributive Property On The Right Side With A Constant
  • Linear Equation With Distributive Property On The Right Side With A Constant
  • UNLOCK Multiplying Fractions By A Whole Number
  • Solving A Formula For A Given Variable (Literal Equations)
  • Unlock the steps to a literal equation with the distributive property
  • Understanding level curve spacing
  • Rationalizing fractions with roots
  • Unlock: rationalizing fraction with a difference of two square roots in denominator
  • Finding an area using a double integral
  • A rectangular room is 3 times as long as it is wide
  • Test for divergence on n^2/(n^2+4)
  • Power series for 1/(5+x)
  • Unlock : twelve subtracted from ten times a number is -212. What is the number?
  • Unlock the steps to the sum of 5/3^n using a geometric series!
  • Unlock the mystery of forming the series for e^(2x)
  • Step by step, Laplace transform of e^(t/5)
  • slope from two points showing 0 slope, negative slope and undefined slope video
  • Step by step antiderivative of e^(2x)/(1+e^2x)
  • Definite integral of x^2/(1+y^2) using a double integral from 0 to 1 for x and 0 to 1 for y.
  • Binary to decimal simple conversion example one
  • Rewiting numbers as powers of ten
  • Decimal to binary conversion form
  • Binary to decimal conversion example 2
  • Long example converting decimal to binary form
  • adding binary numbers
  • Unlock the Integral of cos²(x)
  • Unlock the Limit sin(x)/x as x goes to 0 with L’Hopital
  • Subtracting binary numbers
  • Half Adder Circuit Diagram
  • Derivative Of sin^2(x)
  • Integral of sin(x) From 0 to Pi
  • Improper Integral Of 1/x from 0 to 1
  • Unlock the step: tangent Line to 1/x at x=1, step by step
  • Derivative of ln(x^2)
  • Unlock the integral Of |sin(x)| from -pi/2 to pi/2
  • section 2.4 solutions on building circuits
  • Two times the sum of a number and five is 54. What is the number?
  • Jared is 5 years older than Alma. In 9 years the sum of their ages will be 67. How old is Jared now?
  • Find three consecutive odd numbers whose sum is 1359.
  • Derivative of e^(x^2+4x+5)
  • Implicit derivative example in step by step detail
  • Short example of subtracting binary numbers
  • Long example of subtracting binary numbers
  • Multiplying binary numbers
  • Solving the Inequality -2x – 4 ≤ 2x + 4 Explained
  • Unlock the steps to -2x+2<=-2!
  • find the slope of the line shown below
  • find the slope through the points
  • find the slope of a line that has a negative slope
  • Unlock the mystery of expressing inequalities in interval notation
  • Write an equation for the graph, where y depends on x from a graph of the line
  • end behavior for polynomials
  • simplifying a product of two complex exponential expressions
  • Unlock The Steps To Finding The Line Perpendicular To A Given Line
  • Write an equation for a line perpendicular to y=4 x + 1 and passing through the point (-4,6)
  • Simplify (2x^10)^2*x^-7 (exponential expression with product)
  • Simplify (7x^2y^0)(4x^0)
  • Simplify exponential expression with a fraction
  • Simplify exponential expression with a fraction and negative exponents
  • Power series for 1/(1+x^2)
  • Magnitude Of Complex Number
  • Store
  • Calculus Products
  • Evaluating a basic double sum
  • Function Vertical Transformation
  • Algebra I Products
  • Calculators
  • Physics Products
  • Quirky Math Fashion
  • Quirky Math Shoes
  • College Algebra Products
  • Algebra II Products
  • Calculus I Products
  • Calculus II Products
  • Calculus III Products
  • Vector Calculus Products
  • Algebra I Course
  • Derivative of e^(x^2)
  • Linear equation with fractions
  • Linear equation with three fractions
  • Linear equation that is an identity
  • Simplifying a product of three exponential expressions
  • Graph a line using x and y intercepts
  • If else with Python
  • Python while loops
  • Python for loops
  • derivative of 1/x
  • columbia homework 1
  • columbia homework 2
  • columbia homework 3
  • columbia homework 4
  • derivative of sin(2x)
  • derivative of cos(2x)
  • limit sin(6x)/2x with video
  • Solving F=ma for a or m with video
  • integral of 1/(sqrt(x)+x)
  • factoring 1/[sqrt(x)+x]
  • integral sqrt(x-1)
  • simplifying a ratio of two exponential expressions
  • simplifying a product of two exponential expressions using the distributive property
  • simplifying a ratio of two exponential expression with two uses of the distributive property
  • exponential expression using distributive property with negative exponents
  • simplifying a exponential expression with a fraction and the distributive property
  • effective annual yield
  • testing for x axis, y axis and origin symmetry with video
  • graphing a parabola using a sequence of transformations
  • parabola transformation with a vertical flip
  • convert rcos(theta) to rectangular form with video
  • why do the angles of a triangle add up to 180 degrees?
  • vertex from parabola standard form
  • Wave on a string simulation
  • finding the domains and ranges for two different rockets
  • total amount of money using interest at 5% after three months
  • difference quotient for linear function
  • difference between holes and vertical asymptotes with video
  • equation of parabola found from three points with video
  • graphing a line using x and y intercepts with a video
  • solving f=9/4c+32 for c with a video
  • Solving proportions examples
  • Sample of finding the average rate of change of a parabola
  • Finding the average rate of change of a parabola with a negative slope
  • Several examples of multiplying binomials using foil
  • Factoring negative -1 from an expression
  • Factoring negative -1 from a trinomial
  • average rate of change of a function notes
  • factoring by grouping example and factoring the gcf examples
  • Factoring Trinomials Using the AC Method And Grouping
  • types of intervals used in math with interval notation and number line
  • Horizontal Shifts of functions
  • transforming |x| into -2|x – 1| (absolute value transformation)
  • LImit of x ln x as x approaches 0 from the right
  • Factoring -4x^2+2x+30
  • difference of squares fractions example
  • converting feet cubed to inches cubed
  • solving a quadratic equation with two terms
  • domain of function for a square root and a fraction
  • discriminant
  • Quadratic-equation-complex-solution-no-perfect-square: -2x^2=3(x+2)
  • X^2+16=0
  • finding inverses of linear functions
  • august 2018 algebra II ny regents solutions to question 1
  • dividing complex numbers of the form (a+bi) over (c+di)
  • Unveiling the Magic of Linear Equations: Click to Empower Your Algebra Skills!
  • Unlock the Secrets of Parallel Lines: Explore y = mx + b and More – Click to Master Algebra Now!
  • finding volume using the disk method and x^2
  • How many laptops the math department can buy if they have 6500 to spend, have already purchased 30 textbooks that cost 116 each, and each laptop costs 439.
  • Unlock the Power of Algebra: Solve 3/5(x + 4/3) = 1.04 with Ease and Confidence!
  • Unlock the Power of Algebra: Solving for the Area of a Rectangle with a Twist
  • ny state regents question 8 solution january 2019
  • Which relation does not represent a function?
  • The Key to Unlocking the Equation y = x² – x – 4
  • Unlock the Mystery of Function Transformations: Master the Shifts with (x-1)² – 2
  • Unlocking the Secrets of Algebra: A Step-by-Step Guide to Solving a Quadratic Expression!
  • A table of values showing the value of a laptop over the years. The value of the laptop decreases by 20% each year. The function that can be used to determine the value of the laptop for x years after the purchase is f(x) = 1250(0.8)^x.
  • The number 5 in the function h(x) = -4.9x² + 6x + 5 represents the initial height of the ball. This is the height of the ball when it is released.
  • ny state regents question 14 solution january 2019
  • Discover the Magic of Quadratics: Unraveling the Mystery of Equivalent Equations!
  • ny state regents question 16 solution january 2019
  • ny state regents question 18 solution january 2019
  • ny state regents question 19 solution january 2019
  • ny state regents question 20 solution january 2019
  • ny state regents question 21 solution january 2019
  • ny state regents question 22 solution january 2019
  • ny state regents question 23 solution january 2019
  • ny state regents question 24 solution january 2019
  • ny state regents question 1 solution august 2018
  • ny state regents question 2 solution august 2018
  • ny state regents question 3 solution august 2018
  • ny state regents question 4 solution august 2018
  • ny state regents question 5 solution august 2018
  • ny state regents question 6 solution august 2018
  • ny state regents question 7 solution august 2018
  • ny state regents questions 8 and 9 solutions august 2018
  • ny state regents question 1 solutions algebra 2 january 2019
  • ny state regents question 2 solutions algebra 2 january 2019
  • ny state regents question 3 solutions algebra 2 january 2019
  • ny state regents question 4 solutions algebra 2 january 2019
  • ny state regents question 5 solutions algebra 2 january 2019
  • concrete example of forming the dot product of a bra and a ket vector
  • january 2019 algebra II regents question 8 solution
  • january 2019 algebra II regents question 9 solution
  • january 2019 algebra II regents question 11 solution
  • january 2019 algebra II regents question 12 solution
  • january 2019 algebra II regents question 13 solution
  • january 2019 algebra II regents question 14 solution
  • january 2019 algebra II regents question 15 solution
  • january 2019 algebra II regents question 16 solution
  • january 2019 algebra II regents question 17 solution
  • january 2019 algebra II regents question 18 solution
  • january 2019 algebra II regents question 19 solution
  • january 2019 algebra II regents question 20 solution
  • january 2019 algebra II regents question 21 solution
  • january 2019 algebra II regents question 22 solution
  • january 2019 algebra II regents question 24 solution
  • january 2019 algebra II regents question 23 solution
  • january 2019 algebra II regents question 25 solution
  • january 2019 algebra II regents question 26 solution
  • january 2019 algebra II regents question 27 solution
  • august 2018 algebra II ny regents solutions to question 3
  • august 2018 algebra II ny regents solutions to question 4
  • august 2018 algebra II ny regents solutions to question 5
  • august 2018 algebra II ny regents solutions to question 6
  • august 2018 algebra II ny regents solutions to question 7
  • august 2018 algebra II ny regents solutions to question 8
  • august 2018 algebra II ny regents solutions to question 9
  • Griffiths quantum mechanics 2nd edition notes on question 1.5 on page 14
  • august 2018 algebra II ny regents solutions to question 10
  • august 2018 algebra II ny regents solutions to question 12
  • august 2018 algebra II ny regents solutions to question 13
  • august 2018 algebra II ny regents solutions to question 14
  • august 2018 algebra II ny regents solutions to question 15
  • august 2018 algebra II ny regents solutions to question 16
  • august 2018 algebra II ny regents solutions to question 17
  • august 2018 algebra II ny regents solutions to question 18
  • august 2018 algebra II ny regents solutions to question 20
  • august 2018 algebra II ny regents solutions to question 21
  • august 2018 algebra II ny regents solutions to question 22
  • domain for sin(tan^-1(x)+sin^-1(y))
  • august 2018 algebra II ny regents solutions to question 23
  • august 2018 algebra II ny regents solutions to question 25
  • august 2018 algebra II ny regents solutions to question 24
  • june 2019 algebra I ny regents solutions to question 25
  • june 2019 algebra II new york regents question 3
  • june 2019 algebra II new york regents question 4
  • june 2019 algebra II new york regents question 5
  • june 2019 algebra II new york regents question 6
  • example of factoring negative exponent with fractions
  • extra solutions in equation
  • june 2019 algebra II new york regents question 7
  • june 2019 algebra II new york regents question 8
  • sketching a graph using y-axis symmetry
  • june 2019 algebra II new york regents question 9
  • understanding graphing e^(i k x) wave motion
  • understanding the inner product of two functions
  • understanding how the cosine and sine functions are orthogonal
  • solved calculus bc math problems on arc length, differential equations and the integral of the second derivative
  • Detailed example of using the mean value theorem in calculus
  • AP Calculus BC solved problem
  • Finding the max error for the sin(x) using its Taylor series
  • find volume with disk method around y axis
  • three examples of implicit derivatives
  • example of related rates problem with a balloon
  • questions 3 and 4 , 2018 ap calculus bc questions detailed answers
  • essential vs removable singularity in complex analysis
  • converting complex numbers from polar to cartesian form
  • question 1, ap calculus bc 2016 test, detailed solution
  • several examples of finding the radius of convergence and interval of convergence of a power series
  • proof of cauchy’s integral formual for f(a)
  • motivation for the identity theorem in complex analysis using pictures
  • seven important corollaries related to the identity theorem in complex analysis
  • proving f(z) can be represented as a polynomial of degree <=n in complex analysis
  • complex analysis series for cos(z)/z , pole of order 1
  • complex analysis series for sin(z)/z
  • complex analysis series for e^(1/z)
  • finding on integral with Cauchy’s Residue Theorem in complex analysis
• Success Page
• Simulations
• derive the formula for the distance between a point and a plane in 3D space
• where are the graphs of x^2 and x^3 concave up/down?
• examples of inequalities in 3D
• example of limits in multivariable calculus one exists and one doesn’t exist
• concepts behind vector-valued function derivatives and an example
• detailed examples of solving radical equations ,including using graphs
• solving rational equations examples with graphs
• identify the curve defined by a vector-valued function
• Completing an ANOVA table
• Limit x sin(1/x) as x goes to infinity
• Calculus Made Simple PDF
• Find a polynomial of least degrees with real coefficients.
• domains of functions examples
• domain and range of simple linear function
• constructing a picture of a toroidal spiral
• domain and range of a quadratic function with a graph
• finding the domain and range of a square root function with a graph
• finding the tensions in two ropes for a hanging object
• domain and range of a square root function with a detailed graph and explanation
• solved math problems
• parametrizing a segment in 3D over 0<=t<=1
• domain and range of an inverted quadratic function(negative leading coefficient)
• finding the domain and range of a cubic function with a graph and a detailed explanation
• concave up versus concave down
• concavity of cubic polynomial
• concavity of 1/x^2 with the second derivative
• finding the concavity of sqrt(x) with the second derivative
• finding the derivative of the absolute value of x
• find the derivative and second derivative of a vector valued function at a point including a graph of the curve velocity and acceleration in three space
• finding the derivative of |x-1| using the chain rule
• constructing a 3D coordinate system
• sketching planes in three dimensional space
• sketching a cylinder in 3D x^2+y^2=1
• deriving the distance formula in three-dimensional space
• deriving and using the equation of a sphere
• region between two spheres
• vector concepts
• adding vectors
• scalar multiplication of vectors
• multivariable calculus
• precalculus
• algebra
• calculus
• magnitude of a vector in 2D and 3D
• forming linear combinations of vectors
• unit vectors
• decomposing a vector into components from the length and angle of the vector
• dot product definition and properties
• directions cosines for a vector in 3D
• scalar , vector projections, work
• distance from point to line using vectors, proof of formula, with several pictures
• deriving the formula for finding the cross product of two vectors and vector product properties and applications with pictures
• solving quadratic equations by using factoring (ac method with grouping, illustrated)
• vector triple product proof and example
• torque from vector cross product
• equations of lines and planes in 3D, with examples and pictures, skew lines
• solving quadratic equations using the quadratic formula
• solving quadratic equations by completing the square, no steps skipped
• equation of a plane in 3d formula and example
• equation of a plane from three points in 3D
• where does a line in parametric form cross a plane in 3D?
• when are two planes in 3D space parallel (direction vectors are scalar multiples)
• finding the angle between two planes using their direction vectors and the dot product, finding line of intersection of two planes
• finding the distance between two skew lines in 3D space
• cylinders and quadric surfaces
• proof of Cauchy-Schwarz inequality, proof of Triangle Inequality
• vector valued functions definition, domain examples
• finding the limit of a vector-valued function, includes a graph and detailed calculations
• find parametric equations of tangent line in 3D find velocity vector and derivative of space curve
• differentiation rules for vector-valued functions with proofs
• reparametrize a curve example with a detailed explanation
• integration of vector-valued functions, examples
• arc length formula development and example for vector-valued functions
• arc length integral in 3D development with an example for a helix raparametrization by arc length example
• velocity and acceleration concepts and examples for space curves with projectile motion and tangential and normal components of acceleration using dot and cross products
• multivariable functions, domains, ranges of graphs, level curves level surfaces definitions
• when does the limit of a multivariable function exist case of a functio of two variables
• examples of level curves for different types of functions.
• example of when a limit does not exist for a function of two variables 1
• continuity of multivariable functions examples with detailed graphs
• finding the limit of a function of two variables using polar coordinates
• partial derivatives concepts graphs tangent lines examples
• max min concepts and examples in multivariable calculus
• symmetry, even /odd functions, examples with graphs and detailed explanations
• finding implicit partial derivatives examples
• tangent plane approximations part 1
• multivariable chain rule case 1 where z depends only on t with graphs
• examples of using the chain rule in calculus I
• relationship between the natural log and exponential functions and an application to derivatives
• gradient vector meaning directional derivative level curves
• max min exampls with graph in multivariable calculus
• Finding a point of intersection between two planes.
• max min examples in multivariable calculus 2
• examples of max/min questions with lagrange multipliers
• solving a system of three linear equations step by step with annotations for better understanding
• calculus III notes
  • application of a system of three linear equations to investments
  • examples of solving systems of equations with three variables
• solving an inequality with three linear factors already in factored form (x+2)(x-3)(x+1) greater than or equal to 0
• solving a radical equation by squaring and solving a quadratic quadratic equation with an extranous solution
• solving a quadratic equation with complex roots detailed example with a graph
• solving a radical equation with two radicals on one side
• examples of solving equations with negative exponents
• graphing a parabola by plotting points and connecting, graphing an absolute value graph by points
• Ax+By=C facts and examples
• graphing a line by xy intercepts and making the equation of a line from two points
• simplifying experssions of the form a to the p over q
• domain /range of a relation, evaluating functions with numbers and expressions, graphical domain and range of a function, vertical line test
• examples of checking whether a function is even odd or neither
• function composition example with value plugged in
• function composition example with linear functions
• two numbers add up to 33 and the difference is 77
• solving a system of three linear equations, illustrated
• two detailed examples of variations of parameters
• write a linear function to model a situation where w is the number of weeks and g w is the value in dollars on a card
• sample solutions for 1.5 math 201 mercy fall 2021 average rate of change function graph comparing average rates of change
• solving a system of three linear equations
• notes on multiplfying using foil and simple factoring factoring by grouping
• 2 by 2 example and 3 by 3 example of solving systems using Gaussian elimination
• 3 by 3 Gaussian elimination two row operations applied in one step
• using gaussian eliminination to show a system is inconstitent 3 by 3 and 2 by 2 examples with graphs of lines and planes
• detailed example of performing function transformation with reflections translations shifts
• APPLICATION OF A GAUSSIAN ELIMINATINO TO SOLVING A SYSTEM OF THREE EQUATION WITH THEATER TICKETS
• adding function, multiplying functions, dividing functions, subtrcting functions, rational functions, square root and linear function composition
• find specific combination of tofu, rice and peanuts to make a certain type of diet
• solving a linear equation
• pdf on identifying matrix columns, rows, doing matrix addition, subtraction
• solving linear equation
• solving sin squared plus cos x plus 1 equals 0 step by step with unit circle
• Analysis of Rational Function
• understanding the slope/derivative of e^x
• linear dependence/independence for functions with examples
• moving wave concepts illustrated with lots of graphs
• rational function analysis
• linear regression example found using matrices
• best linear approximation
• exponential function with a fraction in the base , horizontal asymptote, domain, range, points
• discrete compounding sample calculations, continuous compounding included.
• distance traveled by a particle found using calculus
• solving simple differential equations with initial condition built into integral
• Understanding Singularities in Complex Variables
• Using a unit vector with tension.
• detailed explanation of direction cosines
• three examples of evaluating a piece-wise defined function
• Vector Projections in 3D Space: Intuitive Explanations and Examples
• How to graph 3D Vectors
• Set Builder Notation Quiz
• Absolute Value Function and Its Transformations