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Introduction to Work Using Calculus(Full Derivation)

Linear Differential Equation x^2y' + xy = 5

Linear Differential Equation y' + 6x^5y = x^5

Homogeneous Differential Equation xdx + (y - 2x)dy = 0

Homogeneous Differential Equation (y^2 + yx)dx - x^2dy = 0

Homogeneous Differential Equation dy/dx = (y - x)/(y + x)

Bernoulli Differential Equation dy/dx = y(xy^7 - 1)

Exact Differential Equation (2xy^2 - 5)dx + (2x^2y + 6)dy = 0

Exact Differential Equation (x - y^7 + y^2sin(x))dx = (7xy^6 + 2ycos(x))dy

Exact Differential Equation (x^2y^3 - 1/(1 + 9x^2))dx/dy + x^3y^2 = 0

Exact Differential Equation (tan(x) - sin(x)sin(y))dx + cos(x)cos(y)dy = 0

Exact Differential Equation (4t^3y - 12t^2 - y)dt + (t^4 + 3y^2 - t)dy = 0

Is the Differential Equation Exact?

Exact Differential Equation (x^6 + y^6)dx + 6xy^5dy = 0

Exact Differential Equation (2x - 1)dx + (5y + 3)dy = 0

Work Word Problem using Hookes Law and Calculus

Bernoulli Differential Equation x*dy/dx + y = 1/y^2

Find the Area of the Surface of Revolution

Find the Arc Length y = x^5/10 + 1/(6x^3) over [1, 6]

Find the Arc Length of y = 2x^(3/2) + 3 over [0, 6]

Find the Arc Length of y = (2/3)x^(3/2) + 1 over [0, 8]

Find the Arc Length y = (2/3)(x^2 + 1)^(3/2) over [0, 3]

Find the Area of the Region Bounded by the Graphs f(x) = cuberoot(x - 7)...

Find the Area of the Region Bounded by the Graphs f(x) = 7^x and g(x) = ...

Find the Area of the Region Bounded by the Graphs f(x) = 1/(6(1 + x^2)) ...

Find the Area Bounded by the Graphs f(x) = 3xe^(-x^2), y = 0 and x betwe...

Separable Differential Equation Initial Value Problem dx/dt = 7(x^2 + 1)...

Separable Differential Equations yln(x)(dx/dy) = ((y + 1)/x)^2

Separable Differential Equation csc(y)dx + sec^2(x)dy = 0

Separable Differential Equations dy/dx = e^(5x + 4y)

Separable Differential Equation (e^y + 1)^2e^(-y)dx + (e^x + 1)^2e^(-x)d...

Separable Differential Equation x(dy/dx) = 8y

Equation of the Tangent Line to y = 5(cosh(x) - sinh(x))^2 at (0, 5)

Definite Integral of tanh(x) from 0 to ln(3)

Derivative of f(x) = cosh(x - 9)

Derivative of h(t) = 6t - 6coth(t)

Derivative of y = (x^2 + 3)coth(x/4)

Derivative of y = tanh(2x^2 - 7)

Unleash Your Math Skills

How to Find the Equation of a Plane Given Three Points

Exact Differential Equation (7x + 5y)dx + (5x - 8y^3)dy = 0

Arc Length of y = ln(sin(x)) over [pi/3, 3pi/4]

Cross Product of Vectors Example

Spherical to Rectangular Coordinates Example

Cylindrical Coordinates to Rectangular Coordinates Example

Convert the Point from Rectangular to Cylindrical Coordinates

Rectangular to Spherical Coordinate Conversion

Spherical to Rectangular Coordinate Conversion

Convert the Point from Spherical Coordinates to Rectangular Coordinates

Disk/Washer Method Volume Example Rotating around a Horizontal Line

Volume using Disk Method with Exponential Function

Volume with Disk/Washer Method Example with Horizontal Rectangle

Volume with Shell Method y = sqrt(x), y = 0, x = 1, x = 0 about the y-axis

Volume with Shell Method y = sqrt(x + 30), y = x, y = 0 about the x-axis

Volume with Shell Method y = x^3, y = 0, x = 3 about the y-axis

Volume with Shell Method y = 8x, y = 24, x = 0 about the y-axis

Volume with the Shell Method y = x^2, x = 0, y = 9 about the x-axis

Volume with Shell method y = sqrt(x), y = 0, x = 1 about the line x = 6

Volume with Shell Method y = 5 - x, y = 0, x = 0 , about the y-axis

Given Two Points on a Line Find the Parametric and Symmetric Equations

Linear Differential Equation x*dy/dx - y = x^2sin(x) with Transient Term...

Arc Length of y = (1/2)(e^x + e^(-x)) over [0, 2]

Definite Integral of 8e^(-x)cosh(x) from 0 to ln(2) Hyperbolic Integration

Derivative of y = 4ln(tanh(x/2))

Evaluate the Hyperbolic Sine and Hyperbolic Tangent sinh(5) and tanh(-2)...

Prove the Function is Onto: f(m, n) = m + n

Prove or Disprove if the Function is Injective

Prove the Function is Onto: f(x) = 1/x

Find a First Degree Polynomial Function Whose Value and Slope Agree with...

Match the Sequence with its Graph

Simplify the Factorials (8n + 1)!/(8n + 3)!

Find the Limit of the Sequence a_n = (6n + 5)/(6n)

Write the First Five Terms of the Sequence

Disk method for Volume Simple Example

Use the Disk Method to Find the Volume Easy Example

Area Bounded by the Graphs of f(x) = sqrt(x) + 8 and g(x) = (1/2)x + 8

Write a Definite Integral That Represents the Area of the Region

Integral of (3x + 6)/sqrt(1 - x^2)

Find the Derivative of y = arctan(x/4) - 1/(2(x^2 + 16))

Linear Differential Equation dy/dx + y = e^(6x) ||Transient Terms || Lar...

Differential Equation dy/dx = 6 + sqrt(y - 6x + 4) using Substitution

How to Write in Algebraic Form csc(arctan(x/sqrt(2))

Separable Differential Equation dx e^(6x)dy = 0

Anyone Can Do Math: Some Good Math with The Math Sorcerer Ep. 1

Make Sure to Do This If You Plan to Take the GRE Mathematics Subject Test

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Cross Product/Dot Product Identity Proof: |a x b|^2 = |a|^2|b|^2 - (a do...

Do Grades Matter for Grad School in Math?

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Integral of x/(x^4 + 10x^2 + 26)

Integral of -csc(x)cot(x)/sqrt(100 - csc^2(x))

Integral of 4/(9 + (2 - x)^2)

Integral of x/sqrt(35 + 2x^2 - x^4) by completing the square

Integral of 2/sqrt(36 - (x + 6)^2))

Differential Equation dy/dx = 1/sqrt(4 - x^2) and y(0) = pi

Area of the Region under the graph of y = 2/sqrt(16 - x^2)

Area under the Graph of y = 1/(x^2 - 2x + 5)

Area Under the Graph of y = 3e^x/(1 + e^(2x))

Introduction to Arc Length Derivation and Example

The Shell Method Formula for Volume (Theory Only)

Useful Tips and Tricks You Can Use to Solve Volume Problems with the Dis...

Regrets in Mathematics

Book that Covers Undergraduate and Graduate Mathematical Analysis

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Find Two Power Series Solutions for the Differential Equation y'' + xy = 0

Best Books for Beginners Learning Complex Variables

Find the Power Series Centered at c = 4 for f(x) = 1/(9 - x) and the Int...

Integral of sinh(x)/cosh(x)

Integral of sinh(x)/cosh(x)

Integral of 4cosh(sqrt(x))/sqrt(x)

How to Find the Area Bounded Between Two Graphs

Derivative of 8*arccos(x/3)

Derivative of (sech(5x))^2

Integral of sinh(9-8x)

Integral of cosh(4x)

Find the Equation of the Tangent Line to y = 3*arcsin(x) at (1/2, pi/2)

Find the Equation of the Tangent Line to the Graph of y = e^(sinh(x)) at...

Direct Comparison Test for Infinite Series Example

How to Use the Direct Comparison Test to Show Convergence of Infinite Se...

Find the Power Series Centered at c = 4 for f(x) = 1/(9 - x) and the Int...

Find the Radius of Convergence of the Power Series SUM ((-1)^nx^n/(n +1))

Find All Values of x For Which the Series Converges SUM((6x)^n)

How to Use the Ratio Test (A Simple Example)

Derivative of h(x) = x^2*arctan(3x)

Write in Algebraic Form cos(arcsin(2x))

Write in Algebraic Form cos(arccot(x))

How Do You Know If Your Math Proofs Correct?

Find the Slope and Concavity from the Graph of the Solution to a Differe...

Larson Calculus 5.9: Hyperbolic Functions

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Larson Calculus 11.1 Vectors in the Plane

Zill DE Chapter 1 Introduction to Differential Equations

Larson Calculus 11.2 Space Coordinates and Vectors in Space

Larson Calculus 11.3 The Dot Product of Two Vectors

What is the z coordinate of any point in the xy plane?

Are the Vectors Parallel, Orthogonal, or Neither?

What is the x coordinate of any point in the yz plane?

Find all values of m so that y = e^(mx) is a solution to the differentia...

Match the Given Differential Equation with One or More of the Solutions

Find the Slope and Concavity of the Solution to the Differential Equation

State the Order and Determine if the Differential Equation is Linear or ...

Find the Order of the DE and Determine if it is Linear or Nonlinear

State the Order and Determine if the DE is Linear or Nonlinear

Find the Solution to the Initial Value Problem that Satisfies the Condition

Find a Solution to the IVP and give the Largest Interval over which the ...

Find a Solution to the IVP given a Two Parameter Family of Solutions and...

Solve the Initial Value Problem Given a Two Parameter Family and Initial...

Find All Constant Solutions to the Differential Equation

Does Any Solution Curve Pass through the Given Point? IVP Example from DE

What Function is such that it's First Derivative is a Constant Multiple ...

Determine if the Vectors are Parallel, Orthogonal, or Neither (Example w...

How to Compute Dot Products Multiple Examples from Calculus 3

Find a Unit Vector Given the Initial and Terminal Points

Find the Slope of the Tangent to the Graph of the Solution to the Differ...

Application of the Dot Product to the Fast Food Industry

Determine if the Vectors are Parallel, Orthogonal, or Neither

Midpoint of Two Points in Space

Determine the Location of the Point in Space that Satisfies the Condition

Find the Coordinates of the Point in Space

Find the Dot Product and Magnitude: Multiple Examples from Calculus 3

Find the Magnitude of the Vector v= 5i + 12j

Find the Magnitude of the Vector 3i

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Abstract Algebra Book with Full Solutions to All Proofs

10 Best Study Habits for All Math Students

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Iterated Integral with U Substitution

Iterated Integral Example

Taking it Slow with Math

Best Books for Learning Topology

The Stories We Tell Ourselves Matter

Practice Social Distancing by Playing League of Legends with the Math So...

How to Prove a Sequence Converges Example with 1/sqrt(n)

The Sum of Convergent Sequences Converges Proof

How to Prove a Sequence with Two Components Converges

If A Sequence is Cauchy in Space it's Component Sequences are Cauchy Proof

A Set is Closed if and only if it contains all of it's Limit Points

Derivative of ln(sinh(x))

Derivative of sinh(5x)

Separable DE dy/dx = sin(3x)

Limit of sin(3x)/tan(4x) using L'hopital's rule

Limit of ln(x^2)/x^4 as x approaches infinity using L'hopital's rule

How to Use L'hopitals rule to find the limit of arcsin(3x)/x as x approa...

How to Use L'hopitals Rule to find the limit of sin(2x)/sin(3x) as x app...

Limit using L'hopitals Rule (x^22 - 1)/(x^20 - 1) as x approaches 1

Integral of 7/sqrt(16 - (x + 4)^2)

Integral of 25/(1 + 25x^2)

Integral of 1/sqrt(22-x^2)

Find the Vectors and Determine if they Are Equivalent

Find Vectors Given the Initial And Terminal Points Are They Equivalent

Write the Component Form of the Vector and Sketch with Initial Point at ...