The Math Sorcerer

Thursday, June 11, 2015

How to Prove the Squeeze Theorem for Sequences

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Intuitive Explanation of the Derivative and it's Definition Calculus

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Proof that f(x) = 1/x is not Uniformly Continuous on (0,1)

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Proof of Bernoulli's Inequality using Mathematical Induction

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Solve the Differential Equation dy/dt - y = 1, y(0) = 1 using Laplace Tr...

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Find the Inverse Laplace Transform of 2/s^4 + 3/s^7 - 4/s^8

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Inverse Laplace Transform of s/(s^2 + 5s + 6) using Partial Fractions Co...

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Solve the Quadratic Equation 3x^2 + 4x + 1 = 0 by Completing the Square

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Find the Laplace Transform of f(t) = sin(7t)cos(7t)

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Find the Inverse Laplace Transform of 1/s^5 - 1/s^4 + s/(s^2 + 81) - 3/(...

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Find the Inverse Laplace Transform of 7/(2 - 5s)

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Find the Inverse Laplace Transform of 5/s^3 + 7/s^4

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Find the Laplace Transform of f(t) = sin(3t)cos(2t)

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Inverse Laplace Transform with Partial Fractions Cover-Up Method

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Find the Inverse Laplace Transform of (4s - 6)/(s^2 + 16)

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Find the Inverse Laplace Transform of 1/(3s + 1)

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Find the Inverse Laplace Transform of 3/(s^2 + 64) + 2s/(s^2 + 81)

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Wednesday, June 10, 2015

Find the Inverse Laplace Transform of 1/s^2 - 10/s^6

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Find the Inverse Laplace Transform of 1/s^3 + 1/s^4 + 1/s^5

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Find the Inverse Laplace Transform of 1/s^3

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Find the Inverse Laplace Transform of 1/s^3

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Tuesday, June 9, 2015

Find the Laplace Transform of f(t) = cos^2(3t)

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Monday, June 8, 2015

Find the Laplace Transform of f(t) = sinh(5t)cosh(2t)

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Find the Laplace Transform of f(t) = 8t^2 + sin(5t)

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Find the Laplace Transform of f(t) = 4 + t + e^(-7t)

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Proof of De Morgan's Law for the Union of Two Sets

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Find the Differential Equation given the General Solution y = C_1 + C_2x...

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Solve the Homogeneous Differential Equation 3y'' + 2y' + y = 0

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Determining if Functions are Linearly Independent or Dependent using the...

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Find the Differential Equation given the General Solution y = C_1cos(6x)...

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Solving a Fifth Order Linear Homogeneous Differential Equation

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Find the Differential Equation given the General Solution y = C_1 + C_2e...

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Homogeneous Linear Third Order Differential Equation y''' - 7y'' - 8y' = 0

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Find the Differential Equation given the General Solution y = C_1e^x + C...

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Homogeneous Linear Third Order Differential Equation y''' - 9y'' 15y' ...

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Monday, June 1, 2015

Convergence of Cesaro Means(Averages) Advanced Calculus Proof

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Proving a Sequence Converges Advanced Calculus Example

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Reverse Triangle Inequality Proof

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Proving an Equation has a Solution using the Intermediate Value Theorem

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Variation of Parameters y'' + y = sec(x)

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Proof that the Sequence (-1)^n Diverges using the Definition

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Proving Functions are Linearly Independent using the Wronskian

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Linearly Independent Functions with Wronskian Equal to Zero

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Solve the Homogeneous Differential Equation y'' + 36y = 0

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Find a Harmonic Conjugate of u(x, y) = sin(x)*cosh(y)

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