Use the method of variation of parameters to determine the general solution of the given differential equation. y"" - 2y" - y' + 2y = es NOTE: Use C₁, C2, and cs as arbitrary constants. y(t) = =

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Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

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A: This is a problem related to limit calculation. Based on epsilon-delta limit we will answer.

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Q: 2. Find the area bounded by y = x² - 2 and y = 2x + 1.

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Q: Find the general solution of the differential equation. y (4) + 2y"+y=7+ cos(5t). NOTE: Use C₁, C2,…

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A: In this question we have state whether the statement is True or False.

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Q: MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.)…

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Q: 52+45 lim x 9 x² + 13x + 36

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Q: Write the system of equations 4x + 2y + 2z = 5 - 4x - 3y + 3z = - 4x - 4y + 5z = - as a matrix…

A: The solution is given below

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A: Here we have to find the integral.

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A: Consider the following repeating decimal. 0.5To write the repeating decimal as a geometric series.

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A: Show that ∫2∞1x-1 is divergent.

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A: Given function,fx, y = 5x -4y

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Q: uestion 3 Find f(x+h)-f(x) given the following function. Answer f(x+h)-f(x) = | کے f(x) = 8x² + 5x

A: The solution is given below

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Q: 5 4 3 2 | y = f(x) 2 lim x 2- lim 1 0 1 2 3 lim x →7+ 1 Enter each answer as a whole number (like…

A: 1) Given at exactly x=4, function value is 5, Therefore f(4)=5

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A: Let's solve given integration.

Q: Evaluate du/dy at (x,y,z) = (2,2,0) for the function u(p,q,r) = epqcos(r); p = 1/x, q = x2lny, r = z

A: To evaluate dudy at x, y, z=2, 2, 0 for the function up, q, r=epq cosr; p=1x, q=x2 ln y, r=z