2. Find the limit or show that it does not exist: lim (2,y)→(0,0) 2x6 + y?

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A:

Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

A: answer is in next step

Q: 9. Determine by the root test if Ln=2 (4n-5\n 2n+1, converges or diverges.

A: Explained below

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A: The given function is: f(x)=2+kx, x≤15+3x, x>1

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A: Given

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A: Topic:- function

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A: Function

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A: The given functions,fx=3x-5gx=6x2+8x+27

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A: Solution : The given matrix is

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Q: Test the series for convergence or divergence. 4 6. 8 10 .... 7 8 10 11

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A: We need to find rate of change of area.

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A: As per guideline we have to solve one question Please repost other question again

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A: We have to match according to the given information

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A: We have to answer following Questions.

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A: Follow the procedure given below.

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A: The length of the ladder is 7.5 meters and the top is sliding down the wallat a rate of 0.4 m/s.

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A:

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A: answer is in next step

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A: To find out the integration.

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A: Here we will check whether series is converges or diverges,

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A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

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A: Given curve, r=2+3cosθ

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A: Given  f(x) = ln xx We have to find the first and second derivative.

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A: We will solve the integration.

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Q: 3. S sin³ 0 cos³ 0 d0

A: Given

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A: I am attaching image so that you understand each and every step.

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A:

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A: By using Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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A: We have to find if the given statement is true or not.