(c) Let h be the function defined by h (2) = g(t) dt write the first four nonzero terms and the general term of the Maclaurin series for h. Use the first two terms of your answer to approximate h (1). B 0/ 10000 (d) Explain why the approximation found in part (c) differs from the actual value of h (1) by less than B x* X: 5

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A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: see the question  and equation as attached here

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A: Topic = Series

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A: Given: The power series11-x=∑n=1∞xn. The function f(x)=ln(1+x2).

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Q: I need help with 2a and 2b

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A: here i used Taylor's Expansion to solve this question.

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A: We have to find the power series of f(x).

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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A: Solve the following

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A: The Fourier sine and cosine series of given function is given as follows

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A: Given function isf(x)=sinh(x)The Maclaurin series of the functionis determined as shown below

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Q: 4. Find the Power series representation of f(x) = e* + 1+2x centered at x =0. You may assume the…

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A: Since this question is lengthy. So we have solve subpart (a) for you.If you want solution for other…

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A: follow next step

Q: Find a power series representation of: f(x) =1/((3+x)^2)

A: The function is given by; f(x)=13+x2 Taking 3 out from the denominator,  f(x)=1321+x32     ⇒fx =19…