In the following exercises, differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f. Σ(-1)"x" 87. f (x) 88. f (x) = = 1+x = ∞ n=0 ∞ Σ n=0 x²n ∞ In the following exercises, given that=x", use term-by-term differentiation or integration to find power n=0 series for each function centered at the given point. 95. f (x) = In x centered at x = 1 (Hint: x = 1 -(1-x)) 96. In (1-x) at x = 0 In the following exercises, find the Taylor polynomials of degree two approximating the given function centered a the given point. 116. f (x) = 1 + x + x² at a = 1 117. f (x) = 1 + x + x² at a = -1

Q: the mU was not 10 it was 5

A: Random variable x~Normal( μ  , σ2=25) Sample of size n=16 Hypothesis testing H0: μ=5 Ha; μ >5 At…

Q: What is the value of (-10)?

A: Consider  (-10)

Q: try again, answer is incorrect

A: Let's find minimum distance between point and plane.

Q: What does it means to know mathematics?

A: We will give answer by using the concept of uses of mathematics..

Q: Thank you for steps

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Q: Complete the table

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Q: whats the actual answer i need to write in the box

A: The actual answer is 18(-1)nx2n+1/(2n+1)!.

Q: Pls I need

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Q: Answer unclear

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Q: d. (10011)2 – (10101)2 e. (706)s – (74)s

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Q: Need help solving, thought I knew how to help my son but got myself confused.

A: By using surface area formula, we calculate the required surface area.