Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that has a power series expansion. Do not show that R(x)0.] f(x) = 4(1-x)-2 Find the associated radius of convergence, R.

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A: Please refer to the image below.

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Q: Express the following sums using sigma notation. a. 5+6+7+8+9 b. C. 1³ +2³+3³ +4³ 3 4+8+12+16+20+24

A: As per the company guideliens we are supposed to answer only first three subparts.Kindly repost the…

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A: we need to find out the curl of function

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Q: Evaluate the indefinite integral. 4 (t+5)³ dt

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Q: Find the derivative of the trigonometric function y = - 7xsin(5x).

A: Given,            y=-7xsin5xTo find : Find the derivative of the trigonometric function.