For what values of p does the series below converge? Select the correct answer below: Op=0 Op<0 O p>0 ∞ Σ 14 sin (-²) Σ– np n=1

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A: Given a function y=f(x)

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A: Please see the below picture for detailed solution.

Q: A function F(x) is called an antiderivative of f(x) if

A: Our Aim is to tell when does a function F(x) is called an antiderivative of f(x)=?

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A: To state the sign change of the function at the point C.

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A: check the conservative of f using curl of F

Q: 8. If ƒ(x) = − x² + x, which expression represents ƒ (x) ? A. −−(x+h)²+(x+h)-(-x²+x) h B.…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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Q: Obtain a series representation for f(x) = x²e in powers of x. Specify the region of convergence.

A: Please see the below picture for detailed solution.

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A: If  ∫06fx dx=12, then to determine the value of ∫06f6-x dx.

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A: we need to graph the polar coordinates and have to label them.

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Q: Find the area of the region enclosed by y=e5x, y=e10x and x=1

A: To find area of the region.

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Q: Expand, that is, perform the indicated operations on the differential operator D. (xD + 2)(xD - 2)

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Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

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A: Please see the below picture for detailed solution.

Q: )=

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Q: FIND THE 2ND DERIVATIVE 4. cos xy-y-3x = 0 Solution:

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Q: Find the area of the graph enclosed by y=7x and y=4x2

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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A: Graph of the function is given, we have to find the right Riemann sum using 4 rectangles to…