Use the power series expansion of ƒ(x) = 1 x)²· 1- x for x < 1 to find a power series ex

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A: Note : According to our guideline I can solve only 1st , please reroute the remaining question.

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A: We have to find the derivative.

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A: According to our guidelines, we can answer only one question. Other questions can be reposted.

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Q: 3. Find the volume of the solid that lies under the paraboloid 5z = x² + y², above the xy-plane, and…

A: To find the volume of the solid that is bounded by given curves.

Q: 4. 5. (3t dt)/((t² + 3)) dx/ (3x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

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Q: ? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy.…

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A: This question can be solved using the concept of cross product of vectors.

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