A particle started to move from the origin along a curve with velocity given by the function Cos T sin T, v(T) = e° for any time T > 0. 1. Determine the particle's acceleration at T 2 2. Find the particle's position at any time T.

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A: we know  ex = 1+ x/1! + x2/2! +.....

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A: Topic:- integration

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A: This question is related to Functions, we will solve it using given information.

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A: The objective of the question is evaluate the indefinite integral.

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A: The detailed solution is given below thank you

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A: Topic = Limits

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Please refer to the image below

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A: We can find the equation of sphere as below.

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A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…

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A: This question can be solved using the concept of special integrals.

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Q: .9

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A: Differentiation

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A: Let's find.

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: Topic = Derivative

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A: