Find an equation for the line that is tangent to the curve x=t+e', y=1-e' at the point corresponding to t= 0. Also, find d²y/dx² at this point.

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we have

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A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

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A: we will find the required.

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A: Please see the below picture for detailed solution.

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A: we need to graph the functions.

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A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

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Q: the a

A: The solution provided is correct.

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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.

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A: The given problem is solved below in detail.

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Q: 9. Determine whether the following series converge or diverge: a) Em=o -2n

A: Since you have asked multiple questions in a single request we would be answering only the first…

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