By using the substitution t² determine the convergence of = S ∞ dx (x+1)√√x*

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Q: = In (). 5. If z= In determine if the following statement is true or false. Justify your answer.

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A: Topic:- simplification

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A: To find out the derivative of the function.

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A: We have to find out limit

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A: In this question, we want to find the dot product of the given vectors u and v.

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A: The solution is given below

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A: We can solve this as follows:

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A: The understanding of Eigen value and Eigen vectors are required to solve these kinds of problems.

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Q: 1. Estimat 2. Answer a. Fir b. Fi C. F

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the approximate value…