Taylor (3) a) Begin with ×2 4 cos(x) = 1- x² + x² x6 4! 6! Series and mimic Euler's work Ci.e equate the infinite Sum with an infinite product) to derive the sum of the reciprocals of squares of the odd inlegers: 1 + 1/q 1/5 + 1/2 + 1/1/1 9 772 8 b) use pont (a) to get an independent result of Eulen's Theorem: 1 + 1/2 + 1/9 + 1/6 +225 +36 13/0

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A: Explanation of the solution is given below...

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A: Solution

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A: A detailed solution is given below

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A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

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A: First I have written the standard formula of integration, just use the formula for the given…

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A: Explanation of the answer is as follows

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A: The given integral

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A: The given matrices are: A=1-2034-1-213 and B=4-23-180612 Find the value of AB.

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