Express the series in terms of elementary functions and find the radius of convergence of the sum. 00 (2-2) x2n+1)= n=0 Radius of Convergence: 1 1 1-2

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Q: QUESTION 6 (3 points) Evaluate the integral. f 77 5- sin 6x b dx 0 O 18 18

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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Q: QUESTION 5 (3 points) Find dy/dt. y= cos(/10+12) 5 -sin 10+12 5 sin(10t+12) 10t+12 1 sin(10t+12)…

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A: Step 1:​f(x)=(13+x)9x​​Step 2:​Using the known power series:1+x1​=n=0∑∞​(−1)nxnReplace x with…

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Q: Please see image

A: Part (a): ∑n=1∞​(−1)n(2n)!n⋅30n⋅n!​ Analysis: First, let's consider the absolute convergence of the…