Derive the Taylor series for cos t by applying the Picard method to the first-order system corresponding to the second-order initial value problem x" = -x; x(0) = 1, x'(0) =0. Please write your own answer. Don't copy another answer from Chegg.

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A: Here is the solution

Q: Please review and solve problem 8 part 'a' and 'b' and explain how the answer was found. Problem…

A: The answer is,Explanation:Consider,Used formulas:∫1 dx=x+C∫xn dx=n+1xn+1​+Crounded to six decimal…

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Q: x) = cos in the interval of (-T, 7) %3D

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: 1 a) f(x) = at x=2 1-x

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A: Given that  fx=xif 0&lt;x&lt;36-xif 3≤x&lt;6   (a)  The half range Fourier Sine series of f(x) is…

Q: 5) S(x)=sin(7x) 0<x<l Ans. cos(27 x) + cos(4 x) +.. (3)(5)

A: Solution

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A: Taylor series is given by;f(x) = ∑k=0∞fk(a)k!(x-a)k

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Q: 4 sinx+=sin3x +=sin5x+..... and that when x=, 1 1 6. If it is given that the Fourier Series is f(x)=…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: Q2)/ Solve the following Fourier series: f(x) = Isinx| = sinx ; If 0 <x <2n - sin x ;If - <x<0

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