Express the periodic loading shown using Fourier's series expansion. F(t) F(t)= (1) Oct 25 +++ 0 2T

Q: Question 8 Given f(x)=x and g(x)=-+2, determine: a) (fog)(2) b) (gog)(-1) c) (gof)(x) =

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A: NOTE. Answer form may vary depending upon choice of eigen vector.

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A: Sol:- ∫0π45sin23xdxTake the constant out:  ∫a·fxdx=a·∫fxdx=5·∫0π4sin23xdx=5·∫0π4121-cos6xdxTake the…

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A: It is known that: ddxf(gx)=f'(g(x))g'x.

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Q: QUESTION 6 Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False. QUESTION 7

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Q: Compute the definite integral T/4 0 5 sin² (3x) dx

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Q: Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the…

A: Sol First Method:-   Le-7tcos3tApply transform rule:  if Lft=Fs then  Leatft=Fs-a

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Q: Q/Find half-range sine and cosine expansions of each of the following functions : 0 ≤ t ≤ 1 1≤t≤2 7…

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A: see my solution

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A: To Write: (a) The mathematical expression for the function given in the sketch. (b) To find: x(0)

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A: It is full rectified. The Fourier series expansion in a full period.

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Q: If ~1,..., η € C, with n > 2, use induction to prove that TU Σ j=1 = n Σ j=1

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