QUESTION 9.42 If you know that f is the fourier series of the following: g(t) = {5, -7 < t <0 249-t², theh: (fill in the f(t)= + 0≤t <7 blanks) 2 ((_____) cos(^T t) + (_ Now solve the following: f(-7)= f(-3-5)= f(0) = f(1) = f(7) =_ _) sin (4=t))

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A: The given rectangle .Also .To Find:Riemann sums over and under-estimate.

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Q: (a). 2t²u" + 3tu'- u = 0,t> 0

A: The given differential equation is,let us substitute t=ez so z=logt and hence

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Q: CASE STUDY 4.4 Linear Programming Simplex Method Nicanor Processing Company produces an insecticide…

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Q: System (a) 2x₁ + 6x3 + x4 = 5 2x1 + 2x2 +8x3 − 3x4 = −3 - -3x1 + x2 - 8x32x4 = -7 x₁ + 3x3 2x4 = -5

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Q: Make a math drawing of small bundled objects to show how to represent 0.000032

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Q: Exercise 8 Evaluate [F.dr where F(x, y, z)=xi+ y j−5z k and C is given by r(t)= 2 cost i + 2sint…

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Q: 5. Use geometric series to show that: 1 (a) Σo(-1) k = 1 if−1 < x < 1 1 (b) Σ(x-3) = ¹ if 2 < x < 4.…

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Q: Below is an incomplete proof Prove that 3n2 > 2(n+1)2 for n ≥ 5 3n2 > 2(n+1)2 Is equivalent to 3n2 >…

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Q: Use Gaussian elimination to solve the following linear system. x+2y-z=1 2x+3y + 12 = 2 x+3y- 2z = 3

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Q: (a) Let n ≥ 2 and let ₁, 2,...,n+1 ER with x x1 for all "n + 1. 1 ≤i, j≤n we have (A) ij = 2 Ti+1…

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Q: (-1)" 7n1.48 +9 O absolutely convergent O conditionally convergent O divergent The series n=0 is

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Q: Sketch the plane curve over the given interval r(t) = (t +1) i+t² j with 0 ≤ t ≤ 6.

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