Find the length of the path for c(t) = (4(0 – sin(0)), 4(1 – cos(8))) over the interval 0 < 0 < 2r. (Use symbolic notation and fractions where needed.) S =

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Q: and as Use the chain rule to find sin(6) r = st, 0 = s + t3 dz as

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Q: Obtain the general solution of the following: 2. -z (2- 2) sec'e 3. xdx + sin () Lydx - xdy]

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Q: Which of the following is a particular solution Yp to y" + 2y' + 2y = cos /2t

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Q: 2. Find (in terms of t): x = 2 + 3 sin t y = -1+4 cos t

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Q: 3. Sketch the graph of the tent map 2x 0 < x < 1/2 T2(x) = { 2 – 2x S<1 %3D on the unit interval.…

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Q: 2. a) Determine the values of n and h required to approximate e2x sin 3x dx to with in 10-4 by the…

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Q: 1 1. The function Y = sin(t² )+ 4 is graphed below. Define F(x) = [, sin(1²) + - 1 dt 4

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Q: y" + 3y' + 2y = e* (t2 + 1) sin(2x) + 3e- cos x + 4e"

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Q: Find the length of the curve over the given interval. =8 r = 7(1+ cos 0), 0 <0< 2n

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Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

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Q: 3. Given that z = e" cos (), u = 4e2" – sin 2y, v = e" + n tan r. COS - Use chain rule to find dz/ðx…

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Q: 3. Let V = e" cos(qr), with p= r In(ryz), q = z cos(ry) and r = 2 tan-(y). Ae when r= y = 2 = 1. By…

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Q: 2. Find ý for each of the following. c) x³y6 +e!-* – cos(5y) = y². am

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Q: Let 1 = , x² cos(x) dx. The approximation of I using the two-point Gaussian quadrature formula is:

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Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 42 y =0 C. y…

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Q: The solution of the following Bernoulli's equation xy' + 2y = x¹(cos x) y² is

A: The correct answer is not given in options.The solution with the correct answer is given as

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Q: 2 tan-1(y). x In(xyz), q ƏV when x = y = % = 1. ду Let V = eP cos(qr), with p = z cos(TY) and r = By…

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Q: Q1\ Prove the left side equal to right side in the following : * L-1 (s² + a²y² - [sin at + at cos…

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Q: -1 (x³+y³ ,3. then xdw dw +y dy If w = tan x-y sin(w) sin(2w) cos(2w) None of these

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