6. Use spherical coordinates to evaluate SLESE + y² + 2² dzdxdy.

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Q: 3. 1 1 1 SSS √√(x + y -1 -1 -1 (x+y+z)dydxdz

A: Sol:- ∫-11∫-11∫-11x+y+zdydxdz

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Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

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A: Given as,               L-t*e-at*u-t=

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Q: 1. Answer the following: a. Find the domain: f(x) = - +++ x+1 2+4x m+3x c. If h(x) = √√x and k(x) =…

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Q: 1. Use the Modified Euler method to approximate the solutions to each of the following initial-value…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: .Given an initial value problem y'= y² sin (t) with y(0)=-3. (€) 2 a. Approximate y using Euler's…

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Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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Q: * The Laplace transform of x(t) = u(t) — u(-2)8(t) (1/s)-u(-2) O (1/s)-1 O (1/s)+1 1 1/s

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Q: The Cauchy-Schwarz inequality states that {f, g)| ≤ ||f|| ||g|| for every f, g € H.

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Q: General solution of the differential equation dx -+2xy =xe* y ²y^² = ²1 e ²² + c (1) e 22 +c (4) +c…

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Q: The z-transform of [n] = u[-n] is

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Q: * The Laplace transform of x(t) = u(t) — u(−2)8(t) (1/s)-u(-2) O (1/s)-1 O (1/s)+1 O 1 O 1/s

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Q: Q2. Use the Stokes' Theorem to find fF.dr where F(x,y,z) = and C z=9-x²-y² on the xy plane oriented…

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