Let I = ," r-1)dzdrde. Our aim is to convert I into an equivalent triple integral in Cartesian coordinates / = , f(x,y.z)dV. Then f(x,y,z) is %3D equal to 1 + Vx2 + y2 1 -1 + x2+y2 x2+y2 the above function O the above function 1-- Vx2+y2 None of these the above function x² + y² A2+y2

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Q: UNIVERSIT b) Given z = f (x – y, 2x – 2y, 3x – 3y). Show that - dz dz + = 0. dy

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Q: Let S = Þ (D), where D = {(u, v) : u² + v² ≤ 1, u ≥ 0, v ≥ 0} and Þ (u, v) = (2u+1, uv, 3u + v). (a)…

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Q: as f(z) = e e analytic %3D

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Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = x + 6. Use the…

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Q: Q: Solve on white page clean and stepwise: Let f(x, y, z) = sinxyz, g(x, y, z) = x²yz, U = x²yi –…

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Q: Determine the type of points on the x(u, v) = (u, v, u²) surface. Differential geometry

A: Given point is Xu,v=u,v,u2.  This point is of the form Xu,v=fu,v,gu Let Xu,v=xi+yj+zk. Then,  x=u…