For vector A = < x²yz, xy²z, xyz² >, calculate the surface integral (f, A · ds)

Q: Parameterize the intersection of z = - Vx² + 7y² _and x² + y? + z? = 200

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Q: he vector v = , is tangent to the surface x2 + 2y3 - 3z2 = 3 at the point (2, 1, 1).  Find a.

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Q: Find the Area of the Surface obtained by rotating the curve about the y -axis y = √√x, 1 ≤ y ≤2

A: Given y=x13    1≤y≤2Rotating about y-axisarea of surface of revolution about tghe y…

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Q: Let the temperature / in degrees at the point X,y,z), with distances measured in cm, be T(X,y,z)=5x…

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Q: Parametrize y = -x2 + 4 in terms of u and v %3D

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Q: Let S be the surface obtained by revolving the plane curve 2x=sqrt(9−y2) about the y-axis.Obtain a…

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Q: calculate div(F) and curl(F). F = (xy, yz, y² – x³)

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Q: Find the area of the region enclosed by y = 5x – x and y = x Refer: Area between Curves O 12/5 O…

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Q: For the function f(x, y) (5,-4) that has a positive Question Help: D Video -4-2²-² 1 component. find…

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Q: :. Find the center of mass of a solid of constant density bounded below by the plane z=0 and above…

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Q: 1 V3 T Find the tangent plane equation to the helicoid 7(u, v)=ucosv í +usinv j +vk at point 2 2 3…

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Q: Explain how to set up a surface integral given that you will project the surface onto the xz-plane.

A: Let the provided surface is S and the function is f whose integral over surface S is to be find.…