Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cone z = 2√x² + y² between the planes z = 4 and z = 8 Let u = r and v= 0 and use cylindrical coordinates to parametrize the surface. Set up the double integral to find the surface area. JSO du dv (Type exact answers.)

Q: Find the area of surface that is generated by revolving the portion of the curve 9 – y² , – 2 < y< 2…

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Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: Given, x2+y2+z2=4 and cone z=x2+y2 In spherical coordinate, x=ρsinϕcosθ,  y=ρsinϕsinθ  and z=ρcosϕ…

Q: Find the area of the surface obtained by rotating the curve.

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Q: 3 Reverse the or der of intagration and do not evaluate. xp hp 0, 3.3 Show the region.

A: To reverse the order of integration and do not evaluate.∫01∫x11y3+8 dy dx

Q: Find the area of the surface. The portion of the paraboloid z = 64 – x - y²in the first octant

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Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 392x The…

A: We have to find the area of surface.

Q: Use spherical coordinates to describe the region above the xy-plane between the spheres of radius 1…

A: (1) First question is the conversion of cartesian co-ordinate system to spherical co-ordinate…

Q: Q1. For the following shape, a. Find the location of centroid. b. Find the area moment of inertia…

A: Solution is in step 2

Q: Find the area of the surface. The surface with parametric equations x = u², y = uv, z = -v², 0 sus…

A: Area of parametric surface given by r(u,v) , a&lt;u&lt;b and c&lt;v&lt;d Area=∫ab∫cdru×rvdv du

Q: Find the area of surface that is generated by revolving the portion of the curve x = V64 – y² , – 2…

A: Solution :-