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WILL RATE Find the area of the portion of the sphere of radius 5 (centered at th

ID: 2982123 • Letter: W

Question


WILL RATE

Find the area of the portion of the sphere of radius 5 (centered at the origin) that is in the cone z > x2 + y2. Write down the iterated integral which expresses the surface area of z = y4 cos5 x over the triangle with vertices (-1,1), (1,1), (0,2): b a g(y) f(y) h(x,y)dxdy a = b = f(y) = g(y) = h(x,y) = Find the surface area of the part of the circular paraboloid z = x2 + y2 that lies inside the cylinder x2 + y2 = 9. Find the surface area of the part of the plane lx + 5y + z = 5 that lies inside the cylinder x2 + y2 = 9.

Explanation / Answer

Since intersection of two cylinders is a solid, I assume you are looking for surface area of this solid.

Surface area of intersection of two cylinders of radius r = 16r