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I would really appreciate this help on a practice quiz consider the region E bounded above by the cone z = 5 ( x 2
I would really appreciate this help on a practice quiz
consider the region E bounded above by the cone z=5(x2+y2) and below by the paraboloid z=6+x2+y2
a. Write the equations of the cone and the paraboloid in cylindrical coordinates. Then, find the values of z and the values of r where the surfaces intersect.
b. Sketch the solid E, include the equations of the surfaces. Sketch the projection onto the xy -plane (shade the region), include the equations of the curves.
c. SET UP the integral in cylindrical coordinates for the volume of the solid.
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