Question: Multivariable Calculus Question 8. (18) Set up (do not evaluate) multiple integrals for each of the following, as indicated. (a) (6) volume of the wedge

Multivariable Calculus Question

Multivariable Calculus Question 8. (18) Set up (do not evaluate) multiple integrals

8. (18) Set up (do not evaluate) multiple integrals for each of the following, as indicated. (a) (6) volume of the wedge cut from the cylinder 32 +392 = 9 by the planes 2 = U and z = y+3 (double integral in polar coordinates or triple integral in cylindrical coordinates) (b) (6) f I IS m 05V where S is the solid inside the sphere 2:2 +y2 + Z2 = 4 above the cone z = 1/32 + 3;? (triple integral in spherical coordinates) (c) (6) volume of the frustum of the cone 2 = m2 + :92, between the planes 2 = 1 and z = 2 (your choice of method)

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