Deck 12: Extension F: Multiple Integrals

Question 1

Find the center of mass of a homogeneous solid bounded by the paraboloid and

Answer 1

Question 2

Use cylindrical coordinates to evaluate where T is the solid bounded by the cylinder and the planes and

A)
B)
C)
D)

Answer 2

Question 3

Use cylindrical or spherical coordinates,whichever seems more appropriate,to evaluate where E lies above the paraboloid and below the plane

A) 160.28
B) 175.37
C) 176.38
D) 175.93
E)

Answer 3

Question 4

Use cylindrical coordinates to evaluate the triple integral where E is the solid that lies between the cylinders and above the xy-plane and below the plane

A) 0.54
B) 0
C) 3.4
D) 8.57
E) 9.19

Question 5

Use cylindrical coordinates to evaluate

A)
B)
C)
D)