Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: cylinder x2 + z2 = 81 bounded by y = 0 and y = 2Density: constant

A.
B.
C.
D.


Answer: C

Mathematics

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Find the zeros of the rational function.R(x) = 

A. x = - , - 
B. x = - , - 1
C. x = , 1
D. x = 

Mathematics

Find the velocity and position vectors of an object with acceleration a(t) = 4i-72tj+(72+4)k, initial velocity v(0)=i+k, and initial position r(0)=j+3k.

What will be an ideal response?

Mathematics

Solve the problem. If necessary, round to the nearest tenth.An airport has a sloping ramp from the terminal down to the door of an airplane. The door of the airplane is 49 feet away from the terminal (at the point where the ramp starts) and is 7 feet below the terminal side of the ramp. How long is the ramp?

A. 7.5 ft B. 9.9 ft C. 49.5 ft D. 48.5 ft

Mathematics

Solve the problem.A circular swimming pool, 20 feet in diameter, is enclosed by a circular deck that is 5 feet wide. What is the area of the deck? Use ? = 3.1416.

A. 314.2 ft2 B. 942.5 ft2 C. 392.7 ft2 D. 675.4 ft2

Mathematics