Find the integral.
dx
A. 2x3 + x + C
B. x + C
C. 2x3 + C
D. 12x + C
Answer: A
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Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region bounded by y = 3
, y = 3, and x = 0 about the line y = 3
A. 
?
B. 3?
C. 
?
D. 
?
Provide an appropriate response.Graph y = sin-1(sin x). Explain why the graph looks like it does.
What will be an ideal response?
Solve the problem.A carousel has a radius of 19 feet and takes 34 seconds to make one complete revolution. What is the linear velocity of the carousel at its outside edge? Express the answer in feet per second rounded to two decimal places if needed.
A. 119.38 feet per second B. 11.24 feet per second C. 3.51 feet per second D. 0.56 feet per second
Solve.The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 40 feet and 
walls requires 
of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 10-foot walls.
A. 5.5 quarts B. 11 quarts C. 55 quarts D. 550 quarts