Find the center of mass of a thin plate covering the given region with the given density function.The region between the curve y = 
and the x-axis from 
to 
with the density function 
A. 
= 60, 
= 12
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Answer: B
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Find the derivative.s = t7 - csc t + 2
A. 
= 7t6 + csc t cot t
B. 
= t6 - cot2t + 2
C. 
= 7t6 + cot2t
D. 
= 7t6 - csc t cot t
Solve the problem.A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without looking, how many ways can you get 5 oranges?
A. 0 B. 24 C. 10 D. 6
Solve the problem.A nuclear cooling tower cross section is a hyperbola having a diameter of 52 ft at the center. The distance between the two foci is 96 ft. What is the equation for the hyperbola?
A. 
- 
= 1
B. 
- 
= 5
C. 
- 
= 1
D. 
- = 1
If you have ever ridden on a chair lift at a ski area and had it stop, you know that the chair will pull down on the cable, dropping you down to a lower height then when the chair is in motion. The figure shows a gondola that is stopped. Find the magnitude of the tension in the cable toward each end of the cable if the total weight of the gondola and its occupants is 1,900 pounds.
?
Apply the rules regarding the use of significant digits after all computations are complete.
?
?a? = 71.6, ?b? = 74.6
?
?
A. 
B. ?
C. ?
D. ?
E. ?