Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 18 and y = x2
A. 
= 0, 
= 18
B. 
= 0, 
= 
C. 
= 0, 
= 9
D. 
= 9, 
= 0
Answer: C
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Find the derivative of the function at the point p in the direction of a.
p = 
a = 6i + 8j
A. 
B. - 
C. 
D. - 
Solve the problem.Don James wants to invest $53,000 to earn $5530 per year. He can invest in 
bonds paying 
per year or in a Certificate of Deposit (CD) paying 
per year. How much money should be invested in each to realize exactly $5530 in interest per year?
A. $31,000 in B-rated bonds and $22,000 in a CD B. $22,000 in B-rated bonds and $31,000 in a CD C. $21,000 in B-rated bonds and $32,000 in a CD D. $32,000 in B-rated bonds and $21,000 in a CD
Find the square.-(2y - 9)2
A. -4y2 - 81 B. -4y2 + 36y - 81 C. -4y2 + 36y + 81 D. 4y2 - 36y + 81
Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where f(x) is increasing or decreasing as indicated. Increasing
A. (-2, 2) B. (-?, -2), (2, ?) C. (0, ?) D. (2, ?)