Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 32 and y = x2
A. 
= 0, 
= 
B. 
= 0, 
= 32
C. 
= 16, 
= 0
D. 
= 0, 
= 16
Answer: D
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Find the absolute extreme values of each function on the interval.y = 7 - 8x2 on [-4, 5]
A. Maximum = (0, 7); minimum = (5, -193) B. Maximum = (0, 56); minimum = (-4, -121) C. Maximum = (0, 8); minimum = (5, -207) D. Maximum = (0, 14); minimum = (5, -121)
Perform the operation and write the result in the standard form.(9 - 3i)(2 + 9i)
A. -9 - 87i B. 45 + 75i C. 45 - 75i D. -27i2 + 75i - 18
Find a formula for the nth term of the arithmetic sequence whose first term a and common difference d are given.a = -3; d = 
A. an = -3n + 
B. an = 
n + 3
C. an = 
n - 
D. an = 
n - 3
Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.-2, 2, -2, 2, -2, . . .
A. yes, 2 B. yes, -2 C. no D. yes, -1