Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 64 - x2 and the x-axis, with density ?(x) = 8x2
A. 
= 0, 
= 
B. 
= 0, 
= 
C. 
= 0, 
= 
D. 
= 
, 
= 0
Answer: C
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Find the exact value of the expression or state that it does not exist.cos-1
A. 
B. 
C. 
D. 
Solve.A painting was sold in 1985 for $ 2 million. The painting was then resold in 1996 for $ 6 million. Assume that the painting's value increases exponentially. Find the exponential growth rate k, and determine the exponential growth function, assuming V0 = 2. (Round decimals to three places.)
A. k = 0.1; V(t) = 2e0.1, where V(t) is in millions and t is the number of years after 1985. B. k = 0.1; V(t) = 2e0.1t, where V(t) is in millions and t is the number of years after 1985. C. k = 0.1; V(t) = 2e0.1t, where V(t) is in millions and t is the number of years after 1997. D. k = 0.092; V(t) = 2e0.092t, where V(t) is in millions and t is the number of years after 1985.
Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. Zeros: 0, - 5, 4; degree 3
A. f(x) = x3 + x2 - 20x B. f(x) = x3 + x2 + 20x C. f(x) = x3 + x2 + x + 20 D. f(x) = x3 + x2 + x - 20
Add.7.42 + 0.22 + 34.72
A. 42.46 B. 42.36 C. 41.46 D. 41.36