Solve the problem.Find the center of mass of the region of constant density bounded from above by the sphere 
and from below by the cone 
A. 
= 0, 
= 0, 
= 3(2 + 
)
B. 
= 0, 
= 0, 
= 
(2 + 
)
C. 
= 0, 
= 0, 
= 
(2 + 
)
D. 
= 0, 
= 0, 
= 
(2 + 
)
Answer: B
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A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last the indicated amount of time.Between 540 hours and 780 hours
A. 2,215 B. 1,717 C. 2,217 D. 1,710
Find the equation of the normal line to the indicated curve at the given point.y = 
at 
A. 8x + 22y + 113 = 0 B. 8x - 44y + 113 = 0 C. 8x - 22y - 113 = 0 D. 8x - 44y - 113 = 0
Find the first four nonzero terms in the Maclaurin series for the function.f(x) = e4x
A. 1 + 4x + 
+ 
+ . . .
B. 4x + 64x3 + 1024x5 + 16,384x7 + . . .
C. x + 4x + 
+ 
+ . . .
D. 1 + 4x + 
+ 
+ . . .
Write the statement in sentence form. Let p, q, and r represent the following statements.p: The puppy behaves well.q: His owners are happy.r: The puppy is trained.r ? (p ? q)
A. The puppy is trained if the puppy behaves well and his owners are happy. B. The puppy is trained, and if the puppy behaves well then his owners are happy. C. The puppy is trained, or if the puppy behaves well then his owners are happy. D. If the puppy is trained then the puppy behaves well, and his owners are happy.