Solve the problem.Find the mass of the region of density 
bounded by the hemisphere 
and the xy-plane.
A. 40?
B. 20?
C. 10?
D. 80?
Answer: B
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Factor.(x + 5)3 - (x - 5)3
A. 10(3x2 + 25) B. (2x + 10)(x2 + 25) C. 5(x2 + 75) D. (x - 5)(x2 + 5x + 25)
Find the angle between vectors v and w. Round the answer to the nearest tenth of a degree.v = 
, w = 
A. 18° B. 72° C. 61.6° D. 28.4°
Solve the problem.A population of bacteria grows at a rate of P'(t) = 14 et where t is time in hours. Determine how much the population increases from 
to 
Round your answer to two decimal places.
A. 548.4 B. 267.2 C. 274.20 D. 281.2
A swimming pool is 10 ft wide and 36 ft long and its bottom is an inclined plane, the shallow end having a depth of 4 ft and the deep end, 12 ft. If the pool is full of water, find the hydrostatic force on the shallow end. (Use the fact that water weighs 62.5 lb/ft3.)
What will be an ideal response?