Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the 
. y = x2 + 3, y = 2x + 3
A. 
?
B. 
?
C. 
?
D. 8?
Answer: B
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Solve the problem.The velocity field F of a fluid has a constant magnitude k and always points towards the origin. Following the smooth curve y = f(x) from (a, f(a)) to (b, f(b)), show that the flow along the curve is 
ds = k[(a2 + (f(a))2)1/2 - (b2 + (f(b))2)1/2]
What will be an ideal response?
Factor.9y2 + 18y + 8
A. (3y - 2)(3y - 4) B. 9y2 + 18y + 8 C. (3y + 2)(3y + 4) D. (9y + 2)(y + 4)
Solve the problem.A barge is located 200 feet away from the coastline 1200 feet down the coast from a power source at point A. To supply the barge with electricity, a power line will be run from point A to a point B on the coast and then from point B to the barge. If power lines on land coast $3 per foot and power lines under water cost $5 per foot, calculate the total cost of running a power line from point A to the barge when point B is 800 feet down the coast from point A in the direction of the barge. Recalculate the total cost when the distance from A to B is increased in 50-foot increments, until you locate a possible minimum cost. Interpret your solution.
width="367" /> What will be an ideal response?
Find the partial derivative.f(x, y) = e2xy. Find 
.
A. fx(x, y) = 2ye2x B. fx(x, y) = 2e2xy C. fx(x, y) = 2ye2xy D. fx(x, y) = 2(x + y)e2xy