Solve the problem.Satterfield Pavement's marginal cost, in dollars, of paving a road with asphalt is given by C'(x) = 
x2 - 25x + 2200, for x ? 20,where x is measured in hundreds of feet. Use 4 subintervals over 
and the left endpoint of each subinterval to approximate the total cost of paving 1000 feet of road.
A. $21,144.53
B. $23,019.53
C. $8457.81
D. $21,076.56
Answer: A
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Find the average value of 
over the given region.
over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 36 B. 72 C. 27 D. 18
For the given functions f and g, find the requested composite function value.f(x) = 
, g(x) = 5x;
Find (f ? g)(2).
A. 
B. 5
C. 
D. 5
Analyze the graph and write the equation of the function it represents in standard form f(x) = a(x - h)2 + k.
A. y = 
(x + 4)2 + 1
B. y = 3(x + 4)2 + 1
C. y = -3(x + 4)2 - 1
D. y = - 
(x + 4)2 - 1
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2