Given f(x) and g(x), find the indicated composition and evaluate.f(x) = x2 + 2; g(x) = 4x + 5Find (g ? f)(7).
A. 1091
B. 56
C. 209
D. 199
Answer: C
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Evaluate.
× 5
A. 
B. 
C. 
D. 
Find the Taylor polynomial of order 3 generated by f at a.f(x) = x2, a = 4
A. 16 + 8(x - 16) + (x - 16)2 B. 16 + 8(x - 16) + 12(x - 16)2 + 16(x - 16)3 C. 1 + 32(x - 16) + 192(x - 16)2 + 1024(x - 16)3 D. 1 + 8(x - 16) + 12(x - 16)2 + 16(x - 16)3
Integrate using any method.
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