Consider the series
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Determine whether the geometric series converges or diverges.
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If it converges, find its sum.
What will be an ideal response?
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Find the center and radius of the circle.(x + 5)2 + (y + 4)2 = 4
A. Center: (-4, -5), radius = 2 B. Center: (5, 4), radius = 4 C. Center: (4, 5), radius = 4 D. Center: (-5, -4), radius = 2
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
Rewrite with only sin x and cos x.cos 2x - sin x
A. cos2 x - 3 sin x B. cos2 x - sin2 x - sin x C. cos2 x - sin3 x D. cos2 x + sin2 x + sin x
Solve the problem.A rare species of insect was discovered in the rain forest of Costa Rica. Environmentalists transplant the insect into a protected area. The population of the insect t months after being transplanted is P(t) = 
.a) What was the population when t = 0?b) What will the population be after 10 years?c) What is the largest value the population could reach?
What will be an ideal response?