Solve the differential equation.3y" + 10y' - 8y = 0

A. y = c1e-4x + c2e2x/3
B. y = c1e-4x + c2e-2x/3
C. y = c1e-4x + c2e2x
D. y = c1e4x + c2e-2x/3


Answer: A

Mathematics

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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

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Express the product as a sum or difference.sin 3x sin 7x

A. (cos 4x - cos 10x)
B. sin2 21x2
C. (cos 10x - sin 4x)
D. (- cos 4x - cos 10x)

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Show that the equation is not an identity by listing the value(s) of the variable from among 0, ?/4, ?/2, and - ?/4 for which the equation is false.sin4? + cos4? = 1

A.  and - 
B. , and 0
C. , and - 
D.  and 0

Mathematics