Solve the problem.Assuming C is a simple closed path , what is special about the integral  ? Give reasons for your answer.

What will be an ideal response?


The integral is 7 times the area enclosed by C.

Mathematics

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Find the x- and y-intercepts of f.f(x) = 2x3(x + 4)5

A. x-intercepts: 0, 4; y-intercept: 0 B. x-intercepts: 0, -4; y-intercept: 0 C. x-intercepts: 0, -4; y-intercept: 2 D. x-intercepts: 0, 4; y-intercept: 2

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Find the dot product, u ? v, for the given vectors.u = , v = 

A. -28 B. -6 C. 78 D. -12

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Imagine that a US-based firm wants to begin selling its products in Mexico. Which of the following resources or capabilities are necessary for the firm to succeed in entering the Mexican market?

A. Manufacturing capacity to produce sufficient quantity of its products B. Financial capital to support distribution in Mexico C. Capability to market and sell its products in a country outside the US D. All of these

Mathematics

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

Mathematics