Verify the first special case of the chain rule for the composition f∘c in each of the cases: (a) f(x, y)=xy, c(t)=(et, cost)

(b) f(x, y)=exy, c(t)=(3t2,t3)

(c) f(x, y)=(x2+y2)log√x2+y2,c(t)=(et, e−t)

(d) f(x, y)=xexp(x2+y2),c(t)=(t,−t)

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Barbara has a good credit history and is able to purchase a car with a low-interest car loan. she co-signs a car loan for her friend jen, who has poor credit history. then, jen defaults on the loan. who will be held legally responsible by the finance company and why? select the best answer from the choices provided. a. barbara will be held legally responsible because she has a good credit history. b. jen will be held legally responsible because she drives the car. c. barbara will be held legally responsible because she is the co-signer. d. jen will be held legally responsible because she has a poor credit history. the answer is a

Diane’s bank is offering 5% interest, compounded monthly. if diane invests $10,500 and wants $20,000 when she withdrawals, how long should she keep her money in for? round to the nearest tenth of a year.