## (solution) 13. Suppose V represents the value of a bond and T represent

13. Suppose V represents the value of a bond and T represent time. What is the meaning of the derivative of V with respect to T? Would you expect this rate to be positive,negative, or zero?
M157 HW 5 8D Day 2 Slope and Marginal Rates #13 ? If you?re not sure what a bond is, read up about them here http://guides.wsj.com/personal-finance/investing/what-is-a-bond/

# 14 ? Assume that you have this loan and that you are paying it off.

#17 and #20 sketch a graph of a scenario you make up and use that graph to discuss the derivative.

#21 ? just be careful to read the last two sentences carefully. One says the derivative of v with h and the other says the

derivative of h with v. When you see ?derivative of v with h? this means the rate of change of volume as the height of

the waterline changes.

#22 ? Be sure to carefully label the graph

#23 through #26 ? Recall that the marginal cost is the cost of producing the next item. Similarly the marginal revenue is

the money earned from selling the next item. ?For the marginal unit of production? just refers to the next item or items

depending on the units of production.

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