a The average rate of change of a function f between x a and

2 Consider the function f x y y x 16 i Determine an equation for the tangent plane to the surface z f x y at input 3 2 ii Use part i to estimate the number 1 98 3 3 01 2 16 by hand For fun ask a machine what this number comes out to and compare to your estimate are you close

1 Find c 0 such that the area of the region enclosed by the parabolas y x c and y c x is 90

A factory selling cell phones has a marginal cost function C x 0 01x 3x 229 where represents the number of cell phones and a marginal revenue function given by R x 429 2x Find the area between the graphs of these curves and x 0 What does this area represent total profit for 200 cell phones sold total profit for more than 200 cell phones sold total revenue for 200 cell phones sold for 200 cell phones cold

Sketch the region enclosed by y 5x y 7x and x 1 Find the area of the e region

Exercise 5 13pt Find the maximal domain and all the asymptotes of the following function 2x 7 a f z 3 b f x 1612 9

Ed Sloan bought a new Explorer for 22 000 He put down 7 000 and paid 290 for 60 months The total finance charge to Ed is 15 000 17 400 2 400 4 200 None of these

A 7 000 4 120 day note dated March 20 is discounted on July 15 Assuming a 3 discount rate the bank discount is 1 74 1 77 7 11 17 68 None of these

A 25 000 15 80 day note dated November 5 is discounted at National Bank on January 5 The discount period is 80 days 19 days 61 days 91 days None of these

Solve for t K 5 3 3 t for t 0

Cooper Corporation must evaluate two capital expenditure proposals Cooper s hurdle rate is 10 Data for the proposals follow Required investment Annual after tax cash inflows After tax cash inflows at the end of years 3 6 9 and 12 Life of project Proposal X Proposal Y 120 000 120 000 24 000 72 000 12 years 12 years What is the cash payback period for Proposal X For Proposal Y Hint For Proposal Y in what year 3 6 9 or 12 will the full original investment be recovered Round Proposal X answer to one decimal place if applicable Proposal X 0 years Proposal Y