Using linear approximation, estimate δf for a change in x from x=a to x=b. use the estimate to approximate f(b), and find the error using the calculator. f(x)=√x, a=16, b=23.

(give your answer to four decimal places.)

δf=

f(b)=

(give your answer to six decimal places.)

error =

You just purchased two coins at a price of $670 each. because one of the coins is more collectible, you believe that its value will increase at a rate of 7.1 percent per year, while you believe the second coin will only increase at 6.5 percent per year. if you are correct, how much more will the first coin be worth in 15 years?