Problem B.5. Use the methods of the previous problem to find an asymptotic expansion for the integral of t²e=t, from x to x, when x > 1.

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.