Jack is riding his bicycle from home to LeConte College with avelocity given by v(t)= -t^4 + 4-t^3 - 500t^2 +2000t in feet awayfrom his house per minute and where t is in minutes. If it takesjack 20 minutes to get to LeConte College, find the following:
a.) Estimation of S (integral) upper 20, lower 0: v(t)dt usingleft-hand sums with n=2 subdivisions. Why is this a badestimate?
b.)Estimation of S (integral) upper 20, lower 0, v(t)dt usingright hand sums with n=5 subdivisions. What does this numberrepresent an estimate of?
c.) Find the exact distance Jack traveled by integration (assumejack is 0 feet from his house at time = 0)(include units).
