Jack is riding his bicycle from home to LeConte College with a velocity given by v(t)=...

Jack is riding his bicycle from home to LeConte College with a velocity given by v(t)= -t^4 + 4-t^3 - 500t^2 +2000t in feet away from his house per minute and where t is in minutes. If it takes jack 20 minutes to get to LeConte College, find the following:

a.) Estimation of S (integral) upper 20, lower 0: v(t)dt using left-hand sums with n=2 subdivisions. Why is this a bad estimate?

b.)Estimation of S (integral) upper 20, lower 0, v(t)dt using right hand sums with n=5 subdivisions. What does this number represent an estimate of?

c.) Find the exact distance Jack traveled by integration (assume jack is 0 feet from his house at time = 0)(include units).

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Expert Solution

milcah answered 1 year ago

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