Answer Happy

Letter to a Friend 3. (a) The function а v=g(t) = 6t– tº, 1 st 55,

gives your seed (in miles/hour) at time t hours past noon as you drive along I- 95 in traffic. Set up a definite integral that gives the distance travelled during these four hours. Explain, like you did in part (a) of Letter 1, the logic behind the integral. As usual, include a graph to help with your explanation and in interpreting the distance as a signed area. Then compute the exact distance. Use the graph to check that the distance is reasonable. Explain. Finally, use summation notation to write a Riemann with 100 terms that approximates the distance. Use Wolfram Alpha to compute this approxima- tion. = (6) The function v=h(s) = 6s– $3,15s 55, expresses your speed (in miles/hour) in terms of the odometer reading (in miles) of a brand new car as you drive in traffic Set up a definite integral that gives the time it took to drive these four miles. Explain, like you did in part (a) of Letter 1, the logic behind the integral. Include a graph to help with your explanation and in intrepreting the time as a signed area. Use summation notation to write a Riemann with 100 terms that gives an upper bound for the time. Use Wolfram Alpha to compute this approximation. Use summation notation to write a Riemann with 100 terms that gives a lower bound for the time. Use Wolfram Alpha to compute this approximation. Finally, use the graph to check that your approximation is reasonable. Explain.