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CalculusQ&A LibraryFind the average rate of change of the function over the given interval.f(t) = 2t2 - 3,[3, 3.1]Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.left endpointright endpointNeed Help?Master ItTalk to a TutorRead ItLarCalc11 2.2.095.A silver dollar is dropped from the top of a building that is 1329 feet tall. Use the position function below for free-falling objects.s(t) = -16t2 + vot + so(a) Determine the position and velocity functions for the coin.s(t) =v(t) =(b) Determine the average velocity on the interval [3, 4].ft/s(c) Find the instantaneous velocities when t = 3 seconds and t = 4 seconds.v(3) =ft/sv(4) =ft/s(d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.)(e) Find the velocity of the coin at impact. (Round your answer to three decimal places.)ft/s Use the rules of differentiationto find the derivative of the function.6+ 7 sin(x)(3x)3У'%3Question

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