Question

Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need Help? Read It Master It Talk to a Tutor Consider the following function gtx) x3-4 Find its average rate of change over the interval -2, 21. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval. g-2) g (2) Need Help? Read It Watch It Talk to a Tutor The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building is given by s-162+595. (a) Find the average velocity on the interval [3, 5] ft/s (b) Find the instantaneous velocities when t 3 and when t 5. ft/s s'(3) s'(5) ft/s (c) How long will it take the dollar to hit the ground? (Round your answer to two decimal places.) (d) Find the velocity of the dollar when it hits the ground. (Round your answer to one decimal place.) ft/s Need Help? Read It Watch It Talk to a Tutor Find the marginal cost for producing x units. (The cost is measured in dollars.) C 280,000 9600x dc dollars per unit dx Need Help? Talk to a Tutor Read It Watch It Find the marginal revenue for producing x units. (The revenue is measured in dollars.) R 56x x2 dR dollars per unit dx Need Help? Read It Watch It Talk to a Tutor

Answer 1

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