Unformatted text preview: 5 10 15 20 v (m/s) 8.1 6.8 5.7 5.1 4.9 (a) Graph the velocity data on the graph paper provided below. (Label your graph properly!) (b) Estimate the total change in the object’s position on the time interval 0 ≤ t ≤ 20 seconds. (c) Shade an area in your graph that matches your computation. 6. The graph of a function f is shown at right. If g ( x ) = i x f ( t ) dt , compute the following: (a) g (2) (b) g (0) (c) g (4) (d) g ′ (2) 2 2 4 6 f(t) t 7. Find I π/ 2 ( t + 4 t 2sin t ) dt 8. The rate of change of a certain quantity is given by f ( t ) = 3 t + 2 /t . If the quantity is 15 at time t = 10, what is the quantity at time t = 20? 1...
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 Spring '08
 STAFF
 Calculus, Derivative, 20 seconds, Convex function, 5 seconds, exact intervals

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