Ch5-1WS - Mrs. Waldron Ch 5.1 BC Calculus Estimating Area...

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Mrs. Waldron BC Calculus Ch 5.1 Estimating Area with Finite Sums Ex 1: A bug begins to crawl up a vertical wire at time t = 0. The velocity v (in inches/sec) of the bug at time t (in seconds), for 0 t 8, is given by the function whose graph is shown below. (a) How far did the bug travel from t = 0 to t = 6? (b) What happened exactly at t = 6? (c) How far did the bug travel from t = 6 to t = 8? (d) What’s the significance of the fact that part of the graph lies above the x-axis and part lies below? (e) How far did the bug travel from t = 0 to t = 8? (f) What is the GEOMETRIC or VISUAL significance of this total distance? (g) Show how the units of time and velocity are put together so that you end up with the right units for all the HOW FAR questions.
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Ex 2: Suppose a car is moving with increasing velocity. We measure the car’s velocity every two seconds, and obtain the data in the table below: Time (sec) 0 2 4 6 8 10 Velocity (ft/sec) 20 30 38 44 48 50 a) Give a lower and upper estimate for how far the car has gone in the first two seconds. b)
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This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.

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Ch5-1WS - Mrs. Waldron Ch 5.1 BC Calculus Estimating Area...

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