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Unformatted text preview: white (taw933) HW02 benzvi (55600) 1 This printout should have 13 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table t (min) 5 10 15 20 25 30 V (gal) 614 436 239 144 22 show the volume, V ( t ), of water remaining in the tank (in gallons) after t minutes. If P is the point (15 , V (15)) on the graph of V as a function of time t , find the slope of the secant line PQ when Q = (25 , V (25)). 1. slope = 43 . 4 2. slope = 19 . 7 3. slope = 37 . 5 4. slope = 21 . 7 correct 5. slope = 9 . 5 Explanation: When P = (15 , V (15)) , Q = (25 , V (25)) the slope of the secant line PQ is given by rise run = V (25) V (15) 25 15 . From the table of values, therefore, we see that slope = 22 239 25 15 = 21 . 7 . 002 10.0 points The position of a car as a function of time is given by the values in table t (seconds) 1 2 3 4 5 s (feet) 14 22 28 46 58 Find the average velocity for the time period beginning when t = 2 and lasting 2 seconds. 1. average vel. = 12 feet/sec correct 2. average vel. = 16 feet/sec 3. average vel. = 15 feet/sec 4. average vel. = 14 feet/sec 5. average vel. = 13 feet/sec Explanation: Average velocity between times t = 2 and t = 2 + h is given by dist. travelled time taken = s (2 + h ) s (2) h . When h = 2, therefore, s (2 + 2) s (2) 2 = s (4) s (2) 2 = 46 22 2 . Consequently, over the time interval from t = 2 to t = 4 the car has average velocity = 12 ft/sec ....
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 Spring '08
 schultz
 Differential Calculus

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