HW02-solutions - amaefule (bca357) HW02 Gilbert (57195)...

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1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – Fnd 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) 740 447 287 119 24 0 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 , Fnd the slope of the secant line PQ when Q = (25 , V (25)). 1. slope = 16 2. slope = 45 . 3 3. slope = 52 . 6 4. slope = 26 . 3 correct 5. slope = 16 . 8 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 . ±rom the table of values, therefore, we see that slope = 24 287 25 15 = 26 . 3 . 002 10.0 points The position of a car as a function of time is given by the values in table t (seconds) 0 1 2 3 4 5 s (feet) 0 20 28 36 50 62 ±ind the average velocity for the time period beginning when t = 3 and lasting 2 seconds. 1. average vel. = 14 feet/sec 2. average vel. = 12 feet/sec 3. average vel. = 13 feet/sec correct 4. average vel. = 16 feet/sec 5. average vel. = 15 feet/sec Explanation: Average velocity between times t = 3 and t = 3 + h is given by dist. travelled time taken = s (3 + h ) s (3) h . When h = 2, therefore, s (3 + 2) s (3) 2 = s (5) s (3) 2 = 62 36 2 . Consequently, over the time interval from t = 3 to t = 5 the car has average velocity = 13 ft/sec . 003
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HW02-solutions - amaefule (bca357) HW02 Gilbert (57195)...

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