Calculus Revision - obiahu (vo879) – Rev01 – Schultz...

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Unformatted text preview: obiahu (vo879) – Rev01 – Schultz – (56395) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A tank holds 100 gallons of water, which drains from the bottom of the tank in 10 minutes. The values in the table t (min) 2 4 6 8 10 V (gal) 100 75 39 15 8 show the volume, V ( t ), of water remaining in the tank (in gallons) after t minutes. If P is the point (2 , V (2)) on the graph of V as a function of time t , find the slope of the secant line PQ when Q = (6 , V (6)). 1. slope = 14 2. slope = − 15 3. slope = 13 4. slope = − 13 5. slope = 15 6. slope = − 14 7. slope = − 17 8. slope = 17 002 10.0 points When a ball is thrown vertically upward on the moon with a velocity of 15 ft/sec its height, y ( t ), in feet after t seconds is given by y ( t ) = 15 t − 3 t 2 . Find the average velocity of the ball over the interval from 2 to 2 + h seconds, h negationslash = 0. 1. avg vel. = − (3 + 3 h ) ft/sec 2. avg vel. = (6 h − 6) ft/sec 3. avg vel. = (6 − 3 h ) ft/sec 4. avg vel. = (6 h − 3) ft/sec 5. avg vel. = − (6 + 6 h ) ft/sec 6. avg vel. = (3 − 3 h ) ft/sec 003 10.0 points Find an equation for the tangent line to the graph of g at the point P (1 , g (1)) when g ( x ) = 3 − 2 x 3 ....
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This note was uploaded on 09/06/2010 for the course M 32795 taught by Professor Schultz during the Spring '10 term at University of Texas at Austin.

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Calculus Revision - obiahu (vo879) – Rev01 – Schultz...

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