# Homework 2 - Garcia, Ilse Homework 2 Due: Sep 4 2007, 3:00...

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Garcia, Ilse – Homework 2 – Due: Sep 4 2007, 3:00 am – Inst: Fonken 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – fnd all choices be±ore answering. The due time is Central time. Yes, Homework 1 is due AFTER Homework 2. 001 (part 1 o± 1) 10 points A car slows down and then stops ±or an extended time. Sketch a graph o± the position o± the car as a ±unction o± time. 1. time position correct 2. time position 3. time position 4. time position 5. time position 6. time position Explanation: When the position o± the car is plotted against time, the slope o± the graph indicates the speed o± the car, the greater the slope, the greater the speed, and the car is stationary when the slope is zero. Thus o± the graphs, only

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Garcia, Ilse – Homework 2 – Due: Sep 4 2007, 3:00 am – Inst: Fonken 2 time position has the given properties. Keywords: graphical interpretation speed, position v. time graph 002 (part 1 of 1) 10 points The point P (1 , 8 7 ) lies on the graph of the function f de±ned by f ( x ) = 8 x 4 + 3 x . By calculating the slope of the secant line P Q for the successive points Q ( x, f ( x )) with x = 1 . 1 , x = 1 . 01 , x = 1 . 001 , x = 1 . 0001 , and x = 0 . 9 , x = 0 . 99 , x = 0 . 999 , x = 0 . 9999 , estimate (to 3 decimal places) the slope of the tangent line to the graph of f at P . Correct answer: 0 . 653 . Explanation: The slope of the secant line P Q for general points P ( a, f ( a )) and Q ( b, f ( b )) on the graph of f is given by rise run = f ( b ) - f ( a ) b - a . For the given points
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## This note was uploaded on 02/22/2009 for the course M 58365 taught by Professor Gilbert during the Spring '08 term at University of Texas at Austin.

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Homework 2 - Garcia, Ilse Homework 2 Due: Sep 4 2007, 3:00...

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