hw1-29 - x =-1. Guess the rate of change at x =-1. 1 Hints...

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Homework 1/29 1. Refer to Problem 1, Section 2.1 of your text. (a) Compute the rate of change of f on the intervals: i. [1 . 9 , 2] ii. [1 . 95 , 2] iii. [1 . 99 , 2] iv. [2 , 2 . 01] v. [2 , 2 . 05] vi. [2 , 2 . 1] (b) Arrange these into a table and then guess the rate of change of f at x = 2. 2. From Section 2.1, work Problems 7, 18, 19 (except part d). 3. Work Problem 17. In part (b) compute at least 4 average rates of change. Always use intervals with one end ±xed at 2002. 4. Repeat Problem 1. You choose the intervals, but all must have one end ±xed at
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Unformatted text preview: x =-1. Guess the rate of change at x =-1. 1 Hints and Answers 1. a) You can check all answers by plugging the free end into x 2 +2 x +4. (Bonus question: Why does this work?) b) 12 2. 18(a) Free end 1.2 1.1 1.01 1.001 1.001 1 Slope-5-4 . 4444-4 . 0404-4 . 0040-4 . 0004 ?? 18(b)-4 19(c) 1/2 3. (b) Free end 2000 2001 2002 2003 2004 Slope ($1000/yr) 28 35 ?? 49 56 (c) About $42,000 per year. 4. (a) Check your answers by plugging your free ends into x 2-x + 1 (b) 1 2...
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This note was uploaded on 10/12/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.

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hw1-29 - x =-1. Guess the rate of change at x =-1. 1 Hints...

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