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Unformatted text preview: Math 170-010 Homework 8/26 Fall 2011 Goals: Given a function f and a fixed input a : Use several secant slopes to guess tangent slope at a . Use rate of change on several intervals to guess rate of change at the point a . Use several average velocities to guess instantaneous velocity. Realize that these are all the same thing, called the derivative of f at a , and denoted f ( a ). Exercises: 1. Refer to Section 2.1 of the Online Textbook, Problem 1. Please note that this author uses the word chord where others would use secant line . Compute the secant slopes asked for in (a)-(d). Assemble these into a table and use it to guess f (12). 2. Refer to Section 2.1 of the Online Textbook, Problem 3. Compute the secant slopes asked for in (a)-(c). Assemble these into a table and use it to guess f (3). 3. Refer to Section 2.2 of the Online Textbook, Problem 1. (a) Compute the average velocities he asks for....
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