Given the curve whose equation is  Let P be the point (5,3). (a) Determine the slope of the secant line joining P to Q, if Q has as its x-coordinate: (i) 5.01 (ii) 5.001 (iii) 5.0001 (iv) 4.99 (v) 4.999 (vi) 4.9999. (b) What limiting value does the slope of the secant line appear to be approaching as Q approaches P?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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Given the curve whose equation is  Let P be the point (5,3). (a) Determine the slope of the secant line joining P to Q, if Q has as its x-coordinate: (i) 5.01 (ii) 5.001 (iii) 5.0001 (iv) 4.99 (v) 4.999 (vi) 4.9999. (b) What limiting value does the slope of the secant line appear to be approaching as Q approaches P?

 

 

 

 

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