2. This is the graph of f(x) 8 100 ma 6 = 1959 x+6 x-6. |||||> -8-7-6-5-4-3 1+1 2 3 4 5 6 7 8 a. Find the slope of the secant line through (6, 3) and (2.5, 17). | b. From the graph, how do you know there are two points on the graph of f(x) where the slope of the tangent lines at these points is equal to the slope of the secant line in part a? c. What relationship is there between the secant line and the tangent lines since the slopes are equal? d. Find the x coordinates of the two points of tangency. e. Find the equations of the tangent lines using the slope you found in part a.
2. This is the graph of f(x) 8 100 ma 6 = 1959 x+6 x-6. |||||> -8-7-6-5-4-3 1+1 2 3 4 5 6 7 8 a. Find the slope of the secant line through (6, 3) and (2.5, 17). | b. From the graph, how do you know there are two points on the graph of f(x) where the slope of the tangent lines at these points is equal to the slope of the secant line in part a? c. What relationship is there between the secant line and the tangent lines since the slopes are equal? d. Find the x coordinates of the two points of tangency. e. Find the equations of the tangent lines using the slope you found in part a.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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