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Consider the function shown in the figure below. yo 41 92 93 44 95 96 20 к1 к2 x3 x4 x5 x6 (a) Write an expression involving the values of a and y=f(a) marked on the graph that gives the slope of the line joining the endpoints of the graph. slope (b) On a print-out of this problem, draw the tangent line to the curve at the point (a:4, 4). How does the slope of this line compare with that of your line in (a)? slope of this tangent line ? slope of line from (a) (c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b).

Consider the function shown in the figure below. yo 41 92 93 44 95 96 20 к1 к2 x3 x4 x5 x6 (a) Write an expression involving the values of a and y=f(a) marked on the graph that gives the slope of the line joining the endpoints of the graph. slope (b) On a print-out of this problem, draw the tangent line to the curve at the point (a:4, 4). How does the slope of this line compare with that of your line in (a)? slope of this tangent line ? slope of line from (a) (c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b).

Advanced Engineering Mathematics
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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Consider the function shown in the figure below. ye y1 5 55% € 92 93 95 y6 xB x1 x2 x3 x4 x5 x6 (a) Write an expression involving the values of ax and y = f(x) marked on the graph that gives the slope of the line joining the endpoints of the graph. slope= (b) On a print-out of this problem, draw the tangent line to the curve at the point (a:4, y4). How does the slope of this line compare with that of your line in (a)? slope of this tangent line ? slope of line from (a) (c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b). HI
Transcribed Image Text:Consider the function shown in the figure below. ye y1 5 55% € 92 93 95 y6 xB x1 x2 x3 x4 x5 x6 (a) Write an expression involving the values of ax and y = f(x) marked on the graph that gives the slope of the line joining the endpoints of the graph. slope= (b) On a print-out of this problem, draw the tangent line to the curve at the point (a:4, y4). How does the slope of this line compare with that of your line in (a)? slope of this tangent line ? slope of line from (a) (c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b). HI
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