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Consider the graph of the function f(x)=x²-x-56. (a) Find the equation of the secant line joining the points (-6, -14), and (8,0). (b) Use the Mean Value Theorem to determine a point c in the interval (-6, 8) such that the tangent line at c is parallel to the secant line. CH (c) Find the equation of the tangent line through c

Consider the graph of the function f(x)=x²-x-56. (a) Find the equation of the secant line joining the points (-6, -14), and (8,0). (b) Use the Mean Value Theorem to determine a point c in the interval (-6, 8) such that the tangent line at c is parallel to the secant line. CH (c) Find the equation of the tangent line through c

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 graph of the function f(x)=x²-x-56. (a) Find the equation of the secant line joining the points (-6, -14), and (8,0). (b) Use the Mean Value Theorem to determine a point c in the interval (-6, 8) such that the tangent line at c is parallel to the secant line. CH (c) Find the equation of the tangent line through c.
Transcribed Image Text:Consider the graph of the function f(x)=x²-x-56. (a) Find the equation of the secant line joining the points (-6, -14), and (8,0). (b) Use the Mean Value Theorem to determine a point c in the interval (-6, 8) such that the tangent line at c is parallel to the secant line. CH (c) Find the equation of the tangent line through c.
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