(x)=3x-2√x I the equation of the secant line through the points (4,f(4)) and (9, f(9)). w that there is only one number c in the interval (4,9) that satisfies the on of the Mean-Value Theorem for the secant line in part (a). the equation of the tangent line to the graph of fat the point (c, ƒ (c)). a graphing utility to graph the secant line in part (a), and the tangent line in n the same coordinate system, and confirm that the two lines are parallel.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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8) Let f(x)=3x-2√√x
(a) Find the equation of the secant line through the points (4,f(4)) and (9, ƒ(9)).
(b) Show that there is only one number c in the interval (4,9) that satisfies the
conclusion of the Mean-Value Theorem for the secant line in part (a).
(e) Find the equation of the tangent line to the graph of fat the point (c, ƒ (c)).
(d) Use a graphing utility to graph the secant line in part (a), and the tangent line in
part (c) in the same coordinate system, and confirm that the two lines are parallel.
Transcribed Image Text:8) Let f(x)=3x-2√√x (a) Find the equation of the secant line through the points (4,f(4)) and (9, ƒ(9)). (b) Show that there is only one number c in the interval (4,9) that satisfies the conclusion of the Mean-Value Theorem for the secant line in part (a). (e) Find the equation of the tangent line to the graph of fat the point (c, ƒ (c)). (d) Use a graphing utility to graph the secant line in part (a), and the tangent line in part (c) in the same coordinate system, and confirm that the two lines are parallel.
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