(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.
(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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
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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