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3. Consider the function f(x) = e" on (0, 2), and a point a e (0, 2]. Consider the triangle formed by the tangent line to f at a, and the lines a 0 and y = 0. Find the point a such that the triangle has largest possible area, and justify that the area has been maximized. %3D

3. Consider the function f(x) = e" on (0, 2), and a point a e (0, 2]. Consider the triangle formed by the tangent line to f at a, and the lines a 0 and y = 0. Find the point a such that the triangle has largest possible area, and justify that the area has been maximized. %3D

Calculus: Early Transcendentals
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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3. Consider the function f(x) = e" on (0, 2], and a point a e (0, 2]. Consider the triangle formed by the tangent line to f at a, and the lines a 0 and y = 0. Find the point a such that the triangle has largest possible area, and justify that the area has been maximized.
Transcribed Image Text:3. Consider the function f(x) = e" on (0, 2], and a point a e (0, 2]. Consider the triangle formed by the tangent line to f at a, and the lines a 0 and y = 0. Find the point a such that the triangle has largest possible area, and justify that the area has been maximized.
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