In the diagram to the right, you are given the graph of y = e¬3x/5 together with a rectangle having one vertex at (0,0) and a second vertex touching the curve where x = 1. 0.8- (a) Find the area of the rectangle shown in the diagram to the right, and compare it to the areas of two additional rectangles fitting the description above with x = 2 and x = 3. Make it clear which answers are which, and also sketch the rectangles 0.6f 0.4 with x = 2 and x = 3. 02 1 3 (b) Find the dimensions of the rectangle of maximum area that has one vertex at (0,0) and another vertex touching the curve. Also find the maximum area.

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. In the diagram to the right, you are given the graph of y = e¬3¤/5
together with a rectangle having one vertex at (0,0) and a second
vertex touching the curve where x = 1.
y
0.8
(a) Find the area of the rectangle shown in the diagram to the
right, and compare it to the areas of two additional rectangles
fitting the description above with x = 2 and x = 3. Make it
clear which answers are which, and also sketch the rectangles
0.6
0.4
with x = 2 and x = 3.
0.2
2
(b) Find the dimensions of the rectangle of maximum area that has one vertex at (0,0) and another vertex
touching the curve. Also find the maximum area.
Transcribed Image Text:8. In the diagram to the right, you are given the graph of y = e¬3¤/5 together with a rectangle having one vertex at (0,0) and a second vertex touching the curve where x = 1. y 0.8 (a) Find the area of the rectangle shown in the diagram to the right, and compare it to the areas of two additional rectangles fitting the description above with x = 2 and x = 3. Make it clear which answers are which, and also sketch the rectangles 0.6 0.4 with x = 2 and x = 3. 0.2 2 (b) Find the dimensions of the rectangle of maximum area that has one vertex at (0,0) and another vertex touching the curve. Also find the maximum area.
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