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Consider the graph of y 2Vx between x 0 to x 9 and the graph of the vertical line x= 9 as shown below. A region is bounded above by the curve y = 2 x, below by the x axis and on the right by the vertical line x = 9. Your task is to find a formula, in terms of x, which gives the area of a rectangle which will fit in the region so that one side is on the x-axis, one side is on the vertical line x = 9, and one corner is on the graph of y = 2V as shown in the diagram below.

Consider the graph of y 2Vx between x 0 to x 9 and the graph of the vertical line x= 9 as shown below. A region is bounded above by the curve y = 2 x, below by the x axis and on the right by the vertical line x = 9. Your task is to find a formula, in terms of x, which gives the area of a rectangle which will fit in the region so that one side is on the x-axis, one side is on the vertical line x = 9, and one corner is on the graph of y = 2V as shown in the diagram below.

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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Consider the graph of y 2 x between x 0 to x = 9 and the graph of the vertical line x = 9 as shown below. A region is bounded above by the curve y = 2Vx , below by the x axis and on the right by the vertical line x = 9. Your task is to find a formula, in terms of x, which gives the area of a rectangle which will fit in the region so that one side is on the x-axis, one side is on the vertical line x = 9, and one corner is on the graph of y = 2Vx as shown in the diagram below. y= 2Vx
Transcribed Image Text:Consider the graph of y 2 x between x 0 to x = 9 and the graph of the vertical line x = 9 as shown below. A region is bounded above by the curve y = 2Vx , below by the x axis and on the right by the vertical line x = 9. Your task is to find a formula, in terms of x, which gives the area of a rectangle which will fit in the region so that one side is on the x-axis, one side is on the vertical line x = 9, and one corner is on the graph of y = 2Vx as shown in the diagram below. y= 2Vx
Find a formula 'A(x), for the area of the rectangle. O A (x) = 2/x (9 – x) O A (x) = 2x (x +9) %3D O A (x) = 2x/x %3D O A (x) = 2x (x - 9) %3D
Transcribed Image Text:Find a formula 'A(x), for the area of the rectangle. O A (x) = 2/x (9 – x) O A (x) = 2x (x +9) %3D O A (x) = 2x/x %3D O A (x) = 2x (x - 9) %3D
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