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A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1. If (x,y) is a vertex of the rectangle in the first quadrant, what is y in terms of x?   y = square root of ?-4x^2   What is the area of the rectangle in terms of x? A(x) = ? square root of ? -4x^2   What value for x maximizes the area? x= ?/ square root of 2   What is the maximum area? maximum area =?

A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1. If (x,y) is a vertex of the rectangle in the first quadrant, what is y in terms of x?   y = square root of ?-4x^2   What is the area of the rectangle in terms of x? A(x) = ? square root of ? -4x^2   What value for x maximizes the area? x= ?/ square root of 2   What is the maximum area? maximum area =?

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1.
If (x,y) is a vertex of the rectangle in the first quadrant, what is y in terms of x?
 
y = square root of ?-4x^2
 
What is the area of the rectangle in terms of x?
A(x) = ? square root of ? -4x^2
 
What value for x maximizes the area?
x= ?/ square root of 2
 
What is the maximum area?
maximum area =? 
 
 
A rectangle is inscribed in an ellipse given by the equation + 49 196 x² y² If (x, y) is a vertex of the rectangle in the first quadrant, what is y in terms of x? W y = √ Ex: -4x² What is the area of the rectangle in terms of x? A(x) = Ex: 2x v -4x² What value for a maximizes the area? x = 1. √2 What is the maximum area? maximum area
Transcribed Image Text:A rectangle is inscribed in an ellipse given by the equation + 49 196 x² y² If (x, y) is a vertex of the rectangle in the first quadrant, what is y in terms of x? W y = √ Ex: -4x² What is the area of the rectangle in terms of x? A(x) = Ex: 2x v -4x² What value for a maximizes the area? x = 1. √2 What is the maximum area? maximum area
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