College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 96E
Related questions
Question
A rectangle has its base on the x−axis and its upper vertices on the parabola y = 9−x^2. Find the maximum possible area of the rectangle.
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Step 1: Define the problem
VIEWStep 2: Draw the possible figure
VIEWStep 3: Calculate the area of rectangle in terms of x
VIEWStep 4: Calculate the derivative of A(x)
VIEWStep 5: Calculate the critical values
VIEWStep 6: Calculate second derivative of A(x)
VIEWStep 7: Calculate the maximum area of rectangle
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