Jessica S.

asked • 06/21/14

What are the dimensions of such a rectangle with the greatest possible area?

A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y=9-x2.

What are the dimensions of such a rectangle with the greatest possible area?
 
1.Width=
2.Height=

3 Answers By Expert Tutors

By:

Francisco E. answered • 06/21/14

Francisco; Civil Engineering, Math., Science, Spanish, Computers.

Francisco E.

With all the due respect the other answer is not correct because the two upper corners are way out of the Parabola and That is the constraint.
 
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06/21/14

Jessica S.

the width would be 6?
and the height would be 3.47?
the height seems to be incorrect
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06/21/14

Francisco E.

The opposite, the height will be 6 and the width will be 3.47, is clear in the answer because I wrote that y will be 6 and x will be 3.47. If you are judging the answers, please post yours to see what is the error. Thanks. 
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06/21/14

Peter H. answered • 06/22/14

Tutoring in Math, Science, and Computer Engineering

Jessica S.

your amazing thank you! the step by step solution helps me out a lot! thank you
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06/22/14

Francisco E.

Hi Peter
I had to begin working the math and some complicated operations with an Odner calculator and slide ruler, after the computer came and i adopted them as my tools, I did not continue with the old calculator and after this if you see i use a different tool to obtain the optimization but not to give me the target equation. Congratulations, you did it, everyone works with the tools that he knows and is able to handle.
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06/22/14

Parviz F. answered • 06/21/14

Mathematics professor at Community Colleges

Jessica S.

that is incorrect
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06/21/14

Parviz F.

X   intercepts are  X = -3, +3                      9
                                                                l
                                                                l
                                                   -3          0         3
                                                      l<--- --6-------->
You could see the dimensions of the rectangle.                   
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06/21/14

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