What are the dimensions of such a rectangle with the greatest possible area?
2010-04-23 5:38 am
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=1-x^2.
回答 (1)
2010-04-24 3:27 am
✔ 最佳答案
A=2xyy=1-x^2.
A=2x(1-x^2.)
=2x-2x^3 0<=x<=1
A'=2-6x^2
0=2-6x^2
6x^2=2
x^2=1/3
x=√3/3
A=2(√3/3)(2/3)
A=(4√3)/9 max area
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