Optimization:
A rectangle is bounded by the x-axis and the semicircle y= (25-x^2)^1/2 . what length and width should the rectangle have so its area is a maximum?

Question

anonymous · Answer

$$y=\sqrt{25-x^2}$$ heres a better view of the equation

anonymous · Answer

see it from here|dw:1325549133517:dw|

jamesj · Answer

If you draw such a rectangle such that the base is from -x to x and the height is y, the area is
A = 2xy

Now substitute for y and you have a function A = f(x).  Use calculus now to find the maximum of f(x)

anonymous · Answer

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