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More Calculus Fun
Ok here are some more for you guys. If you don't mind it would be cool if you could just give the answer and show how you got it instead of trying to "lead" me . Thanks again guys...
Optimization Problems (The prof and the book showed nowhere near enough examples of these problems)
1) If 1200 cm^2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
I know the volume of an open box is (l-2x)(w-2x)(x). I just don't know what to do with the 1200 cm^2
2) Find the point on the line y = 4x + 7 that is closest to the origin.
3) Find the area of the largest rectangle that can be inscribed in the ellipse (x^2/a^2) + (y^2/b^2) = 1.
In this one I know you solve for either x or y and then substitute in the area of a rectangle formula which is length x width (or a = x*y). So after this you take the derivative and then what?
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