Thursday

August 21, 2014

August 21, 2014

Posted by **danny** on Thursday, September 27, 2012 at 11:36pm.

- college algebra -
**Steve**, Friday, September 28, 2012 at 11:18amv = x(20-2x)^2

using what you know about the shape of cubic curves, clearly there is a maximum volume for 0 <= x <= 10 (this is also the domain of v)

Naturally, volume is zero when x=0 and when x=10.

A little checking of values will show that v(x) is max when x = 10/3.

**Related Questions**

Calculus - A box with an open top is to be made from a square piece of cardboard...

college algebra word problem - An open box is made from a square piece of ...

calculus - An Open Box Of Maximum Volume Is To Be Made From A Square Piece Of ...

Math - A cardboard manufacturer wishes to make open boxes from square pieces of ...

Math - An open box is to be made from a 11 inch by 11 inch piece of cardboad. ...

Calculus - an open box is made by cutting out squares from the corners of a ...

calculus - An open box is to be made from a square piece of cardboard, 32 inches...

calculus - An open box of maximum volume is to be made from a square piece of ...

MATH - An open box with a square base is to be made from a square piece of ...

Algebra - A box with no top is to be constructed from a piece of cardboard ...