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ap calculus help please?!?
a rectangular plot of farmland will be bounded on one side by a river and on the other 3 sides by a single strand of electric fence, with 800m of wire, whats the largest area you can enclose and what are the dimensions
1 Answer
- Anonymous8 years agoFavorite Answer
If x is the side perpendicular to the river, then the others sides are 800-2x and x; the 3 sides add up to the 800 m of wire you have.
The area is f(x) = 800x - 2x^2
Take the derivative
f ' (x) = 800 - 4x
Solve for 0
800 - 4x = 0
800 = 4x
x = 200
The dimensions are 200x200x400
The area is 80000.