So the answer is 400 yards of fence?
please answer yes or no, I need to know if this is the right answer
So the answer is 400 yards of fence?
please answer yes or no, I need to know if this is the right answer
I meant to say 400 ft squared
400ft, not squared
a very pedantic point but x^2=+/-100, however the -100 solution is of course incorrect
Mathematically speaking, you're correct that x=+/-100. I've always felt, though, that omitting the negative answer is permissible in a practical applications problem, where the negative answer is clearly not in the domain.
XCmiler, if you can't figure out how much fence you need from my post, you're sunk. Good luck mustering a two on the AP exam.
as abacus stated, the domain is [0, inf) so the negative root is not allowed.
It can also be shown that if the wall is "short", that is, less than 100*root(2) feet, then a square is optimal. Obviously, if the wall is "long", that is, more than 200 feet, then x=100 feet, y=200 feet is the answer.
With some more work, it can be proven that in the middle, that is, if the wall is between 100*root(2) and 200 feet, making the fence exactly as long as the wall is indeed optimal.
Probably more than is required of this problem.
abacus wrote:
Mathematically speaking, you're correct that x=+/-100. I've always felt, though, that omitting the negative answer is permissible in a practical applications problem, where the negative answer is clearly not in the domain.
XCmiler, if you can't figure out how much fence you need from my post, you're sunk. Good luck mustering a two on the AP exam.
No, I'm pretty good at all the other calculus problems where I just go through the motions, for me its word problems I've always had issues with
step 1) buy a calculusator
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