A rectangle has one side on the positive x-axis, one side on the positive y-axis, and its upper right-hand vertex on the curve y = e^-4x. What dimensions (LxH) give the rectangle its largest area and what is that area? :)
1/4 x 1/e with an area of 1/4e. Looks more like a calculus 1 homework problem than a cool riddle... :(
I might have made a mistake somewhere, but I got:
width = 1/4 => height = 1/e
width = x;
height = e-4x
area = x*e-4x
dA/dx = -4x*e-4x + e-4x = e-4x(-4x + 1)
e-4x(-4x + 1) = 0
(-4x + 1) = 0; e-4x != 0;
-4x = -1
x = 1/4
Quote from: Yoni on June 06, 2004, 11:46 AM
1/4 x 1/e with an area of 1/4e. Looks more like a calculus 1 homework problem than a cool riddle... :(
way to reply while i was trying to find a calculator to graph it to check my answer.
Quote from: Yoni on June 06, 2004, 11:46 AM
1/4 x 1/e with an area of 1/4e. Looks more like a calculus 1 homework problem than a cool riddle... :(
Yup, that it is, but I thought you may still get atleast a kick out of it. :)
Not cool enough to be kickworthy imo.