the problem is, A rain gutter is to be made from a metal sheet of width 36cm by bending up 1/4th of the sheet on both sides through angle theta. how should theta be chosen so that the gutter can carry the maximum amount of water?
I'm having trouble getting an equation for this problem any ideas?
after doing the quadratic i got, (-1+/-sqrt(12cos^2(theta))/2
i'm not 100% sure how to put cos^2 x into the calculator i did (cos(x))^2
anyway i tried to do the first derivative test on the the exact answer of the quadratic and got two positives so i messed up somewhere