...I am stuck. I am working on some math homework and one of the problems is this:
Norman window has 48ft perimeter. Objective: determine the dimensions, h and r, that will allow the max amount of light to enter the window.
a) express the outer perimeter of the window in terms of r and h:
so far I have
nothing ... you've answered part (a)
b)using a value of 48 feet for the outer perimeter, determine h in terms of r:
solve for h in the equation you found in part (a)
c)express the total area of the window, A, in terms of h and r:
A = 2rh + (pi r^2)/2
d)express the total area of the window, A, in terms of r only and simplify. (should be a quadratic function)
substitute what you found for h in part (b) into the area equation.
e) determine exact value of r that maximizes window:
find the vertex of the quadratic function