A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 12m of framing materials what must the dimensions of the window be to let in the most ligh?

differentiate

A rectangular piece of paper is 12 inches high and 6 inches wide. the lower right-hand corner is folded over so as to reach the leftmost edge of the paper. find the minimum length of the resulting crease.

Construct a window in the shape of a semi-circle over a rectangle. If the distance around the outside of the window is 12 feet, what dimensions will result in the rectangle having largest possible area ?

DERIVATIVE

Find the derivative of y = 3 sin³ (2x⁴ + 1)

A rectangular pen will be built using 100 feet of fencing. What dimensions will maximize the area?

g(x)=x csc x/3-csc x