Well, back with some more. I'm just not understanding them; I don't get very far with them. Currently, I have 2 I do not understand.

1) A rectangle is to be inscribed under the arch of the curve y=4 cos (.5X) from X= -Pi to Pi. What are the dimensions of the rectangle with the largest area, and what is the actual largest area?

2) A window is in the form of a rectangle surmounted by a semi-circle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only half as much light per unit area as the clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame

Any help is appreciated; I'm just not understanding how to do these