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find the area of the largest posible isosceles triangle with 2 sides equal to 6. thanks

A SHEET OF CARDBOARD 180 INCHES SQUARE IS USED to make an open box by cutting squares of equal size from the corners and folding up the sides, what size squares should be cut to obtain a box with the largest possible volume?

find the dimensions of the rectangular area of maximum area which can be laid out within a triangle of base 12 and altitude 4 if one side of the rectangle lies on the base of the triangle thanks

a college is planning to construct a new parking lot. the parking lot must be rectangular and enclose 6000 square meters of land. A fence will surround the parking lot, and another fence parallel to one of the sides will divide the parking lot into two se...

thanks

=(2)(cot(sin(theta)))(-csc^2(sin (theta)))(cos(theta)) = 2 cos(theta)(cot(sin(theta)))(csc^2(sin(theta))