question archive A rectangular storage container with an open top is to have a volume of 10 m3

A rectangular storage container with an open top is to have a volume of 10 m3

Subject:MathPrice: Bought3

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.) $ 259.599 X Please try again, keeping in mind that the volume of an open box with height h and a rectangular base whose length is twice its width w is V = 2w2h, and the cost function of its surface is C = c1(2w2) + c2[2(wh) + 2(2wh)], where c1 A????1s the cost for the base and c2 is the cost for the sides. Find a relationship between w and h, using the fact that the volume is a constant. Rewrite the cost function as a function of one variable. Use calculus to find the minimum possible cost. A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is 30 ft, find the dimensions of the window so that the greatest possible amount of light is admitted. width of the rectangle 8.4 ft height of the rectangle 4.2 ft

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