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A rectangle is inscribed in the parabola y x 3 as shown with its base...

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A rectangle is inscribed in the parabola y x 3 as shown with its base on the x axis L 3 A x 2 4F Write the area A of the rectangle as a function of x A x 19 X Open A x 1 x y 4H y 2 Find the domain of the function Enter your answer using interval notation 0 00 x Tutorial 2 Find the objective function for the given calculus problem Give the domain of the objective function but do not actually attempt to solve the problem Domain Enter your answer using interval notation X 1 An open rectangular box is to be constructed with a square base and a volume of 96 000 cm See the figure below cm 2 3 a Find the dimensions of the open box that require the least amount of material Let A represent the surface area of the open box Enter your answer in terms of x 384000 X cm X b If the rectangular box in part a is closed find the dimensions that require the least amount of material Let A represent the surface area of the closed box terms of x 2x 384000 1 UN DEF 0 0 DINE

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