Question

1- An open box with a square base is to have a volume of 10 ft3....

1- An open box with a square base is to have a volume of 10 ft3.

(a) Find a function that models the surface area A of the box in terms of the length of one side of the base x.

(b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.)

2- Find the dimensions that give the largest area for the rectangle. Its base is on the x-axis and its other two vertices are above the x-axis, lying on the parabola

y = k − x2, k = 7.

(Round your answers to two decimal places.)

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