1. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1x2. What are the dimensions of such a rectangle with the greatest possible area?

Width=?

Height=?

2. A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the box has the least possible surface area, find its dimensions.

Height = ? (Include units)

Length of Base =? (Include units)

3. Find the point on the line? 5 x + 7 y? 3 = 0 which is closest to the point (4, 4 )?