1. Solve the problem of nding the largest rectangle that can be inscribed in a circle of radius 4 in the following two ways: (a) Use Calculus I methods. In other words, write down an equation that you want to maxi- mize in terms of :r and y, and use the fact that (12:, y) satises 3:2 +y2 = 1 to get a function of a single variable over a closed interval. Use the extreme value theorem to determine the maximum value of the function