Question 5 {0.5 points} In the graph below, a rectangle is inscribed with its base on the x-axis and its upper 2 corners on the ellipse 12 + y? = 1 . [a] Find the dimensions of such a rectangle with the greatest possible area. [bi Show that the dimensions you found produce a local maximum for the area using the first or the second derivative test. You do not need to argue that your answer is a global maximum. {c} What is the resulting maximum area? Enter the maximum area in the blank below. Round your answer to two decimal places. 3.5 3 2.5 2 1.5 'I I15; I 5.:- ql 43.3 416 414 412 D ll? Q4 [LE 0.3 1 I Your