1. Let flit) be a twice-differentiable function satisfying the following table of values. dr21012 f(:l:) l 6 2 2 8 f'(:l:) U 2 7 0 ET f"(;l:) 4 1 1 3 2 Let gm = flflxn. Lise the above table to answer the following questions. a] Based on the table above, what are the critical points of 5? hi Use the second derivative test to classify the critical points of 3 that Iyou found in part all as local minimafmaxima, 2. Find the point on the line if = 2x - 3 that is closest to the origin. 3. Consider the collection of rectangles with a vertex at [La] and the other lying on v = cat\" for some c 1: and 5 x E 1. Find the rectangle with the maximal area