MA 125 Final: Cal_1___Final
Document Summary
Part i consists of 10 questions, each worth 5 points. You must also show all your work for each of the problems listed. In 1-4, nd y if: (1) y = x5 sin(x) (2) y = x. 1 (4) y = ln(x5 + x) (5) find the critical numbers of y = f (x) = (x 1)3(x + 1)3. (6) find all local/absolute maxima/minima of the function. Make sure to state both x and y values. y = x6 (7) find all asymptotes of the function y = x. 2+4 x3 x (8) find all x-values where y = xex is increasing. (9) suppose one side of a rectangle is increasing at a rate of 3 m/s while the second side is decreasing at a rate of 2 m/s. Find the rate of change of the area of the rectangle when the rst side is.
