MA 125 Midterm: Cal_1_-_test_2 Fall 2015
Document Summary
Show all your work and justify your answer! No partial credit will be given for the answer only! All problems in part i are 10 points each: find the derivative of the function y = f (x) = cos(x3), find the derivative of f (x) = (x2 + x)8. 3: find two positive numbers so that their sum is 200 and their product is maximal. Part ii: [15 points] you work for a soup company. In order to maximize visibility of the product on the shelve your boss asks you to design a soup can of volume 1 dm3 and maximal surface area. Either specify the dimensions of such a can or show that such a can does not exist. You may use that the volume of a can of radius r and height h is v = r2h while the surface are of the side is 2 rh and of the top (and bottom) is r2.
