Answer the questions in the spaces provided on the question sheets. All work and justi cations so you can receive partial credit. March 31, 2016: find the following derivatives: (a) (5 points) 2csc x (b) (5 points) 1+tan x sin 1 x (c) (5 points) ln | cos3 x| (d) (5 points) (sec 1 x)(1 + ex. March 31, 2016: let f (x) = x. March 31, 2016 (d) (5 points) find all points of in ection of f . (e) (10 points) graph f . March 31, 2016: (10 points) find the shortest distance from the point (5, 0) to the curve 2y2 = x3. March 31, 2016: (10 points) a box is going to be made by cutting out equal sized squares from each corner of a square sheet of cardboard. The box needs to have a volume of exactly 25 cubic inches. We"re also going to paint the sides of the box with two di erent colors.
