MCVAU Chapter 5 Exponential and Trigonometric Functions Name: 1. Differentiate the following. [3,2,2,3,3] a) y = x32x b) y =5xx c) y = 120#-4x d) y = 8sin4x e) y = 5cos*(3x2+ 7) f) y = sin[cos(6x7)] 2. Determine the absolute maximum and minimum values of the function f (x) = xe"2* on the interval 1sxs2. [6]3. Given f(x) = xcosx, determine f/().[3] 4. An irrigation channel is constructed by bending a sheet of metal that is 3 m wide, as shown in the diagram. What angle 0 will maximize the cross-sectional area (and thus the capacity) of the channel? 1 m 1 m D 1 m