. A function g is dened as (3:) _ 3:2 if m g 1 g _ k3: if :1: > 1 ' Is it possible to nd a value of the constant k that makes the function g(:c) continu ous at m = 1? For this value of k, at which points is the function g(ar:) differentiable? . Find the rst and second derivatives of the following functions = 1 +$e2$5 b) y = 61:25 C) y = 111(811133) ' 00y . A curve has parametric equations a: = sin(3t) and y = cos(t) where 15 takes all real values. d d2 (a) Find _y and _y in terms of t. dsc dsc2 (b) Find the equation of the tangent line at the point when t = 0. . Find and classify the critical points of a) f (3:) 27. = 5431:+:32 and b) 9(55) = 33:5 5:::3+ . A farmer wishes to fence off a rectangular region next to a straight wall. The side of the rectangle along the wall does not need any fence. If the area of the region is 200 m2, what is the shortest total length of fence that can be used