Pls show work

1. * ' Find the respective linear functions approximating f below for the choice of a = 3. Answers will be graded on a correct/incorrect basis only, in particular, no work needs to be shown. (a) 9 x) : so? (b) t fee) = 1-4 (c) 0 no : i (d) No) = 2 + 7 (e) Mo 2 sum g) (f) 0 no = tan 8. * Consider f(.:r) : 2:1;2 8.71-1 7. (a) Find the critical point e of f and compute f(c). (b) Find the extreme values of f on [0, 5]. (c) Find the extreme values of f on [4, 1]. Some ofthe following optionalproblems require the use ofa calculator. 13. * '(Only the rst and third should be submitted for a grade.) Find the critical points and the intervals on which the function is increasing or decreasing. Use the First Derivative Test to determine Whether the critical point yields a local min or max (or neither). (a) *.y: :1:2+7:1: 17 (b) y : 11:3 12.1:2 (C) * i y : :I:21+1