2. Suppose you need a quick numerical approximation of \\5/ 33 that you can compute by hand. Decide whether each of the following strategies is sensible; if not, explain Why not. (a) Find the degree 1 Taylor polynomial approximation (in other words, the linear approximation) for W centered at :r : 32, and evaluate it at :1: : 33. (b) Find the degree 1 Taylor polynomial approximation for {75 centered at a: = 33, and evaluate it at a: = 33. (c) Find the degree 1 Taylor polynomial approximation for {75 centered at :1: = 2 (since 2 is the integer closest to \\5/ 33); then, evaluate the approximation at a: = 33. (d) Find the degree 1 Taylor polynomial approximation for {5/32 + 32 centered at :1: : 0, and evaluate it at :1: = 1. (e) Find the degree 1 Taylor polynomial approximation for \\5/3: + 32 centered at 3: = 0, and evaluate it at :1: = 33. (f) Find the degree 1 Taylor polynomial approximation for {5/5 centered at :1: = 32, and evaluate it at a: : 1. Hint: Two of the strategies are good; the rest are bad