6. Consider the function g(x) = ex/2 - 3x. (a) Show that g(x) has at least one zero in the interval [0,2]. (b) Given that there is exactly one zero of g(x) in the interval [0, 2], use Newton's method starting with xo = 0 to estimate this zero (you need only calculate the iterates x] and X2). You should write down the iteration formula as part of your solution