You can use a calculator for these questions. Show your calculations. (a) Approximate the root of g(x) = 2 + x e^x between 1 and 2 to within 0.05 of the exact value using the bisection method. (b) There are 21 roots of the function f(x) = cos x on the interval [0, 65]. To which root will the bisection method converge, starting with a = 0 and b = 65?