Consider the function f (x) = 3 sin (0.6x 2). (a) Approximate the zero of the

Question:

Consider the function f (x) = 3 sin (0.6x − 2).
(a) Approximate the zero of the function in the interval [0, 6].
(b) A quadratic approximation agreeing with f at x = 5 is g (x) = -0.45x2 + 5.52x - 13.70. Use a graphing utility to graph f and g in the same viewing window. Describe the result.
(c) Use the Quadratic Formula to find the zeros of g. compare the zero of g in the interval [0, 6] with the result of part (a).