Answer the following by hand, i.e. without a computer. 1. Approximate the root of f(x) = x - 3, starting with the interval [1, 2], with maximum relative error & = 0.1. 2. Approximate the root of f(x) = x - 10, starting with the interval [3, 4], with maximum relative error = 0.1. 3. Apply the Bisection Method to approximating the root of f(x) = sin(x), starting with the interval [1, 99] and =0.00001. 4. Consider your result of the previous question. Can you think of a problem with applying the bisection method to this? 5. Approximate the value of the root of f(x) = -3x + 5x + 14x - 16 near x = 3 with small error. 6. Approximate the root, with sufficiently low tolerance, of f(x) = e* - 2x - 1 within interval [1, 2]. Note that e is Euler's number, equal to approximately 2.718.