i need help with these

The values of various roots can be approximated using Newton's method. For example, to approximate the value of V10, let x = V10 and cube both sides of the equation to obtain x = 10, or x - 10 =0. Therefore, 10 is a root of p(x) = x - 10, which can be approximated by applying Newton's method. Approximate the following value of r by first finding a polynomial with integer coefficients that has a root r. Use an appropriate value of X, and stop calculating approximations when two successive approximations agree to five digits to the right of the decimal point after rounding. r = 2 r (Type an integer or decimal rounded to five decimal places as needed.)The displacement of a particular object as it bounces vertically up and down on a spring is given by y(t) = 1.6 e ~ cos 2t, where the initial displacement is y(0) = 1.6 and y = 0 corresponds to the rest position (see figure). Complete parts a through d below. . . . a. Find the time at which the object first passes the rest position, y = 0. The object first passes y = 0 at t ~ (Round to six decimal places as needed.)