function approximations

The period T (in seconds) of a simple pendulum is approximated by the function T = 2.01 l , where l is the length of the string in meters. Find the period of oscillation when the length of the string is 25 cm. => 1 seconds or 10 seconds or 50.3 seconds or 100.5 seconds..

Approximate the zero of the function f ( x ) = x 3 - 19 using Newton's method. => - 2.5663 or 2.6684 or - 2.6607 or 2.5959..

Use Newton's method for approximating the root of the function f ( x ) = x 7 - 2. => 1.408 or 1.104 or 1.173 or 2.357..

Use Newton's method for approximating the zeros of the function f ( x ) = (ln x ) 2 - 2. => -0.24231 & 4.29342 or -0.7655 & 4.36744 or 0.2431 & 4.11325 or 0.65311 & 2.71826..

Use Newton's method for approximating the root of the function f ( x ) = 2 x - 34. => 5.0874 or 4.9872 or 5.1165 or 5.0032..

Which of the following is the linear approximation to the function f ( x ) = 2 x + 3 near the point a = 1? => 2 x + 3 or 5 x + 5 or 2 x + 7 or 5 x - 5 or - 2 x + 7..

Find the approximate zero of the function f ( x ) = ln x - e - 3 x . => 1.0445 or 1.4148 or 1.0356 or 1.0043..

Use Newton's method for approximating the zero of the function f ( x ) = x 3 - x + 9 . => 2.55 or - 2.24 or - 3.41 or 2.33..

Use Newton's method for approximating the root of the function f ( x ) = 1 + x 2 - x - 1. => 3 or 2 or 0 or 1..

Find the linear approximation to the function f ( x ) = 1 1 + e 0 . 2 x near the point a = 0. => 1 2 or 0.5 - x or 0.5 +0.05 x or 0.5 - 0.05 x or - 0.05..