The questions are in the photos below: I would like them all solved correctly.

. The cubic f(zr:) = 51:3 $2 1 has one real root. We will use Newton's method to find an approximation to this root. (3) Compute f(1), f((}), f(1),f(2), f(3) to get an idea of where the root off occurs, and hence choose a sensible initial value 9:0. (b) Compute 3:1, 3:2, . . . until there is no change in the first 4 decimal places. 2dr . Use Newton's method to estimate a positive solution of the equation sinzc = m F . . Use Newton's method to find an approximation to v10 on a calculator without using a square root function. Start with m0 = 3. Why is this a sensible initial approximation to use? . In each part, use the graph of y = f($) below to find the requested information. ( ) ( ) (c) Estimate the the open intervals on which f is concave up. ( ) Estimate the open intervals on which f is concave down. ( ) Estimate the values of a: at which f has an inflection point