3. Newton's method D Bookmark this page Part B Homework due Aug 10, 202218100 +03 Computing roots 1 point possible (graded) We are going to compute the cube root of 9 to 6 significant digits using Newton's method. In the problems that follow, choose a function of the form f(m)=a:m0 (rather than C mm) to find the root. Give the formula for 3,3\" in terms of the previous value an. (Type x_ n to denote can in your answer. Use :1: for multiplication, ,lfor division, and A for exponentiation.) Iterate 4 points possible (graded) I: This problem is a continuation of computing the cube root of 9 using Newton's method. ] List numerical values produced by Newton's method starting with :30 = 2. (Enter answers with 5 decimal digits of accuracy.) 30:2 2312 Illustrate problem 1 point possible [graded] [ This problem is a continuation of computing the cube root of 9 using Newton's method.) Note that to answer this problem, choose a function of the form f(2':) =mmC [rather than C mm} to find the root. Which image best illustrates Newton's Method in this problem? Select an option v Quadratic approximation 1 point possible [graded] (This problem is a continuation of computing the cube root of 9 using Newton's method. ] Find a quadratic approximation of the cube root of 9 by using the equation 9 = 8 (1 l 1/8), and estimate the difference between the exact value and the approximation. (Enter answer to 4 decimal places.)