Find the solution of the following initial value problem. V' (x) = 4x + 8x ; v(8) = 61, x >0 The solution of the initial value problem is v(x) =.wton's Method Question 1, 4.8.15-T HW Score: 0%, 0 of 9 points O Points: 0 of 1 Save Use a calculator or program to compute the first 10 iterations of Newton's method for the given function and initial approximation. f(x) = 4 sin x + 2x - 3, Xo = 1.5 Complete the table. Do not round until the final answer. Then round to six decimal places as needed.) k XK k XK 1 6 2 7 3 8 4 9 5 10- O Points: 0 of 1 Find all the roots of the given function. Use preliminary analysis and graphing to find good initial approximations : f(x) = cos (2x) - 3x2 + 8x The function has a root when x ~ [ (Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as ne - (O Ao 2,4.821-T HW Score: 0%, 0 of 9 points 's Method HW Score: 0%, 0 of 9 points O Points: 0 of 1 Use Newton's method to find an approximate answer to the following question. 9 Where are the inflection points of f(x) = X - 8x4 10 5 3 X + 56x + 1 located? . . . The inflection points are located at X ~ (Round to six decimal places as needed. Use a comma to separate answers as needed.)