Approximations explained with calculus 1) The mechanic's rule for approximating va is to first obtain an approximation x1 Then get successive approximations by xn+1 =;(xn +; a) Use the rule to approximate V11 and v13 to three decimal places. b) Use a single iteration of the rule and give your answer as a mixed number for the following cases Estimating v27 with initial guess of 5 Estimating V82 with initial guess of 9 Estimating v97 with initial guess of 10 c) With some practice that first iteration should be able to be done mentally. Give an explanation of what one iteration of the rule involves.

sdiUyxIC-ca6DLLOE19kax-gSuXEOq1sthqcdS TajAIOwGsNw/formResponse This option This option Question* Using Newton's method, the approximation of the root of the function f(x) = x2-3 accurate to within 10-1 starting with x, = 1 is: 1.7321 None of the answers This option This option 0.8526 0.8285 This option This option Question* For a given function f(x), the divided differences table is given by:

İn calculations , use four digits after the decimal point (do not round intermediate calculations)