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Use Newton's method to approximate a root of the equation 5:133 | 53: + 4 = 0 as follows. Let 3:1 2 2 be the initial approximation. The second approximation 3:2 is C] , and the third approximation :33 is C] (Although these are approximations of the root, enter exact expressions for each approximation.) f(In) For the function f(a) = - 2x2 + 4, write Newton's formula as En +1 = F(n) = an - for f' (an) solving f(a) = 0. Type in x_n for En Cn+1f (In ) For the function f(x) = sin(x), write Newton's formula as En +1 = F(In) = an - for solving f' (En) f(ac) = 0. Type in x_n for En On+1 =Do not use a calculator for this problem. Find the x-value where the maximum value of y = sin a: 2:82 occurs. When you need to solve for an expression equal to zero, use Newton's method with a: = 0 as your first guess and enter your second guess as the answer. Enter your answer as a fraction. i:i