Use Newton's method to find the fixed point(s) of the function where f(x)=x. e²-5 Step 1 of 4 Recall that Newton's metho

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Use Newton S Method To Find The Fixed Point S Of The Function Where F X X E 5 Step 1 Of 4 Recall That Newton S Metho 1 (33.64 KiB) Viewed 54 times

Use Newton's method to find the fixed point(s) of the function where f(x)=x. e²-5 Step 1 of 4 Recall that Newton's method is used to approximate a zero of a function, fx), using the equation below, where x is an initial guess. *1** F(x) F(x₂) To determine where e-S-x, we find the zeros of the function f(x)-e-x-5. We will also need the derivative function, (x)=-1 Observe from a graph of the function that there is one positive and one negative root. We will start with finding the positive root. For the initial guess xp we will use the nearest positive integer to the exact root, that is, X₁ = 2- Step 2 of 4 We apply Newton's Method until we have the same value in successive iterations, up to five decimal places. If x=2, then (2) (2) (2) 1.9391059 4 -3-2 X₂1.9391059- 1 000 1.9391059 Step 3 of 4 Using x,-1.9391059, we calculate the next few iterations. (Rou (1.9391059) (1.9391059) and f(2)= , so we calculate x as follows ound your answer for x, to seven decimal places.) answers to seven decimal places.)