Using Fixed-Point Iteration with an initial value of zero, find a root of the function: f (x) = x4 + 4x³ + 16x – 16 Stop iteration when the approximate error is less than 1%. Round-off intermediate...

1Using Fixed-Point Iteration with an initial value of zero, find a root of the function:<br>f (x) = x4 + 4x³ + 16x – 16<br>Stop iteration when the approximate error is less than 1%.<br>Round-off intermediate values to 6 decimal places, and the final answer to 4 decimal places<br>Hint: First, equate the function to 0.<br>Then, isolate the constant term. Next, factor

Extracted text: Using Fixed-Point Iteration with an initial value of zero, find a root of the function: f (x) = x4 + 4x³ + 16x – 16 Stop iteration when the approximate error is less than 1%. Round-off intermediate values to 6 decimal places, and the final answer to 4 decimal places Hint: First, equate the function to 0. Then, isolate the constant term. Next, factor "x" on the left side of the equation. Finally, isolate x by dividing the equation by the factor of "x" on the left side of the equation. So, the iterative formula will be xk+1 = constant / (a certain expression with xk ) For example: Xk+1 -9+5 1. O 0.8278 none of the choices O 0.8272 O 0.8284 O 0.8289

Jun 05, 2022
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