Using Fixed-Point Iteration with an initial value of 1, find a value of x that will make the following function true with an error of less than 1%: h(z) = x +2a² -x = 3 %3D %3D Round-off intermediate values to 7 decimal places, and the final answer to 5 decimal places. Hint: First, isolate the "x" term. Then, get the fourth root of both sides of the equation. So, the iterative formula will be Xk+1 = fourth root (a certain expression with x For example: Ik+1 = Va cetain erpression in terms of rx O 1.11800 O 1.12325 O 1.12181 O none of the choices

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1 Hour, 53 Minutes
Using Fixed-Point Iteration with an initial value of 1, find a value of x that will make the following function true
with an error of less than 1%:
h (x) = x + 2x²
r = 3
Round-off intermediate values to 7 decimal places, and the final answer to 5 decimal places.
Hint: First, isolate the " x " term. Then, get the fourth root of both sides of the equation.
So, the iterative formula will be Xk+1 = fourth root (a certain expression with x)
For example: Tk+1 = Va cetain expression in terms of r
O 1.11800
O 1.12325
O 1.12181
none of the choices
nts
us Survey
ury 12,
O 1.12786
O 1.12554
TUDENTS
FOR
FACE-TO-
Transcribed Image Text:1 Hour, 53 Minutes Using Fixed-Point Iteration with an initial value of 1, find a value of x that will make the following function true with an error of less than 1%: h (x) = x + 2x² r = 3 Round-off intermediate values to 7 decimal places, and the final answer to 5 decimal places. Hint: First, isolate the " x " term. Then, get the fourth root of both sides of the equation. So, the iterative formula will be Xk+1 = fourth root (a certain expression with x) For example: Tk+1 = Va cetain expression in terms of r O 1.11800 O 1.12325 O 1.12181 none of the choices nts us Survey ury 12, O 1.12786 O 1.12554 TUDENTS FOR FACE-TO-
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