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Given the function f(x) which is used to determine the draft pressure fluctuations coming from a petroleum refinery furnace where x is the furnace surface temperature, f(x) = -2x6 – 1.6x4 + 12x + 1 Use Newton-Raphson to determine the maximum of this function. Employ initial guesses of 0 and 1.0, and perform iterations with a stopping criterion of approximate relative error falling below 1%.

Given the function f(x) which is used to determine the draft pressure fluctuations coming from a petroleum refinery furnace where x is the furnace surface temperature, f(x) = -2x6 – 1.6x4 + 12x + 1 Use Newton-Raphson to determine the maximum of this function. Employ initial guesses of 0 and 1.0, and perform iterations with a stopping criterion of approximate relative error falling below 1%.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the function f(x) which is used to determine the draft pressure fluctuations coming from a petroleum refinery furnace where x is the furnace surface temperature, f(x) = -2x6 – 1.6x4 + 12x + 1 Use Newton-Raphson to determine the maximum of this function. Employ initial guesses of 0 and 1.0, and perform iterations with a stopping criterion of approximate relative error falling below 1%.
Transcribed Image Text:Given the function f(x) which is used to determine the draft pressure fluctuations coming from a petroleum refinery furnace where x is the furnace surface temperature, f(x) = -2x6 – 1.6x4 + 12x + 1 Use Newton-Raphson to determine the maximum of this function. Employ initial guesses of 0 and 1.0, and perform iterations with a stopping criterion of approximate relative error falling below 1%.
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