3) 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) = -2x - 1.6x + 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%.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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Work on the following problems using your formatted bond papers. Show complete solutions. Work to within 10^–4 , unless indicated otherwise. Enclose all final answers in a box. On the first page of your papers, summarize all your answers and iteration tables.
3) 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) = -2x - 1.6x + 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:3) 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) = -2x - 1.6x + 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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