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 – 1.6x* + 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
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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 - 1.6x* + 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: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 - 1.6x* + 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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