Consider the following function: f(x)=-12-21x+18x² - 2.75x3 Determine a root of the given function using the bisection method. Use initial guesses of x = -1 and x₁ = 0 and a stopping criterion of 10%. (Round the final answer to four decimal places. Include a minus sign if necessary.) Upload your iteration Table for which the first two iterations are provided. Explanation: Using bisection, the first iteration is = 140 =-0.5 f(-1)f(-0.5) 29. 75 (3.34375) = 99.47656 = Therefore, the root is in the second interval and the lower guess is redefined as xy=-0.5. The second iteration is Eg= -0.5+0 - -0.25 2 0.25 (0.5) 100% = 100% -0.25 f(-0.5)f(-0.25) = 3.34375 (-5.5820313) = -18.66492 Therefore, the root is in the first interval and the upper guess is redefined as x₁ = -0.25. The remainder of the iterations are displayed in the following table: x₁ f(x₁) Xu F(x) 1 -1 29.75 0 -12 2 -0.5 3.34375 0 -12 X, -0.5 -0.25 F(X) 3.34375 -5.5820313 100.00%

Consider the following function: f(x)=-12-21x+18x² - 2.75x3 Determine a root of the given function using the bisection method. Use initial guesses of x = -1 and x₁ = 0 and a stopping criterion of 10%. (Round the final answer to four decimal places. Include a minus sign if necessary.) Upload your iteration Table for which the first two iterations are provided. Explanation: Using bisection, the first iteration is = 140 =-0.5 f(-1)f(-0.5) 29. 75 (3.34375) = 99.47656 = Therefore, the root is in the second interval and the lower guess is redefined as xy=-0.5. The second iteration is Eg= -0.5+0 - -0.25 2 0.25 (0.5) 100% = 100% -0.25 f(-0.5)f(-0.25) = 3.34375 (-5.5820313) = -18.66492 Therefore, the root is in the first interval and the upper guess is redefined as x₁ = -0.25. The remainder of the iterations are displayed in the following table: x₁ f(x₁) Xu F(x) 1 -1 29.75 0 -12 2 -0.5 3.34375 0 -12 X, -0.5 -0.25 F(X) 3.34375 -5.5820313 100.00%

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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