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Consider the following equation: f(x) = x^3 + x^2 - 5x - 3. Using the bisection method, how many iterations are required to approximate the root within an error tolerance of 0.001 if the initial interval is [-2, 0]?
  • a)
    8
  • b)
    9
  • c)
    10
  • d)
    11
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following equation: f(x) = x^3 + x^2 - 5x - 3. Using the ...
To approximate the root within an error tolerance of 0.001 using the bisection method, we start with the initial interval [-2, 0]. In each iteration, the interval is halved until the width of the interval becomes less than the tolerance. The number of iterations required can be determined by counting the halvings. In this case, the root can be approximated within the desired tolerance in 11 iterations.
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Consider the following equation: f(x) = x^3 + x^2 - 5x - 3. Using the bisection method, how many iterations are required to approximate the root within an error tolerance of 0.001 if the initial interval is [-2, 0]?a)8b)9c)10d)11Correct answer is option 'D'. Can you explain this answer?
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Consider the following equation: f(x) = x^3 + x^2 - 5x - 3. Using the bisection method, how many iterations are required to approximate the root within an error tolerance of 0.001 if the initial interval is [-2, 0]?a)8b)9c)10d)11Correct answer is option 'D'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Consider the following equation: f(x) = x^3 + x^2 - 5x - 3. Using the bisection method, how many iterations are required to approximate the root within an error tolerance of 0.001 if the initial interval is [-2, 0]?a)8b)9c)10d)11Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following equation: f(x) = x^3 + x^2 - 5x - 3. Using the bisection method, how many iterations are required to approximate the root within an error tolerance of 0.001 if the initial interval is [-2, 0]?a)8b)9c)10d)11Correct answer is option 'D'. Can you explain this answer?.
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