Given f(x) = 3 cos x² + 5x – 5. (a) Prove that f(x) = 0 has at least one root in the interval [0, ]. (b) Then, use the bisection method to approximate the root of the equation. Iterate until |f (c;)| < 0.05. Use 4 decimal places in all calculation.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Numerical method

Do your calculation in 4 decimal places unless specified in the
question.
Given
f (x) = 3 cos x² + 5x – 5.
-
(a)
Prove that f (x) = 0 has at least one root in the interval [0, 5
(b) Then, use the bisection method to approximate the root of the equation.
Iterate until |f (c;)| < 0.05. Use 4 decimal places in all calculation.
Transcribed Image Text:Do your calculation in 4 decimal places unless specified in the question. Given f (x) = 3 cos x² + 5x – 5. - (a) Prove that f (x) = 0 has at least one root in the interval [0, 5 (b) Then, use the bisection method to approximate the root of the equation. Iterate until |f (c;)| < 0.05. Use 4 decimal places in all calculation.
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