Approximate the Positive Zero(s) of the Function $f ( x ) = x ^ { 3 } - \cos x \text { to three decimal }$

question 29

Multiple Choice

Approximate the positive zero(s) of the function $f ( x ) = x ^ { 3 } - \cos x \text { to three decimal }$ places. Use Newton's Method and continue the process until two successive approximations differ by less than 0.001. $0.001$

• A)\(- 0.967\)
• B) \(0.865\)
• C) \(0.842\)
• D) \(- 0.865\)
• E) \(0.916\)

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