Finding the Roots of Algebraic and Transcendental Equations using Numerical Methods

If f(x) = x^3 - x - 2, which of the following intervals contains a root?
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The order of convergence of the Newton-Raphson method is:
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Which method does NOT require the derivative of the function?
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For the equation cos(x) - x = 0, the root lies approximately in which interval?
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If f(a) * f(b) < 0, this guarantees:
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Which method is guaranteed to converge but may be slow?
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A transcendental equation typically involves:
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The Secant method requires:
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If the derivative at the root is zero, Newton-Raphson method:
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The main objective of numerical root-finding methods is to:
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