Suppose the following data points are generated by a smooth function f (x): 1 1 2 1 6. 0.7732 3 0.8472 3 0.9808 6. 1.0414 f(x) 0.6931 0.9163 1.0986 Approximate f, f(x) dx using the composite trapezoidal rule with n = 3 sub- intervals: 1.2485 0.3817 None of the answers 0.9079
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- What is the purpose of the Intermediate Value Theorem?A governmental agency determines that the Lorentzcurves for the distribution of income for dentists andcontractors in a certain state are given by the functionsL1 (x) = 2 + x1.35, L2 (x) = 0.12+ 0.9x, andrespectively.For which profession is the distribution of income morefairly distributed?Find the equation of the normal line of f(x) = x⁴ + 2x at x = 1 using the limits definition.
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