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1. We know it Π = 4 Arctan(1) = 4 0∫1 1/ (1 + x2)dx. Use the Trapezoidal rule and Simpson's rule to approximate the integral with n = 6.
What estimates for Π do you obtain?
2. Use the error estimate for the Trapezoidal rule to give a bound for the error in problem A for the Trapezoidal rule.
3. Use the error estimate for the Trapezoidal rule to determine a value n, so that the error is less than 10-2.
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The manufacturer reported that for a sample of 50 heartburn sufferers, the mean time to relief was 3.3 minutes and the standard deviation was 1.1 minutes. Calculate the appropriate test statistic to test the hypotheses. Statistics and Probability
Problem 1: Write an essay explaining the aesthetic principles expressed in visual arts and describe how they changed from the Baroque period through the early twentieth century.
Just build the payoff matrix model in each caseb.)compute a regret (opportunity loss) matrix.HINT:Your payoff matrix should have six strategies and nine states of nature.
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