Question: a) By dividing the range into ten equal parts, evaluate sin x dx by Trapezoidal and Simpson's rule. Verify your answer with actual integration.

a) By dividing the range into ten equal parts, evaluate sin x

a) By dividing the range into ten equal parts, evaluate sin x dx by Trapezoidal and Simpson's rule. Verify your answer with actual integration. 2 Major Topic4 Blooms Score Designation Numerical Integration 7 b) Create a system of linear equation that is convergent and would have a unique solution. Discuss what makes your constructed system of linear equation convergent. Major Topic5 Blooms Score Designation Iterative solution methods 6 c) Given the relation R= {(1,2),(2,3)} on the set A = {1,2,3}. What is the minimum number of ordered pairs which when added to R make it an equivalence relation? Discuss your reasoning.

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