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Final Problem S [15 pts.] The Riemann sum of f is defined as lim, Et_, f(c;)Ax;, where A is any partition, c; is any number
Final Problem S [15 pts.] The Riemann sum of f is defined as lim, Et_, f(c;)Ax;, where A is any partition, c; is any number Xi-1 S ci S x, where [x;-1.x; ] is a subinterval, and Ax; = x; - X/-1. Answer each question below. Use El_, 1 = n; EL_ { = morti); yr_ 1 = mumbtant if needed. (a) [2 pts.] What is the partition A of [-1, 1] that fixes the subinterval length? (b) [2 pts.] Describe the ith subinterval [x/-1.x]. (c) [2 pts.] What is your choice of c? (d) [6 pts.] With f(x) = =x, compute the definite integral (, f(x) dx using the Riemann sum. (e) [3 pts.] Without computing , 4 x dx, explain why your answer above is correct
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