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Another Riemann Sums Exercise 499 Consider the Riemann sum > (5 - (2 + 0.006k)2) Ax. K = 0 9. What are the values of
Another Riemann Sums Exercise 499 Consider the Riemann sum > (5 - (2 + 0.006k)2) Ax. K = 0 9. What are the values of Ax and a? (Hint: somewhere in that expression is a + kAx. Find it to get values for a and Ax.) 10. What definite integral is being approximated? (Hint: you will need to find b, and f (20 ). ) 11. Is this Riemann sum an overestimate of the integral, an underestimate of it, or is it impossible to tell? Explain your answer. 12. Suppose we write another Riemann sum to approximate the same definite integral. This new Riemann sum has the form 9999 2 (5 - (2+ )2) Ax. K = 0 (a) What is the new value of Ax? (b) Fill in the blank in the new Riemann sum. (c) Is this new Riemann sum an overestimate or an underestimate of the definite integral? Explain. (d) Is this new Riemann sum smaller or larger than the first one? Explain
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