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Mathematics, 10.07.2019 01:10 avagymnast421
Etermine whether the following statements are true and give an explanation or counterexample. a. if f is a constant function on the interval [a, b], then the right and left riemann sums give the exact value of integral from a to b f left parenthesis x right parenthesis dx for any n. is the statement true or false? explain. a. false; only a midpoint riemann sum will give an exact value of the integral. b. true; the area under a constant function is a rectangle, so the rectangles of a riemann sum cover exactly the whole area. c. true; the riemann sum gives an approximation of an integral and never an exact value. d. false; the left and right riemann sums only give an exact value for values of n that are very large.
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