M3 Riemann Sums WS Problems.pdf - M3 Approximating Definite...

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M3 - Approximating Definite Integrals with Riemann SumsNAME:CRN:Learning ObjectivesIn this assignment, we will use a Matlab tool,rsumtool, to approximate the value of agiven definite integral within a specified error bound.The problems in this assignment seek to familiarize students with using left and rightRiemann sums to approximate definite integrals.We begin by building intuition foroverestimates and underestimate of monotonic functions, and apply these methods toestimate functions that have intervals of increasing and decreasing on their domain.Before introducing the assignment, let’s first discuss whatrsumtooldoes and consider anexample.What doesrsumtooldo?rsumtoolcalculates the left and right Riemann sums for a specified functionfon aninterval [a, b] withnequal length subintervals. It also provides two graphs, one for eachsum, that illustrates the rectangles associated with these calculations.

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