Unformatted text preview: [SCalcCC2 5.9.04.] Draw the graph of f(x) = sin(x2/2) in the viewing rectangle [0,1] by [0,0.5] and let I be the following. (a) Use the graph to decide whether L2, R2, M2, and T2 underestimate or overestimate I. L2 = underestimate [ underestimate ] R2 = overestimate [ overestimate ] M2 = underestimate [ underestimate ] T2 = overestimate [ overestimate ] (b) For any value of n, list the numbers Ln, Rn, Mn, Tn, and I in increasing order. Ln [ Ln ] < Mn [ Mn ] < I [ I ] < Tn [ Tn ] < Rn [ Rn ] (c) Compute L5, R 5, M5, and T5. L5 = .1187 [0.1187] R5 = .21459 [0.2146] M5 = .1637 [0.1622] T5 = .16664 [0.1666] From the graph, which do you think gives the best esti...
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This note was uploaded on 10/21/2009 for the course MATH MA241 taught by Professor Hubbard during the Spring '09 term at N.C. Central.
- Spring '09