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Unformatted text preview: the interval [2 , 7] (be careful when examining the derivative graphs – look carefully at the vertical scales!). The graph of f is to the right, and the graphs of the ﬁrst four derivatives of f are on the back of this page. You should assume that the graphs are correct for this problem. Suppose I is the value of Z 7 2 f ( x ) dx . (a) Use the graph of f alone to estimate I . (b) Use the information in the graphs to tell how many subdivisions N are needed so that the Trapezoid Rule approximation T N will approximate I with error < 10-5 . (c) Use the information in the graphs to tell how many subdivisions N are needed so that the Simpson’s Rule approximation S N will approximate I with error < 10-5 . Graph of f Graph of f 00 Graph of f (3) Graph of f (4)...
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This note was uploaded on 03/24/2011 for the course CALCULUS 152 taught by Professor Sosa during the Spring '11 term at Rutgers.
- Spring '11