Math 191 Prelim#3 Fall 2006 Pg.6

Math 191 Prelim#3 Fall 2006 Pg.6 - _5 6(a(15 pts If you...

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Unformatted text preview: _5__ 6. (a) (15 pts.) If you wanted to estimate the integral fox/2 sin(2:c) using the trapezoid rule, how many subintervals would you have to make for your estimate to be accurate to 2 decimal places? (You may leave your answer in an exact form, i.e. without decimals. Only the number of subintervals is requested. You do not need to calculate the estimate of far/2 sin(2\$) itself.) The error for the trapezoid rule is iETI g gig—3):, where M is the maximum of the second derivative of the function in the interval [(1, b], and n is the number of intervals. (b) (5 pts.) Is the estimate in part a) an overestimate, and underestimate, or exact. Explain your answer. Extra credit (5 pts.) : Find the sum 55; " ”:0 (n + D2”. ...
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