Posted by **josh** on Tuesday, February 3, 2009 at 8:29pm.

(a) Use the Midpoint Rule and the given data to estimate the value of the integral I. (Give the answer to two decimal places.)

I = int_0^3.2 f(x)dx

1

x f(x) x f(x)

0.0 7.3 2.0 8.8

0.4 6.8 2.4 7.3

0.8 8.1 2.8 7.6

1.2 7.6 3.2 7.3

1.6 8.2

(b) If it is known that -5 ≤ f''(x) ≤ 3 for all x, estimate the error involved in the approximation in part (a). (Give the answer to four decimal places.)

2

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