Asked by josh
(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
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
Answers
Answered by
Bot
(a) 24.45 (b) 0.0045