8. (a) Let I= f(x) dx where f(x) = 7x + 2 – V7x + 2. Use Simpson's rule with four strips to estimate I, given 1.00 1.25 1.50 1.75 2.00 f(x) 6.0000 7.4713 8.9645 10.4751 12.0000 h (Simpson's rule: Sn (yo + Yn + 4(y1 + y3 + Y5 + • · ·) + 2(y2 + Y4 + Y6 + • •.)).) %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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8. (a) Let I =
| f(x) dx where f(x) = 7x + 2 – V7x + 2.
Use Simpson's rule with four strips to estimate I, given
1.00
1.25
1.50
1.75
2.00
f(x) 6.0000 7.4713 8.9645| 10.4751 12.0000
h
(Simpson's rule: S.
(3 + Yn + 4(y1 + y3 + Y5 + · ··) + 2(y2+ Y4 + Y6 + · ·)).)
Answer:
(b) Check your result in (a) by evaluating (7x + 2 - V7x + 2) dr exactly.
(Show all working.)
Transcribed Image Text:8. (a) Let I = | f(x) dx where f(x) = 7x + 2 – V7x + 2. Use Simpson's rule with four strips to estimate I, given 1.00 1.25 1.50 1.75 2.00 f(x) 6.0000 7.4713 8.9645| 10.4751 12.0000 h (Simpson's rule: S. (3 + Yn + 4(y1 + y3 + Y5 + · ··) + 2(y2+ Y4 + Y6 + · ·)).) Answer: (b) Check your result in (a) by evaluating (7x + 2 - V7x + 2) dr exactly. (Show all working.)
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