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8. (a) Let I= f(x) dr where f(r) = 7.x +2 – VTæ + 2. = 1, 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 =(y0 + Yn + 4(yı + Y3 + Y5 + • ·) +2(y2 + Y4 + Ys + .)).) Answer: (b) Check your result in (a) by evaluating (7x +2 – 7r + 2) dx exactly. (Show all working.)

8. (a) Let I= f(x) dr where f(r) = 7.x +2 – VTæ + 2. = 1, 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 =(y0 + Yn + 4(yı + Y3 + Y5 + • ·) +2(y2 + Y4 + Ys + .)).) Answer: (b) Check your result in (a) by evaluating (7x +2 – 7r + 2) dx exactly. (Show all working.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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