GATE CE 2019 Set 2 — Question 53
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Engineering Mathematics → Numerical Integration & ODEs → Simpson's Rule
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Question
A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of are , and . The area (in , round off to 2 decimal places) bounded by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is ________
Correct answer
67 to 70
Solution
Simpson's rule for area calculation is given by:Given:
Interval
Offsets:
Number of offsets (odd), so Simpson's rule is applicable for the 6 intervals.Rounding to 2 decimal places, the area is .
Interval
Offsets:
Number of offsets (odd), so Simpson's rule is applicable for the 6 intervals.Rounding to 2 decimal places, the area is .
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