To apply Simpson’s rule for computation of irregular area, number of segments should be-
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A.
Of equal width and even number
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B.
May be of varying width also
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C.
Of equal width and odd number
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D.
May be even or odd
Correct Answer:
A. Of equal width and even number
Explanation:
To apply Simpson’s rule for the computation of an irregular area, the total area must be divided into an even number of segments (or strips) of equal width. This requirement exists because Simpson’s 1/3 rule approximates the curve using parabolic arcs, each of which must span two adjacent segments to be defined by three distinct points. Consequently, while the number of segments must be even, the number of ordinates (the boundaries of those segments) will always be odd.
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