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Surveying - Engineering

Q1:

If d is the distance between equidistant odd ordinates, the Simpson's rule for the areas, is

A [h1 + hn + 2(h3 + h5 + ... + hn - 2) + 4(h2 + h4 + ... + hn - 1)]

B [h1 + hn + 2(h3 + h5 + ... + hn - 2) + 4(h2 + h4 + ... + hn - 1)]

C [h1 + hn x 2(h2 + h4 + ... + hn - 1) + 4(h3 + h5 + ... + hn - 2)]

D [h1 + hn + 2(h3 + h5 + ... + hn - 2) + 4(h2 + h4 + ... + hn - 1)]

E none of these.

ANS:B - [h1 + hn + 2(h3 + h5 + ... + hn - 2) + 4(h2 + h4 + ... + hn - 1)]

D/3 (first length + last length + 2x (additive of odd lengths) + 4x (additives of even lengths).