Consider the following data with regard to depth (y) at a distance (x) of a river 40 m wide: Distance from one of the sides (x): 0, 10, 20, 30, 40 Depth (y) at a distance (x) in metre: 0, 4, 7, 9, 12 What is the approximate area of cross-section of the river? (Use Simpson's one-third rule)

Q79Section I (Objective (Q1–Q80))78 of 79

Numerical Analysis — river cross-section area by Simpson's rule

Consider the following data with regard to depth ( $y$ ) at a distance ( $x$ ) of a river 40 m wide:

$\text{Distance from one of the sides }(x): 0, 10, 20, 30, 40$

$\text{Depth }(y)\text{ at a distance }(x)\text{ in metre}: 0, 4, 7, 9, 12$

What is the approximate area of cross-section of the river? (Use Simpson's one-third rule)

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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