Simpson's Rule Question (1 Viewer)

[Shuuya]

Mathematics HSC Question 12d) (ii)

The answer is just 0.4 x 10 x 32.8 but the reasoning isn't sticking into my dumb head? Help please ;-;

Feeling so screwed :')

 

[InteGrand]

Mathematics HSC Question 12d) (ii)

The answer is just 0.4 x 10 x 32.8 but the reasoning isn't sticking into my dumb head? Help please ;-;

Feeling so screwed :')

For a constant speed of fluid (which it is here, namely 0.4 m/s),

Volume flowing through in a time interval of length T = (speed of fluid)*(cross-sectional area)*T.

So here,

volume flowing through in 10 seconds = (0.4 m/s)*(cross-sectional area)*(10 seconds).