Question
Asked Nov 8, 2019
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The table shows the rate of inflow of water, in cubic feet per second, as measured every morning at 7:30 AM by the US Army Corps of Engineers at a lake in Georgia. Use the Midpoint Rule to estimate the amount of water that flowed into this lake from July 18th, 2013 at 7:30 AM to July 26th at 7:30 AM.

Day   Inflow rate
(ft3/s)
July 18   5262
July 19   6411
July 20   2572
July 21   4258
July 22   3008
July 23   3826
July 24   2463
July 25   3618
July 26   3006
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Expert Answer

Step 1

Refer to the question we have to estimate the amount of water that flowed into this lake from July 18th, 2013 at 7:30 AM to July 26th at 7:30 AM.  And the provided data are,

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Inflow rate Day (ft/s) July 18 5262 July 19 6411 July 20 2572 July 21 4258 July 22 3008 July 23 3826 July 24 2463 July 25 3618 July 26 3006

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Step 2

Use the midpoint rule for the formula which determines the amount of water that will be followed into the lake is,

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Flow rate °r(t) dt

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Step 3

So the amount of water flowed in the lake from July 18th, 2013 at 7:30 AM to July 26th at 7:30 AM which is t...

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Flow rate =r(t)dt

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Calculus

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