(a) How much rain falls into the reservoir between noon and midnight? Between noon and midnight, of rain falls into the reservoir. mumber units (b) At 2pm, a floodgate is opened in order to allow water to flow out of the reservoir at a constant rate of 200 litres per hour. There are no other ways for water to enter or leave the reservoir, except through the rain or the floodgate. i. At what time did the reservoir's water level reach its high point that day? The water level was highest at PM. ii. has the same amount of water in it at midnight as it previously had at noon that day? At what time should the floodgate be closed in order to ensure that the reservoir
(a) How much rain falls into the reservoir between noon and midnight? Between noon and midnight, of rain falls into the reservoir. mumber units (b) At 2pm, a floodgate is opened in order to allow water to flow out of the reservoir at a constant rate of 200 litres per hour. There are no other ways for water to enter or leave the reservoir, except through the rain or the floodgate. i. At what time did the reservoir's water level reach its high point that day? The water level was highest at PM. ii. has the same amount of water in it at midnight as it previously had at noon that day? At what time should the floodgate be closed in order to ensure that the reservoir
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Rain falls into a reservoir at a rate of r(t) litres per hour, where t is the time in hours since noon.
y [L/h).
400-
y = r(t)
200
6
8
10
12 t[h)
(a)
How much rain falls into the reservoir between noon and midnight?
Between noon and midnight,
of rain falls into the reservoir.
number
units
(b) At 2pm, a floodgate is opened in order to allow water to flow out of the reservoir at a constant
rate of 200 litres per hour. There are no other ways for water to enter or leave the reservoir,
except through the rain or the floodgate.
At what time did the reservoir's water level reach its high point that day?
i.
The water level was highest at
PM.
At what time should the floodgate be closed in order to ensure that the reservoir
has the same amount of water in it at midnight as it previously had at noon that day?
ii.
The floodgate should be closed at
PM.
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