5. At 1 pm on a hot day the rate, in cm per minute, at which water in a swimming pool evaporates is dV given as dt = 60 - where t is the number of minutesafter 1 pm, 10 (a) At what time will evaporation stop on this particular day? dt=60-To V:S+ bot +c. (b) Find the total amount of water, in litres, that evaporates between 1 pm and by the time evaporation stops.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.4: The Fundamental Theorem Of Calculus
Problem 83E
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I don't know how to do question 5 and 8

290
UNIT 2 Mathematics Methods
5.
3)
At 1 pm on a hot day the rate, in cm per minute, at which water in a swimming pool evaporates is
dV
given as
dt
where t is the number of minutesafter 1 pm.
60
%3D
-
10
(a) At what time will evaporation stop on this particular day?
dv
dt=60-10
(b) Find the total amount of water, in litres, that evaporates between 1 pm and by the time
evaporation stops.
Transcribed Image Text:290 UNIT 2 Mathematics Methods 5. 3) At 1 pm on a hot day the rate, in cm per minute, at which water in a swimming pool evaporates is dV given as dt where t is the number of minutesafter 1 pm. 60 %3D - 10 (a) At what time will evaporation stop on this particular day? dv dt=60-10 (b) Find the total amount of water, in litres, that evaporates between 1 pm and by the time evaporation stops.
Crude oil flows in and out of a tank at a refinery on a particular day such that the rate of change of the
volume of crude oil, in litres, is given as -
Chapter Nine Integratio
8.
on a particular day such that the rate of change of the
(t+10)(t-70)(t-140)
dt
dV
where t is the time, in minutes
%3D
after 6 am.
(a) Determine the rate of change of volume of crude oil at 6 am.
1000
du
(も+lo)(t70)(t-140)
1000
2
(b) Determine the minimum rate of change of volume of crude oil and at what time this occurs.
At 6 am the tank held 1000 litres of crude oil.
(c) Determine how much crude oil was in the tank at 7:30 am.
Transcribed Image Text:Crude oil flows in and out of a tank at a refinery on a particular day such that the rate of change of the volume of crude oil, in litres, is given as - Chapter Nine Integratio 8. on a particular day such that the rate of change of the (t+10)(t-70)(t-140) dt dV where t is the time, in minutes %3D after 6 am. (a) Determine the rate of change of volume of crude oil at 6 am. 1000 du (も+lo)(t70)(t-140) 1000 2 (b) Determine the minimum rate of change of volume of crude oil and at what time this occurs. At 6 am the tank held 1000 litres of crude oil. (c) Determine how much crude oil was in the tank at 7:30 am.
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