Science:Math Exam Resources/Courses/MATH103/April 2005/Question 04
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Question 04 

The level of water in a reservoir changes over the year due to inflow and outflow. If the volume at is cubic metres and the rate of change of volume is cubic metres per day, where t is the time in days, find the total change in the volume between and . 
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Hint 

Given the rate of change of some process r(t), the total change over the time interval is given by 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Given that the rate of change of volume is cubic centimetres per day, the total change in the volume between t=0 and t=5, in cubic centimetres, is 