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## Sample Document Text

Module 4:
Areas under curves and Anti -derivatives
Problem 1: Velocity from Acceleration.
Problem 2: Mass from Concentration, in the
outlet pipe
Problem 3: Mass from Concentration, in the
settlement tank
In this module we will see how to calculate total accumulations of quantities
from the rate of accumulation. This includes calculating total amounts from
densities and concentrations. This type of calculation can also be used to find
the area with a curved boundary. The formal mathematical techniques we
develope here will be studied in Module 5.
2
Schedule
Date Lecture Assignment
Wed 29th Oct Problem 1: Speed from
acceleration
None
Fri 31th Oct Finding anti-derivatives
Homework 1:
Sec 6.1: 1, 2?, 3, 4?, 13, 16?,
37, 40?
Sec 8.3: 35, 36?, 39, 40?
Fri 7th Nov Areas under curves Homework 2:Exercise on page 9
Mon 10th Nov Problem 2: Finding totalmass flowing into the settle-
ment tank
Homework 3:
Exercise on page 14
Wed 12th Nov Problem 3: Finding total
mass in a settlement tank
Home...

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