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Module 1: Differential equations

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The rates of change example

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Advanced Mathematics - The rates of change example

The rates of change example

A spherical hot air balloon is inflated at a rate of 20 m per second.
Assuming the balloon is initially empty, and its shape remains spherical,
find the rate of change in the radius when:

a. radius is 5 m

b. time is 30 secs

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