Differentiation

Differentiation

Secondary 4

The volume of water in a tank is \[V=120+8t,\] where \(V\) is in \(\text{cm}^3\). Find:

  1. the volume when \(t=5\);

  2. \(\dfrac{\mathrm{d}V}{\mathrm{d}t}\), including its units and meaning.

Solution:

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Answer:(a) \(V=160\text{ cm}^3\); (b) \( \frac{\mathrm{d}V}{\mathrm{d}t}=8\text{ cm}^3/\text{s}\), increasing.

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