Given that p varies directly as q and
varies inversely with t², show how p varies with t.

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Step-by-step explanation:

Direct variation:

Inverse variation:

Given:

and

From the first equation we can see:

It means if p varies directly as q, then q directly varies as p.

Square the second equation:

Since p varies directly as q and q varies inversely with t⁴, we can state p varies inversely with t⁴.

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