Question

m varies inversely to double n
p varies directly to the cube of q.
show working for both

Answer 1

Answer:

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Answer 2

Given,

m varies inversely to double n  and p varies directly to the cube of q.

Solution,

Here,

$\[\begin{array}{l} \Rightarrow m\,\,\alpha \,\,\frac{1}{{2n}}\\ \Rightarrow p\,\alpha \,q\end{array}\]$

Combine the above equations.

$\[ \Rightarrow \frac{m}{p} = k\frac{1}{{2nq}}\]$

where, k is the proportionality of the constant.

Hence, the working of both is $\[k\frac{1}{{2nq}}.\]$