Question

8. Express the statement"W varies directly as x3 but
inversely as y2​

Answer 1

SOLUTION

TO DETERMINE

To Express the statement : W varies directly as x³ but inversely as y²

EVALUATION

Here it is given that W varies directly as x³ but inversely as y²

Since W varies directly as x³

$\sf{W \propto {x}^{3} }$

Again W varies inversely as y²

$\displaystyle \sf{W \propto \: \frac{1}{ {y}^{2} } }$

Above gives

$\displaystyle \sf{W \propto \: \frac{ {x}^{3} }{ {y}^{2} } }$

$\displaystyle \sf{ \therefore \: \: W = \: \frac{ k{x}^{3} }{ {y}^{2} } }$

Where k is a non zero real number

Which is the required expression

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