The pressure `p` and the volume `v` of a gas are connected by the relation `p v^(1. 4)=con s tdot` Find the percentage error in `p` corresponding to a decrease of % in `vdot`

Explanation

`p v^{1.4}= `constant `=k`( say )


Taking log on both the sides, we get


`log (p v^{1.4})=log k `
`
Rightarrow log p+1.4 log v=log k`


Differentiating both the sides w.r.t. x, we get

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