For $z=a^{2}x^{3}y^{\frac{1}{2}}$, where $a$ is a constant. If percentage error in measurement of $x$ and $y$ are $4\%$ and $12\%$, respectively, then the percentage error for $z$ will be _____$\%$.

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Aicharya · Accepted Answer

Given: z = a 2 x 3 y 1 2 Relative error is given by &#8710; z z = 3 &#215; &#8710; x x + 1 2 &#215; &#8710; y y Now, maximum percentage error in z is &#8710; z z &#215; 100 = 3 4 + 1 2 2 &#215; 100 = 18 % .

For $z=a^{2}x^{3}y^{\frac{1}{2}}$, where $a$ is a constant. If percentage error in measurement of $x$ and…

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