A) \[2%\]
B) \[8%\]
C) \[15%\]
D) without the value of the constant a, the percentage of error cannot be calculated
Correct Answer: A
Solution :
\[z=a{{x}^{2}}{{y}^{1/2}}\] \[\frac{\Delta z}{z}=2\frac{\Delta x}{x}+\frac{1}{2}\frac{\Delta y}{y}\] \[\frac{\Delta z}{x}\times 100=\left[ 2\frac{\Delta x}{x}+\frac{1}{2}\frac{\Delta y}{y} \right]\times 100\] \[10%=2\frac{\Delta x}{x}\times 100+\frac{1}{2}\times 12%\] \[\frac{\Delta x}{2}\times 100=2%\]You need to login to perform this action.
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