Question

For

$z=a^2x^3y^{\frac{1}{2}}$

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 ____ %.

Answer 1

% error in z =

3×4+$\frac{1}{2}$×12

= 12 + 6 = 18%