Ap calculus: estimate propagated error in volume

[joy08]

The side of a cube is measured to be 3.0 inches. if the measurement is correct to within 0.01 inch, use differentials to estimate the propagated error in the volume of the cube

 

[galactus]

Re: Ap calculus

\(\displaystyle V=x^{3}\), where x is the length of a side.

\(\displaystyle dV=3x^{2}dx=3(3)^{2}(\pm\frac{1}{100})\)