Pole prostokata

[Macius700]

1. Oblicz pole prostokąta jeśli a=20,00cm V(a)=0,02cm b=10,00cm V(b)=0,04cm

\(\displaystyle{ S_{0}=a_{0}\cdot b_{0}=200,000 ...cm^2}\)
\(\displaystyle{ V(S)=\sqrt{[\frac{\partial S}{\partial a}V(a)]^2+[\frac{ \partial S}{\partial b}V(b)]^2}}\)
\(\displaystyle{ =\sqrt{[10V(a)]^2+[20V(b)]^2}}\)
\(\displaystyle{ =\sqrt{0,04+0,64}=0,624...cm^2=0,7cm^2}\)
\(\displaystyle{ S=(200,0 +/- 0,7)cm^2}\)

[anna_]

\(\displaystyle{ =\sqrt{0,04+0,64}=0,824...cm^2 \approx 0,8cm^2}\)