16.1-bo'lim: Vektor maydonlari

1. \(\vec F\left( {x,y} \right) = 2x\,\vec i - 2\vec j\) uchun vektor maydonini chizing. Yechim
2. \(\vec F\left( {x,y} \right) = \left( {y - 1} \right)\,\vec i + \left( {x + y} \right)\vec j\) uchun vektor maydonini chizing. Yechim
3. \(f\left( {x,y} \right) = {y^2}\cos \left( {2x - y} \right)\) uchun gradient vektor maydonini hisoblang. Yechim
4. \(\displaystyle f\left( {x,y,z} \right) = {z^2}{{\bf{e}}^{{x^{\,2}} + 4y}} + \ln \left( {\frac{{xy}}{z}} \right)\) uchun gradient vektor maydonini hisoblang. Yechim