1.12.17 Vector analysis
Condition: For a given vector field \( \bar{F}=\left(x-y^{2}, \tan ^{-1}\left(\frac{y}{x}\right), \sin ^{-1}\left(\frac{x z}{y}\right)\right) \) calculate \( \operatorname{div} \bar{F} \) at point \( (1; 1; 0)\).
Vector analysis. Scalar and vector fields, level surfaces, calculation of gradient, divergence and field curl.