1.12.11 Vector analysis
Condition: The scalar field is defined by the function \( \varphi=\frac{12 z}{x^{2}+y^{2}} \). Find the field gradient and construct level surfaces for: \( \varphi=0, \varphi= \pm 1 \), \( \varphi= \pm 3 \).
Vector analysis. Scalar and vector fields, level surfaces, calculation of gradient, divergence and field curl.