12/12.11 Vector Analysis
Condition: The scalar field is determined by the function \ (\ varphi = \ frac {12 z} {x^{2}+y^{2}} \). Find the gradient of the field and build the 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.