MathProblemsBank

7.10 Differential geometry

Problem: Find the equations of the tangent plane of the torus. \[ \begin{array}{l} x=(7+5 \cos u) \cos v, \quad y=(7+5 \cos u) \sin v, \\ z=5 \sin u, \quad \text { at the point } M(u, v) . \end{array} \]