Vector Calculus
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Each question is graded on a single answer: a check that this chapter's methods work, not a test of the reasoning behind them.
The field is conservative. Find its potential function with and compute .
Your answer
About these 100 questions
Vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. This set covers the chapter Vector Calculus in Calculus: 40 easy, 40 medium and 20 hard questions, each graded instantly with a hint and a full step-by-step solution. Progress is saved in this browser only.
- Vector fields — 9 questions
- Line integrals — 11 questions
- The Fundamental Theorem for line integrals — 10 questions
- Green's theorem — 10 questions
- Curl and divergence — 12 questions
- Parametric surfaces and their areas — 10 questions
- Surface integrals and flux — 10 questions
- Stokes' theorem — 9 questions
- The Divergence theorem — 10 questions
- The three theorems as one pattern — 9 questions
For work on paper there is a printable problem set with separate worked solutions.