20181206

• I-Learn, Problem Set, Class Pictures

1. Suppose $f=x^2y+3z$.
   • Compute $df$.
   • Compute $\int_{ (1,2,3) }^{ (0,-1,2) } df$.
2. Let $\vec F = (5y,5x)$.
   • Find a potential for $\vec F$, or explain why none exists.
   • Compute the work done by $\vec F$ along the circle $\vec r(t) = (3\cos t, 3\sin t)$.
3. Let $\vec F = (-5y,5x)$.
   • Find a potential for $\vec F$, or explain why none exists.
   • Compute the work done by $\vec F$ along the circle $\vec r(t) = (3\cos t, 3\sin t)$.

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