Rapid Recall
- Let $z= x^3+4xy+y^2$. Compute $dz$ in terms of $x$, $y$, $dx$, and $dy$.
- Write your answer above in the form $dz = (?_1) dx+(?_2) dy$.
- Write your answer above as the dot product of two vectors, namely $dz= (?????)\cdot (dx,dy)$.
- If $dz=0$, then what does the equation above say about the relationship between the vectors?
- What does the vector $(dx,dy)$ represent physically?
Group problems
We'll spend the entire day working on the activities that appear after chapter 3, and before chapter 4, in the problem set.
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