Math 242, Fall 2013, Assignment 6

I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.

- Thomas Mann, The Magic Mountain

Carefully define the following terms:

1. The limit of $f$ as $(x,y)$ approaches $(a,b)$.
2. Continuous at $(a,b)$.
3. Partial derivatives of $f$ at $(a,b)$.

Solve the following problems:

1. Section 11.2, problems 7, 9, 11, 13, 15, 17, 19, 29, and 31.
2. Section 11.3, problems 5, 7, 15, 19, 35, 45, 51, 57, and 68.

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