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Material Type: Assignment; Class: Advanced Calculus; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Fall 2006;
Typology: Assignments
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Problem 1. Textbook page 89, Exercise 4 parts (a), (c), (e) and (f). Also find the points where these functions are guaranteed to have differen- tial. This means finding the points where the partial derivatives are continuous (which guarantees differentiability because of our last the- orem).
Problem 2. Textbook page 90, Exercise 6.
Problem 3. Textbook page 90, Exercise 7.
Problem 4. Textbook page 95, Exercise 1, parts (c), (d) and (g).
Problem 5. Textbook page 95, Exercise 2, parts (a) and (d).
Problem 6. Textbook page 95, Exercise 3, parts (a) and (b).
Problem 7. Textbook page 95, Exercise 4.