Homework 3 Problems - Advanced Calculus – 2006 | MATH 380, Assignments of Advanced Calculus

Material Type: Assignment; Class: Advanced Calculus; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Fall 2006;

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Math 380, Section N1
Homework 3
Due September 14, 2006, before class
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.

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Math 380, Section N

Homework 3

Due September 14, 2006, before class

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.