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Math 103 -- Homework #5

Due: Wednesday, Sept. 29, 1999

pages 811-812:: 5, 13, 27 (Hint: let z=xy and take $\lim_{z\to 0} \frac{\sin z}{z}$ ), 30 (Hint: let z=x²+y² and take $\lim_{z\to 0} \arctan(-\frac{1}{z})$ ), 43, 51

Chapter 13 introduction and Sections 13.1-13.2, pages 795-803.

What do we call the problem of finding which curve of a given length encloses the most area?

Section 13.3, pages 806-811.

What is a function whose graph ``doesn't look like a smooth and comfortable saddle''?

Section 13.4, pages 812-820.

How might we get an intuitive feel for the meaning of partial derivatives?

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Joshua Holden
12/5/1999