Assignment For Section 1.2 & 1.3

Readings Questions:

Remember that you are responsible for all definitions and examples. But you need not memorize conversions, just know where to look them up in the text.  Also remember to keep the answers to the reading questions on a separate piece of paper; these will be randomly collected from time to time.

1)   Define the following in your own words.
        a)    domain                b)    cylinder            c)    surface            d)    quadric surface

2)   Why isn't  x2 + (y-1)2 + (z+3)2 = 25  a function of two variables?

3)   Look at figures  1.2.1,  1.2.3,  1.2.5,  and  1.2.7.  For each of these figures determine if the graph of f(x,y) has any local maximums or local minimums.  If not explain why?  If so describe where on the graph these local extremum occur (no calculations are required).
 

Problems:

page 15     1, 4, 8, 13, 15

page 24     1, 2, 8, 9, 10, 11, 14, 15, 16d, 17