3. Draw the contour maps of
corresponding to c = 10, 20, 50, and 100.
Solution: The contour for z = c is
The various contours are
|
c |
contour |
|
10 |
x2 + 5y2 = 9 |
|
20 |
x2 + 5y2 = 4 |
|
50 |
x2 + 5y2 = 1 |
|
100 |
x2 + 5y2 = 0 |
The corresponding graphs are
