The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) = -2000+0.004(x – 1000)² + 0.001(y + 1000)²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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positive x axis points east and the positive y axis points north.

The elevation of a valley above sea level (in feet) is modeled by the function
f(x, y) = -2000 + 0.004(x – 1000)² + 0.001(y + 1000)2
Transcribed Image Text:The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) = -2000 + 0.004(x – 1000)² + 0.001(y + 1000)2
Make a contour plot of the elevation function by drawing level curves for the following z-values:
-1000, 0, 2000.
1000
-1000
1000
2000
3000
-1000-
-2000
-3000-
Transcribed Image Text:Make a contour plot of the elevation function by drawing level curves for the following z-values: -1000, 0, 2000. 1000 -1000 1000 2000 3000 -1000- -2000 -3000-
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