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
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
Section: Chapter Questions
Problem 1RQ
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If you start walking south-west from the bottom of the valley, will your elevation increase or decrease? In which direction you should walk to gain elevation as fast as possible?
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
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