1. Level curves The diagram below shows how the elevation above sea-level (in m) varies over a landscape, with and y coordinates measured in kilometres relative to a field station located at (0,0). 3 0 6 -2 Poz 4 2 1 8 3 10 12 14 16 18 x (a) Approximate the rate at which the elevation changes in the r and y directions at the point (2,0). (b) You walk in a straight line from the field station at (-0.6, 1) (indicted by the black dot), to the first exper iment site at grid coordinates (4,0) and then to a second experiment site at (0,3), before returning to the field station. Describe how the elevation changes as you follow this path.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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1. Level curves
The diagram below shows how the elevation above sea-level (in m) varies over a landscape, with and y
coordinates measured in kilometres relative to a field station located at (0,0).
-2
2
0
1
6
8
10
k
12
14
16
3
18
AX
(a) Approximate the rate at which the elevation changes in the ar and y directions at the point (2,0).
(b) You walk in a straight line from the field station at (-0.6, 1) (indicted by the black dot), to the first exper-
iment site at grid coordinates (4,0) and then to a second experiment site at (0,3), before returning to the
field station. Describe how the elevation changes as you follow this path.
Transcribed Image Text:1. Level curves The diagram below shows how the elevation above sea-level (in m) varies over a landscape, with and y coordinates measured in kilometres relative to a field station located at (0,0). -2 2 0 1 6 8 10 k 12 14 16 3 18 AX (a) Approximate the rate at which the elevation changes in the ar and y directions at the point (2,0). (b) You walk in a straight line from the field station at (-0.6, 1) (indicted by the black dot), to the first exper- iment site at grid coordinates (4,0) and then to a second experiment site at (0,3), before returning to the field station. Describe how the elevation changes as you follow this path.
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