Suppose you're climbing a hill whose shape is given by the equation: x? = = f(x,y)=1000- 200 100 Where x, y, and z are measured in meters, and you’re standing at a point with coordinates (60, 40, 966). The positive x-axis points east and the positive y-axis points north. (a) If you walk due west, will you start to ascend or descend and at what slope? (b) If you walk south east, will you start to ascend or descend and at what slope? (c) If you want to move up the hill the quickest, which direction should you travel? Your answer should be a sentence and include a vector.
Suppose you're climbing a hill whose shape is given by the equation: x? = = f(x,y)=1000- 200 100 Where x, y, and z are measured in meters, and you’re standing at a point with coordinates (60, 40, 966). The positive x-axis points east and the positive y-axis points north. (a) If you walk due west, will you start to ascend or descend and at what slope? (b) If you walk south east, will you start to ascend or descend and at what slope? (c) If you want to move up the hill the quickest, which direction should you travel? Your answer should be a sentence and include a vector.
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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Keep in mind -
Coordinates: (60, 40, 966)
a) west
b) south east, NOT EAST
Transcribed Image Text:Suppose you're climbing a hill whose shape is given by the equation:
x?
= = f(x,y)=1000-
200 100
Where x, y, and z are measured in meters, and you’re standing at a point with
coordinates (60, 40, 966). The positive x-axis points east and the positive y-axis
points north.
(a) If you walk due west, will you start to ascend or descend and at what slope?
(b) If you walk south east, will you start to ascend or descend and at what slope?
(c) If you want to move up the hill the quickest, which direction should you
travel? Your answer should be a sentence and include a vector.
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