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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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Keep in mind -

Coordinates: (60, 40, 966)

a) west

b) south east, NOT EAST

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.
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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