(b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round the answer to two decimal places.) (c) In which direction is the slope largest? Ⓒ (-1.8, -2.4) O (1.8, 2.4) O (1.8, -2.4) O (-1.8, 2.4) What is the rate of ascent in that direction? At what angle above the horizontal does the path in that direction begin? (Round the answer to two decimal places.) O
(b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round the answer to two decimal places.) (c) In which direction is the slope largest? Ⓒ (-1.8, -2.4) O (1.8, 2.4) O (1.8, -2.4) O (-1.8, 2.4) What is the rate of ascent in that direction? At what angle above the horizontal does the path in that direction begin? (Round the answer to two decimal places.) O
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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
Transcribed Image Text:(b) If you walk northwest, will you start to ascend or descend?
O ascend
descend
At what rate? (Round the answer to two decimal places.)
(c) In which direction is the slope largest?
O(-1.8, -2.4)
O (1.8, 2.4)
O (1.8, -2.4)
O (-1.8, 2.4)
What is the rate of ascent in that direction?
At what angle above the horizontal does the path in that direction begin? (Round the answer to two decimal places.)
O

Transcribed Image Text:Suppose you are climbing a hill whose shape is given by the equation below, where x, y, and z are measured in meters, and you are standing at a point with coordinates
(180, 120, 1194). The positive x-axis points east and the positive y-axis points north.
2 = 1500 -0.005.x² -0.01y²
(a) If you walk due south, will you start to ascend or descend?
ascend
O descend
At what rate?
(b) If you walk northwest, will you start to ascend or descend?
ascend
descend
At what rate? (Round the answer to two decimal places.)
(c) In which direction is the slope largest?
O(-1.8, -2.4)
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