Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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4. The height of a hill is given by z = 100 – x² – 3y? – 2y. Assume that the positive r-axis points east and that the positive y-axis points north, and that distances along all axes are measured in feet. A hiker is standing on the hill at the point (2, 1, 91). (a) What is the hiker's maximum rate of ascent if he moves away from (2, 1, 91) in the direction of steepest ascent? Show all your work! (b) If the hiker moves away from (2, 1, 91) in a straight northeasterly direction, is he ascending or descending? At what rate?
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Transcribed Image Text:4. The height of a hill is given by z = 100 – x² – 3y? – 2y. Assume that the positive r-axis points east and that the positive y-axis points north, and that distances along all axes are measured in feet. A hiker is standing on the hill at the point (2, 1, 91). (a) What is the hiker's maximum rate of ascent if he moves away from (2, 1, 91) in the direction of steepest ascent? Show all your work! (b) If the hiker moves away from (2, 1, 91) in a straight northeasterly direction, is he ascending or descending? At what rate?
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