. The height of a hill is given by z = 100 – r2 – 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?

. The height of a hill is given by z = 100 – r2 – 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?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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