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8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z axis gives elevation, the y axis points north, the x axis east).Correct notation is required, units are not (13 points) (a) If you hike from the given point in the direction of = (3,4) are you going uphill or down? At what rate? (b) From the given point, in what direction is the steepest climb? (c) Using the graph of f(x,y) with the point (2,1,82) shown, explain and illustrate why your answers above are reasonable (or not).

8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z axis gives elevation, the y axis points north, the x axis east).Correct notation is required, units are not (13 points) (a) If you hike from the given point in the direction of = (3,4) are you going uphill or down? At what rate? (b) From the given point, in what direction is the steepest climb? (c) Using the graph of f(x,y) with the point (2,1,82) shown, explain and illustrate why your answers above are reasonable (or not).

Calculus: Early Transcendentals
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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8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z axis gives elevation, the y axis points north, the x axis east).Correct notation is required, units are not (13 points) (a) If you hike from the given point in the direction of = (3,4) are you going uphill or down? At what rate? (b) From the given point, in what direction is the steepest climb? (c) Using the graph of f(x,y) with the point (2,1,82) shown, explain and illustrate why your answers above are reasonable (or not).
Transcribed Image Text:8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z axis gives elevation, the y axis points north, the x axis east).Correct notation is required, units are not (13 points) (a) If you hike from the given point in the direction of = (3,4) are you going uphill or down? At what rate? (b) From the given point, in what direction is the steepest climb? (c) Using the graph of f(x,y) with the point (2,1,82) shown, explain and illustrate why your answers above are reasonable (or not).
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