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A property has been mapped, and the height above sea level is determined to be represented by the function: f(x, y) = 3+ 4x2 – 4xy + 4y?, relative to the centre of the property. At the location with a = 1, y = 1, a shed is to be placed. Determine the direction it should face to be facing down hill. a) Find the gradient vector: vf(x, y) =( b) Find the gradient vector at location (1,1): vf(1,1) =( c) What is the direction which is steepest going down the hill? Direction is ($

A property has been mapped, and the height above sea level is determined to be represented by the function: f(x, y) = 3+ 4x2 – 4xy + 4y?, relative to the centre of the property. At the location with a = 1, y = 1, a shed is to be placed. Determine the direction it should face to be facing down hill. a) Find the gradient vector: vf(x, y) =( b) Find the gradient vector at location (1,1): vf(1,1) =( c) What is the direction which is steepest going down the hill? Direction is ($

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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A property has been mapped, and the height above sea level is determined to be represented by the function: f(x, y) = 3+ 4x2 – 4xy + 4y?, relative to the centre of the property. At the location with a = 1, y = 1, a shed is to be placed. Determine the direction it should face to be facing down hill. a) Find the gradient vector: vf(x, y) =( b) Find the gradient vector at location (1,1): vf(1,1) =( c) What is the direction which is steepest going down the hill? Direction is ($
Transcribed Image Text:A property has been mapped, and the height above sea level is determined to be represented by the function: f(x, y) = 3+ 4x2 – 4xy + 4y?, relative to the centre of the property. At the location with a = 1, y = 1, a shed is to be placed. Determine the direction it should face to be facing down hill. a) Find the gradient vector: vf(x, y) =( b) Find the gradient vector at location (1,1): vf(1,1) =( c) What is the direction which is steepest going down the hill? Direction is ($
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