Consider a force field F = yi+zj+k that acts along a path from foothill A to the top B as in the following figure. The surface of the mountain is the graph of the function = 1-2²-y². Find the work done by F along this path. Hint: Is F a gradient vector field? What are the coordinates of A and B? x=1-x-y² &

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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Consider a force field F = yi+zj+k that acts along a path from foothill A to the top
B as in the following figure. The surface of the mountain is the graph of the function z = 1-2²-y².
Find the work done by F along this path.
Hint: Is F a gradient vector field? What are the coordinates of A and B?
B
Xx=1-x²-y²
y
Transcribed Image Text:T Consider a force field F = yi+zj+k that acts along a path from foothill A to the top B as in the following figure. The surface of the mountain is the graph of the function z = 1-2²-y². Find the work done by F along this path. Hint: Is F a gradient vector field? What are the coordinates of A and B? B Xx=1-x²-y² y
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