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5. Let f(x, y, z) = -k x²+y²+z² with k a constant. A. Calculate the maximum rate of increase of f(x, y, z) at the point (3,2,√3). B. Calculate the work moving an object from point A(-1, √2, 2) to point B (3, 2, √3) along 2k(x,y,z) every path by the vector field F = ||(x,y,z)||4*

5. Let f(x, y, z) = -k x²+y²+z² with k a constant. A. Calculate the maximum rate of increase of f(x, y, z) at the point (3,2,√3). B. Calculate the work moving an object from point A(-1, √2, 2) to point B (3, 2, √3) along 2k(x,y,z) every path by the vector field F = ||(x,y,z)||4*

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 18P
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5. Let f(x, y, z) = -k x²+y²+z² with k a constant. A. Calculate the maximum rate of increase of f(x, y, z) at the point (3,2,√3). B. Calculate the work moving an object from point A(-1, √2, 2) to point B (3,2, √3) along every path by the vector field F = 2k(x,y,z) ||(x,y,z)||4*
Transcribed Image Text:5. Let f(x, y, z) = -k x²+y²+z² with k a constant. A. Calculate the maximum rate of increase of f(x, y, z) at the point (3,2,√3). B. Calculate the work moving an object from point A(-1, √2, 2) to point B (3,2, √3) along every path by the vector field F = 2k(x,y,z) ||(x,y,z)||4*
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