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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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