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Let r be the distance from the origin to the point (x, y, z) in 3-D space, so that = x + y + z. Evaluate the Laplacian of r, that is, dx r, as a function of r alone. dz? Adding these three second partials, we obtain dx r = dz + + dy

Let r be the distance from the origin to the point (x, y, z) in 3-D space, so that = x + y + z. Evaluate the Laplacian of r, that is, dx r, as a function of r alone. dz? Adding these three second partials, we obtain dx r = dz + + dy

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let r be the distance from the origin to the point (x, y, z) in 3-D space, so that = x + y + z. Evaluate the Laplacian of r, that is, dx r, as a function of r alone. dz? Adding these three second partials, we obtain dx r = dz + + dy
Transcribed Image Text:Let r be the distance from the origin to the point (x, y, z) in 3-D space, so that = x + y + z. Evaluate the Laplacian of r, that is, dx r, as a function of r alone. dz? Adding these three second partials, we obtain dx r = dz + + dy
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