Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
Question
2. Consider the function f : R2 R defined by
f(x) = ||x||³,
where ||x|| = √√x² + x².
(i) Compute the gradient gradƒ(x).
(ii) Compute the Laplacian Af(x).
[10 Marks]
[15 Marks]
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Transcribed Image Text:2. Consider the function f : R2 R defined by f(x) = ||x||³, where ||x|| = √√x² + x². (i) Compute the gradient gradƒ(x). (ii) Compute the Laplacian Af(x). [10 Marks] [15 Marks]
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