Which of the following statements is incorrect, assuming that all second-order partial derivatives exist and are continuous? Assume that "o* can stand for eithier a scalar or a vector, depending on context. O an fis a scalar function, then the curl of the gradient of f must be 0. O br s is a scalar function, then the divergence of the gradient of / must be 0. O Cifeis a vector field, then the divergence of the curt of F must be 0. Od. More than one of the other choices. Oe None of the other choices.
Which of the following statements is incorrect, assuming that all second-order partial derivatives exist and are continuous? Assume that "o* can stand for eithier a scalar or a vector, depending on context. O an fis a scalar function, then the curl of the gradient of f must be 0. O br s is a scalar function, then the divergence of the gradient of / must be 0. O Cifeis a vector field, then the divergence of the curt of F must be 0. Od. More than one of the other choices. Oe None of the other choices.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:QUESTION 3
Which of the following statements is incorrect, assuming that all second-order partial derivatives exist and are continuous? Assume that "o" can stand for either a scalar or a vector, depending on context.
O a. If fis a scalar function, then the curl of the gradient of f must be 0.
O b.if f is a scalar function, then the divergence of the gradient of / must be
O Cifpis a vector field, then the divergence of the curt of F must be 0.
O d. More than one of the other choices.
O e. None of the other choices.
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