2. Suppose F = (P(x, y, z), Q(x, y, z), R(x, y, z)) and the functions P, Q and R have continuous second order partial derivatives. Prove the identity div (curl F) = 0.
2. Suppose F = (P(x, y, z), Q(x, y, z), R(x, y, z)) and the functions P, Q and R have continuous second order partial derivatives. Prove the identity div (curl F) = 0.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
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![2. Suppose F = (P(x, y, z), Q(x, y, z), R(x, y, z)) and the functions P, Q
and R have continuous second order partial derivatives. Prove the identity
div (curl F) = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fc235f5-c6fd-4e1c-bac8-7d394d2e8123%2Fbee78f65-e61b-4e66-ada9-75214121079a%2F4vgqzdi_processed.png&w=3840&q=75)
Transcribed Image Text:2. Suppose F = (P(x, y, z), Q(x, y, z), R(x, y, z)) and the functions P, Q
and R have continuous second order partial derivatives. Prove the identity
div (curl F) = 0.
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