2. (a) Find the divergence and curl of the vector field Ğ(x, y, z) = (x + y + 5z, 4x – 2y², z³ – 3y). (b) Use the result in item 2(a) to determine whether there is a function and z such that x(x, y, z) = x + y + 5z, Oy (x, y, z) 4x – 2y², and of three variables x, ₂(x, y, z) = z³ – 3y. Y, =
2. (a) Find the divergence and curl of the vector field Ğ(x, y, z) = (x + y + 5z, 4x – 2y², z³ – 3y). (b) Use the result in item 2(a) to determine whether there is a function and z such that x(x, y, z) = x + y + 5z, Oy (x, y, z) 4x – 2y², and of three variables x, ₂(x, y, z) = z³ – 3y. Y, =
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 11P
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