1-) A scalar function changes in a region according to equation: f (r,0,z) = Ar"z – Brz" – Cz 2-2 z-5 a)Write your scalar function: Substitute the values A, B, C, m, n and write your scalar function. Take the values from the file, "values of A_B_C_m_n_ for each student.pdf" If you skip (a) and continue to solve problem without substituting the values, your solution WILL NOT be acсepted!! z axis R=3 b) Find the gradient of your scalar function in terms of r and z c) Find the divergence of the gradient of your scalar function in terms of r and z d) Using the cylindrical closed surface given in the figure, show that the gradient of your scalar function satisfies the divergence theorem.

1-) A scalar function changes in a region according to equation: f (r,0,z) = Ar"z – Brz" – Cz 2-2 z-5 a)Write your scalar function: Substitute the values A, B, C, m, n and write your scalar function. Take the values from the file, "values of A_B_C_m_n_ for each student.pdf" If you skip (a) and continue to solve problem without substituting the values, your solution WILL NOT be acсepted!! z axis R=3 b) Find the gradient of your scalar function in terms of r and z c) Find the divergence of the gradient of your scalar function in terms of r and z d) Using the cylindrical closed surface given in the figure, show that the gradient of your scalar function satisfies the divergence theorem.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 60E

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