(a) Write a formula for the function that is harmonic in the unit disk and agrees with f(e) (b) Find the exact value of this harmonic function at the origin. e cos(0) sin(0) on the boundary.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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4. (a) Write a formula for the function that is harmonic in the unit disk and agrees with
f(0) = e cos(0) sin(6) on the boundary.
(b) Find the exact value of this harmonic function at the origin.
Transcribed Image Text:4. (a) Write a formula for the function that is harmonic in the unit disk and agrees with f(0) = e cos(0) sin(6) on the boundary. (b) Find the exact value of this harmonic function at the origin.
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