Find the simple closed curve of a given parameter which encloses a maximum area

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Do not reject this is the complete question, Find the simple closed curve of a given parameter which encloses a maximum area , do not answer using basic integral or calculus , gives the  advance answer , not copy anything from othersources 

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