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Do the following tasks using Mathematica.
 
 
(a) Plot the curves in a single graph for   and shade the bounded region only. Then find the area of the bounded region using Area [] function
(b) Find the length of the entire curve  
Hint: Determine the Domain and Range of the function first, Do not use the built-in ArcLength [] function.
(c) Find the surface area obtained by rotating the curve
i. about x axis.
ii.   about y axis.

Please upload the Mathematica file (.nb)

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