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The family of functions known as bumpy spheres or sometimes referred as wrinkled spheres, are used to mathematically model the tumor growth in the medical research field. The family of

the bumpy spheres are given in spherical coordinates by: \rho(\theta, \phi)=1+\frac{1}{5} \sin (a \theta) \sin (b \phi) where both a and b are positive integers and considered as parameters. Different values of a and b lead to different graphs and volumes. For instance,the bumpy sphere graphed on the left is represented by the function: \rho(\theta, \phi)=1+\frac{1}{5} \sin (13 \theta) \sin (7 \phi) 1) Graph the function by setting either a = 0 orb= 0. Describe the obtained figure and explain why you obtained that figure. Save the graph and include it into your project paper!

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