Assignment #11
Nicole Mosteller
EMAT 6680

Question #1:  This investigation into polar equations of the form

will be a collection of pictures that establish a pattern in the graphs of the polar equations 
when the values of a, b, and k are altered.



This graph is what I consider the basic for of the polar equation.
By altering a, b, and k, we will see the changes that occur to this basic picture.

Investigation:  How does the value of k effect the graph of the polar equation?

                    

                    

Investigation:  How does the value of b effect the graph of the polar equation?





Investigation:  How does the value of a effect the graph of the polar equation?

                    

                    

                    

Investigation:  What happens when the values of a and b are equal?

Investigation:  How does this set of polar equations compare to the polar equations in the form
?

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