### Consider the region ( R ) in the ( x y )-plane bounded by ( left(x^{2}+y^{2}right)^{2}=9left(x^{2}-y^{2}right) ). (a) Convert the equation to polar coordinates. Use a graphing utility to graph the equation. (b) Use a double integral to find the area of the region ( R ). ( A= ) (c) Use a computer algebra system to find the volume of the solid

Consider the region ( R ) in the ( x y )-plane bounded by ( left(x^{2}+y^{2}right)^{2}=9left(x^{2}-y^{2}right) ). (a) Convert the equation to polar coordinates. Use a graphing utility to graph the equation. (b) Use a double integral to find the area of the region ( R ). ( A= ) (c) Use a computer algebra system to find the volume of the solid