Consider the region in the plane bounded by the graph ofthe equation x2 y22 9x2 y2. a)
Chapter 14, Problem 37(choose chapter or problem)
Consider the region R in the xy-plane bounded by the graph of the equation
\((x^2 +y^2)^2 = 9(x^2 -y^2)\)
(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.
(c) Use a computer algebra system to determine the volume of the solid over the region R and beneath the hemisphere \(z=\sqrt{9-x^2-y^2}\).
Text Transcription:
(x^2 +y^2)^2 = 9(x^2 -y^2)
z=sqrt9-x^2 -y^2
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