5. Let D be the region bounded below by the cone z z = 2 – x? – y?. Convert these surfaces into cylindrical coordinates. Find the intersection of these two surfaces. Make a sketch of D. Set up a triple integral in cylindrical coordinates that gives the volume of D. You do not need to evaluate this integral. (Hint: In your setup, use the order of integration dz dr d0.) Va? + y? and above by the paraboloid

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5. Let D be the region bounded below by the cone z
z = 2 – x? – y?. Convert these surfaces into cylindrical coordinates. Find the intersection of
these two surfaces. Make a sketch of D. Set up a triple integral in cylindrical coordinates that
gives the volume of D. You do not need to evaluate this integral. (Hint: In your setup, use the
order of integration dz dr d0.)
Va? + y? and above by the paraboloid
Transcribed Image Text:5. Let D be the region bounded below by the cone z z = 2 – x? – y?. Convert these surfaces into cylindrical coordinates. Find the intersection of these two surfaces. Make a sketch of D. Set up a triple integral in cylindrical coordinates that gives the volume of D. You do not need to evaluate this integral. (Hint: In your setup, use the order of integration dz dr d0.) Va? + y? and above by the paraboloid
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