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Integrate the function (x² + y²)³ over the region E that is bounded by the æy plane below and above by the paraboloid 6 – 6x? – 6y² using cylindrical coordinates. (æ² + y³) dV = dzdrdo where A D %3D E = F and G(z, r, 0) The value of the integral is // I (x² + ? y²) dV =

Integrate the function (x² + y²)³ over the region E that is bounded by the æy plane below and above by the paraboloid 6 – 6x? – 6y² using cylindrical coordinates. (æ² + y³) dV = dzdrdo where A D %3D E = F and G(z, r, 0) The value of the integral is // I (x² + ? y²) dV =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 12E
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Integrate the function (x² + y²) over the region E that is bounded by the ryY plane below and above by the paraboloid 6 – 6x? – 6y² using cylindrical coordinates. F (2² + g*)} aV = [ 1. G(z,r, 0) dzdrd® E where A = B : C D= E = F and G(z, r, 0) The value of the integral is (x² + y²) dV
Transcribed Image Text:Integrate the function (x² + y²) over the region E that is bounded by the ryY plane below and above by the paraboloid 6 – 6x? – 6y² using cylindrical coordinates. F (2² + g*)} aV = [ 1. G(z,r, 0) dzdrd® E where A = B : C D= E = F and G(z, r, 0) The value of the integral is (x² + y²) dV
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