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b. The triple integral in Cartesian coordinates JIT »z dv that gives the value of FIRST octant bounded by :-x' +1 and y = 2-x. Use dV = dy dx dz . where S is the solid in the %3D

b. The triple integral in Cartesian coordinates JIT »z dv that gives the value of FIRST octant bounded by :-x' +1 and y = 2-x. Use dV = dy dx dz . where S is the solid in the %3D

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 20E
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9. SET-UP ONLY the following multiple integrals Sketch the region/solid of integration. a. The iterated integral when the order of integration is interchanged for the double integral J.J, 8(x, y) dy dx b. The triple integral in Cartesian coordinates xyz dV that gives the value of FIRST octant bounded by z-x' +1 and y = 2 – x . Use dV = dy dx dz where S is the solid in the ) The triple integral in Cylindrical coordinates с. ( that gives the volume of the solid that lies under the surface --9-x² - y², above the xy-plane, and cut by the cylinder * +* -s d. The triple integral in Spherical coordinates that gives the volume of the solid bounded below the plane : z = 0, enclosed by the cone * + y* = z* and the sphere x² + y² + z? - 20
Transcribed Image Text:9. SET-UP ONLY the following multiple integrals Sketch the region/solid of integration. a. The iterated integral when the order of integration is interchanged for the double integral J.J, 8(x, y) dy dx b. The triple integral in Cartesian coordinates xyz dV that gives the value of FIRST octant bounded by z-x' +1 and y = 2 – x . Use dV = dy dx dz where S is the solid in the ) The triple integral in Cylindrical coordinates с. ( that gives the volume of the solid that lies under the surface --9-x² - y², above the xy-plane, and cut by the cylinder * +* -s d. The triple integral in Spherical coordinates that gives the volume of the solid bounded below the plane : z = 0, enclosed by the cone * + y* = z* and the sphere x² + y² + z? - 20
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