Section 12.8

Section 12.8 - E is the solid in the first octant that lies...

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12/9/08 7:46 PM Section 12.8 Page 1 of 2 http://www.webassign.net/v4cgiblmickle@ncsu/student.pl?c=20081210004632blmickle@ncsu15278239 Section 12.8 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 15 out of 15 Due: Friday, October 31, 2008 10:06 PM EDT Description Triple Integrals in Cylindrical and Spherical Coordinates The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 12.8.02.] 2/2 points Sketch the solid whose volume is given by the integral. (Do this on paper. Your teacher may ask you to turn in this work.) Evaluate the integral. 21.9911 22 2. [SCalcCC2 12.8.04.] 2/2 points Sketch the solid whose volume is given by the integral. (Do this on paper. Your teacher may ask you to turn in this work.) Evaluate the integral. 14.6608 14.7 3. [SCalcCC2 12.8.08.] 2/2 points Evaluate the following where
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Unformatted text preview: E is the solid in the first octant that lies beneath the paraboloid z = 1 - x 2- y 2 . 12/9/08 7:46 PM Section 12.8 Page 2 of 2 http://www.webassign.net/v4cgiblmickle@ncsu/student.pl?c=20081210004632blmickle@ncsu15278239 .0571 0.0571 4. [SCalcCC2 12.8.14.] 5/5 points (a) Find the volume of the region E bounded by the paraboloids z = x 2 + y 2 and z = 36 - 3 x 2- 3 y 2 . 509 509 (b) Find the centroid of the region E in part (a). ( , , 15 15 ) 5. [SCalcCC2 12.8.18.] 2/2 points Use spherical coordinates. Evaluate the following where E is the solid that lies between the spheres x 2 + y 2 + z 2 = 1 and x 2 + y 2 + z 2 = 4 in the first octant. 1.73e6 1.74e+06 6. [SCalcCC2 12.8.20.] 2/2 points Use spherical coordinates. Find the volume of the solid that lies within the sphere x 2 + y 2 + z 2 = 4, above the xy-plane, and below the following cone. 11.8 11.8...
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Section 12.8 - E is the solid in the first octant that lies...

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