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Section 9.1 - 6.1644 6.16 2[SCalcCC2 9.1.08 3/3 points Find...

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12/9/08 7:39 PM Section 9.1 Page 1 of 2 http://www.webassign.net/[email protected]/[email protected] Section 9.1 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 20 out of 20 Due: Friday, August 29, 2008 10:01 PM EDT Description Three-Dimensional Coordinate Systems The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 9.1.04.] 12/12 points What is the projection of the point (2, 3, 5) on the xy -plane? ( 2 2 , 3 3 , 0 0 ) What is the projection of the point (2, 3, 5) on the yz -plane? ( 0 0 , 3 3 , 5 5 ) What is the projection of the point (2, 3, 5) on the xz -plane? ( 2 2 , 0 0 , 5 5 ) Draw a rectangular box with the origin and (2, 3, 5) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box. (Do this on paper. Your teacher may ask you to
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Unformatted text preview: 6.1644 6.16 2. [SCalcCC2 9.1.08.] 3/3 points Find the distance from ( 2 , 9 , -5 ) to each of the following. (a) the xy-plane 5 5 (b) the yz-plane 2 2 (c) the xz-plane 9 9 (d) the x-axis 10.2956 10.3 (e) the y-axis 12/9/08 7:39 PM Section 9.1 Page 2 of 2 http://www.webassign.net/[email protected]/[email protected] 5.3825 5.39 (f) the z-axis 9.2195 9.22 3. [SCalcCC2 9.1.16.] 2/2 points Find an equation of a sphere if one of its diameters has endpoints (2, 1, 4) and (4, 3, 10). (x-3)^2+(y-2)^2+(z-7)^2 (x-3)^2 + (y-2)^2 + (z-7)^2 = 11 4. [SCalcCC2 9.1.30.] 3/3 points Write inequalities to describe this region. The solid rectangular box in the first octant bounded by the planes x = 3 , y = 4 , and z = 5 . x 3 3 y 4 4 z 5 5...
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