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Consider the sphere (x − 4)² + (y − 3)² + (z − 5)² = 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xz-plane? The sphere intersects the xy-plane? The sphere intersects the yz-plane? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two points, or in a line? The sphere intersects the y-axis? The sphere intersects the z-axis? The sphere intersects the x-axis? at zero points

Consider the sphere (x − 4)² + (y − 3)² + (z − 5)² = 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xz-plane? The sphere intersects the xy-plane? The sphere intersects the yz-plane? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two points, or in a line? The sphere intersects the y-axis? The sphere intersects the z-axis? The sphere intersects the x-axis? at zero points

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the sphere (x − 4)² + (y − 3)² + (z − 5)² = 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xz-plane? The sphere intersects the xy-plane? The sphere intersects the yz-plane? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two points, or in a line? The sphere intersects the y-axis? The sphere intersects the z-axis ? The sphere intersects the x-axis ✓? Submit answer at zero points at one point at two points in a line
Transcribed Image Text:Consider the sphere (x − 4)² + (y − 3)² + (z − 5)² = 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xz-plane? The sphere intersects the xy-plane? The sphere intersects the yz-plane? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two points, or in a line? The sphere intersects the y-axis? The sphere intersects the z-axis ? The sphere intersects the x-axis ✓? Submit answer at zero points at one point at two points in a line
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