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nts, in a line, or in a circle? sphere intersects the xz-plane ? sphere intersects the yz-plane ?

nts, in a line, or in a circle? sphere intersects the xz-plane ? sphere intersects the yz-plane ?

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−5)^2+(y−4)^2+(z−3)^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 yz-plane ? The sphere intersects the xy-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 x-axis ? The sphere intersects the z-axis ? The sphere intersects the y-axis ?
Transcribed Image Text:(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 yz-plane ? The sphere intersects the xy-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 x-axis ? The sphere intersects the z-axis ? The sphere intersects the y-axis ?
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