homework help > math > calculus q&a board > topic: 1-8 help i will rate as a life saver if expained well...

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posted by  MoOzY on 8/26/2009 11:33:57 AM  |  status: Closed  |  Earned Karma: 135

1-8 help i will rate as a life saver if expained well, thanks

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Question Details:

Find an equation of the sphere that passes through the origin and whose center is (2, 9, 2).

= 0
Note that you must put everything on the left hand side of the equation and that we desire the coefficients of the quadratic terms to be 1
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Oracle
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(adu)
posted by velixy on 8/26/2009 11:39:33 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:
Find an equation of the sphere that passes through the origin and whose center is
 
(2, 9, 2).
r=   =
(x-2)2 + (y-8)2 + (z-2)2 = 89    ANSWER
ADU
Oracle
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posted by Kingle on 8/26/2009 5:39:58 PM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
The sphere center at a point has the equation  of the form

now we have the point that is the center of the sphere desired therefore

now in order to find d we are given that the sphere passes through the

origin which is the point







    ====>  

   is the desired equation

we can expand the equation to show that there is a 1 as the coefficients of the quadratic terms





  is the expanded form of the equation
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