Multivariable Calculus - Sphere

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Homework Help Overview

The discussion revolves around finding the equation of a sphere centered at a specific point with a given radius, specifically focusing on normalizing the equation so that the coefficient of x² is 1.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants attempt to apply the formula for the equation of a sphere and express confusion regarding the normalization requirement. Some question the correctness of their equations and the interpretation of normalization.

Discussion Status

There are multiple attempts to clarify the problem, with some participants expressing uncertainty about the normalization aspect. Guidance has been offered regarding the coefficient of x², but no consensus has been reached on the overall understanding of the problem.

Contextual Notes

Participants note issues with the completeness of their equations and the specific requirements of the homework prompt, particularly regarding the normalization of the equation.

Larrytsai
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Homework Statement



Find the equation of the sphere centered at (-7,6,7) with radius 2. Normalize your equations so that the coefficient of x^2 is 1.

Homework Equations


(x-xo)^2 + (y-yo)^2 + (z-zo)^2=r


The Attempt at a Solution



(x-(-7))^2 + (y-6)^2 + (z-7)^2 = 2

it saids to normalize my equation... and i do not understand what that means.
 
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Larrytsai said:

Homework Statement



Find the equation of the sphere centered at (-7,6,7) with radius 2. Normalize your equations so that the coefficient of x^2 is 1.

Homework Equations


(x-xo)^2 + (y-yo)^2 + (z-zo)^2=r

Check the equation. It is not right.

ehild
 
oops i forgot the r^2 in n e case the formula is not my problem, I am having troubles understandanding the last part of the question.
 
The coefficient of x^2 is 1 already, as (x+7)^2= x^2 + 14x + 49.

ehild
 

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