mintygreen
05-02-2010, 07:35 PM
Hi there,
I'm really not sure what to do with this problem:
Find an equation of the largest sphere that passes through the points (-1,1,4) and is such that each of the points (x,y,z) inside the sphere satisifies the condition
x^2+y^2+z^2 < 136+ 2(x+2y+3z)
I assume I take x^2 + y^2 + z^2 as f(x,y,z) and 2x + 4y + 6z = -136 as g(x,y,z)=k ? But I'm not sure how to deal with the inequality or how to set it so the sphere passes through the point. I'd really appreciate some help!
Thanks,
Ella
I'm really not sure what to do with this problem:
Find an equation of the largest sphere that passes through the points (-1,1,4) and is such that each of the points (x,y,z) inside the sphere satisifies the condition
x^2+y^2+z^2 < 136+ 2(x+2y+3z)
I assume I take x^2 + y^2 + z^2 as f(x,y,z) and 2x + 4y + 6z = -136 as g(x,y,z)=k ? But I'm not sure how to deal with the inequality or how to set it so the sphere passes through the point. I'd really appreciate some help!
Thanks,
Ella