Ask your own question, for FREE!
Mathematics
OpenStudy (anonymous):

Can anyone help me about this problem..thank you already Find the points on the ellipsoid (x^2)/(5^2)+(y^2)/(2^2)+(z^2)/(10^2)=1 that are closest and farthest away from the point (2,0,4).

6 years ago
OpenStudy (anonymous):

since the point is on the y = 0 can we just consider the cross section cutting the y = 0 ?

6 years ago
OpenStudy (anonymous):

i just want to say i'll try and help, i havent done anything like this before in school

6 years ago
OpenStudy (anonymous):

yes i know it's different than others

6 years ago
OpenStudy (anonymous):

ok i think we can use parametric equations to do it. i worked out the parametric eq for the ellipsoid by stretching the unit sphere. sphere: |dw:1338066190762:dw| \[x = \cos \phi \cos \theta \text{ , } y = \cos \phi \sin \theta \text{ , } z = \sin \phi\] so for the ellipsoid we get |dw:1338066364992:dw| \[x = acos \phi \cos \theta \text{ , } y = bcos \phi \sin \theta \text{ , } z = csin \phi\] which satisfies the Cartesian equation nicely now i'll try to find the distances

6 years ago
Can't find your answer? Make a FREE account and ask your own question, OR you can help others and earn volunteer hours!
Latest Questions
eviant: Math help pls
2 hours ago 15 Replies 0 Medals
katkit25: if you pollute you ruin homes of creatures such as
6 hours ago 4 Replies 0 Medals
Val050301: What theorem or postulate can be used to justify that HIG=FIE?
7 hours ago 2 Replies 1 Medal
johnnn: https://prnt.sc/n1x9uo
1 hour ago 4 Replies 1 Medal
eviant: Math help pls
8 hours ago 10 Replies 1 Medal
eviant: Math help pls
22 hours ago 5 Replies 1 Medal
eviant: Math help pls
22 hours ago 16 Replies 1 Medal
eviant: Math help pls
22 hours ago 9 Replies 3 Medals