Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

calc 3 help find points on the surface xy-z^2=1 that are closest to the origin

OpenStudy (anonymous):

so far, I've solved for z^2, and found g(x, y), which I plugged z^2 into and got g( x, y) = x^2+y^2+xy-1

OpenStudy (anonymous):

then from there, found that x and y are both 0, and when I plugged in those values into the original equation I got -z^2=1 which is where I'm currently stuck on

OpenStudy (anonymous):

well d^2= x^2+y^2+xy=1 then you solve for dg/dx = 2x+y=0 and dg/dy=2y+x=0 then you solve so you get x=0 and y=0 but when you plug it into the original equation xy-z^2=1 you get z^2 = -1 which doesn't work

OpenStudy (anonymous):

|dw:1342304961836:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!