Hello, I was wondering if you guys can help me understanding this problem.
Find: Identify the surface, domain, range, plot the surface,and find the maximum point on the surface!
I know how to find the max point, if it's in 2D , just take the derivative and set it equal to zero. But how can I do it in 3D?
Thanks for your time,
[ for plotting, I am not sure, If I plot it in x, y I get the upper half of an ellipse, that mean in 3D it will be quadrant of an ellipse shape! ]
So, That's correct?
the domain is all real x, y, z such that (11-x^2-y^2+4*x+2*y) >= 0
Range: f(x,y) >= 0
= - (X - 2)2 + 4 - (Y - 1)2 + 1 + 11 =..... 16
So, Max point is (2, 1, 4 )