It is a two-sheeted hyperboloid.
If x, y, z are 3 non zero positive integers such that x+y+z = 8 and xy+yz+zx = 20, then What would be minimum possible value of x*y^2*z^2
The temperature on a unit sphere x^2 + y^2 + z^2 = 1, is given by a temperature distribution
T(x,y,z) = 50.(xy + yz)
What is the temperature difference between the coldest and warmest point on the sphere?
Find the area of the largest rectangle that will fit inside the region bounded by y = - x^2 +1 and y = x^2 ?