compute x^2,y^2 and z^2

Show

x^2 + 4z^2 = 4cos^2(s)

Then show x^2 + 4z^2 + (4/9)y^2 = 4

This is your surface

Writer= 2cos(t)cos(s)i+ 3sin(s)j+ sin(t)cos(s)k

at s = 0 t =pi/2 you have the point (0,0,1)

To find the normal computeN= dr/ds x dr/dt