I'm a little confused with this problem.
Find the Cartesian equation of the parametric surface: [2cos(t)cos(s), 3sin(s), sin(t)cos(s)]
Find eqn. of the tangent plane when S = 0, t = pi/2
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I'm a little confused with this problem.
Find the Cartesian equation of the parametric surface: [2cos(t)cos(s), 3sin(s), sin(t)cos(s)]
Find eqn. of the tangent plane when S = 0, t = pi/2
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
Write r = 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 compute N = dr/ds x dr/dt