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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- Oct 6th 2009, 07:37 PMDairyDudeFinding Cartesian equation of parametric surface.
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 - Oct 7th 2009, 02:03 AMCalculus26
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**= d**r**/ds x d**r**/dt