Plane Tangent to a Paraboloid.

**adkinsjr** · August 12th 2009, 01:55 PM

- I need to find at what point on te paraboloid $y=x^2+z^2$ is the tangent plane parallel to the plane $x+2y+3z=1$ .

I can handle most of this problem myself, but I need to know if this is the correct equation to start with:

$f(x,y,z)=x^2-y+z^2$

Then I would just apply:

$f_x(x_o,y_o,z_o)(x-x_o) + f_y(x_o,y_o,z_o)(y-y_o) +f_z(x_o,y_o,z_o)(z-z_o)=0$

Is this correct?

**luobo** · August 12th 2009, 05:24 PM

Originally Posted by adkinsjr

- I need to find at what point on te paraboloid $y=x^2+z^2$ is the tangent plane parallel to the plane $x+2y+3z=1$ .

I can handle most of this problem myself, but I need to know if this is the correct equation to start with:

$f(x,y,z)=x^2-y+z^2$

Then I would just apply:

$f_x(x_o,y_o,z_o)(x-x_o) + f_y(x_o,y_o,z_o)(y-y_o) +f_z(x_o,y_o,z_o)(z-z_o)=0$

Is this correct?

Should be very simple and direct. While this is correct, but not necessary to apply this.

Thread: Plane Tangent to a Paraboloid.

LinkBack

Thread Tools

Display

Plane Tangent to a Paraboloid.

Similar Math Help Forum Discussions

Point on paraboloid at which the tangent plane is parallel to plane

Intersection of paraboloid and plane

Question to do with volume of a solid between a paraboloid and a plane

Find a tangent plane horizontal to the xy plane?

Tangent Line of Elliptic Paraboloid

Search Tags