Posted by **mark** on Sunday, October 5, 2008 at 3:31pm.

Let C be the curve which is the intersection of the half-cone S1 = {(x,y,z)|z=sqrt(x^2 + y^2} and the paraboloid S2 = {(x,y,z)|2z=3-x^2-y^2}. Find C.

a)Make a 3-D sketch to show S1, S2, and C

b) Show that at each point on C the normals to these two surfaces are perpendicular to each other.

## Answer This Question

## Related Questions

- calc - Let C be the curve which is the intersection of the half-cone S1 = {(x,y,...
- Math - Consider the paraboloid z=x^2+y^2. The plane 3x-2y+z-7=0 cuts the ...
- Math - Consider the paraboloid z=x^2+y^2. The plane 3x-2y+z-7=0 cuts the ...
- Calculus 3 - If the curve of intersection of the parabolic cylinder y = x^2 and ...
- Calc 3 - Find parametric equations for the tangent line to the curve of ...
- Calc 3 - Find parametric equations for the tangent line to the curve of ...
- Calculus - I'm having trouble with the following problem: Find the volume of the...
- Calc - Find an expression for the function whose graph is the given curve. The ...
- calc 3 - Find parametric equations for the tangent line to the curve of ...
- Calculus - A cone is inscribed in a sphere of radius a, centred at the origin. ...

More Related Questions