Find a vector function that represents the curve of intersection of the two surfaces:
1) The cone z= sqrt(x^2 + y^2) and the plane z=1+y
2) The paraboloid z=4x^2 + y^2 and the parabolic cylinder y=x^2
I do have the anser to number 1 from the back of the book, but i need to know how to do it and the example problem in the book basically told me this: Find the intersection, change into paramatric equations for x, y , z, bam, you have an answer.... I'm not sure how to do the first two steps...
Bah... help, please!!!
edit: spelling
1) The cone z= sqrt(x^2 + y^2) and the plane z=1+y
2) The paraboloid z=4x^2 + y^2 and the parabolic cylinder y=x^2
I do have the anser to number 1 from the back of the book, but i need to know how to do it and the example problem in the book basically told me this: Find the intersection, change into paramatric equations for x, y , z, bam, you have an answer.... I'm not sure how to do the first two steps...
Bah... help, please!!!
edit: spelling