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Litcyb
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Homework Statement
Find a vector function that represents the curve of intersection of the two surfaces:
The cone z = sqrt( x^2 + y^2) and the plane z = 1+y.
Homework Equations
z = sqrt( x^2 + y^2) and the plane z = 1+y.
The Attempt at a Solution
This problem can be solved as following using x as the parameter.
x^2+y^2 = z^2 = (1+y)^2 = 1+2y+y^2. => x^2 = 1 + 2y.
x=t; y = (t^2-1)/2; z = 1+(t^2-1)/2 = (t^2+1)/2
My question is, what if we use y as the parameter,
i get ,
y=t, x=(2t+1)^(1/2) z=t+1,
is this answer also correct?
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