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Find a vector function that represents the curve of intersection of the two surfaces 
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#1
Jan3113, 02:00 AM

P: 36

1. The problem statement, all variables and given/known data
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. 2. Relevant equations z = sqrt( x^2 + y^2) and the plane z = 1+y. 3. 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^21)/2; z = 1+(t^21)/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? 


#2
Jan3113, 09:03 AM

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