
#1
Mar1106, 04:14 PM

P: 68

Question: Let C be the trace of the paraboloid [tex]z=9x^2y^2[/tex] on the plane [tex]x=1[/tex]. Find parametric equations of the tangent line L to C at the point P(1,2,4).
What I did: [tex]z=8y^2, x=1[/tex] [tex]f_{y}=2y[/tex] [tex]f_{y}(1,2)=4[/tex] So the parametric equations of L are: [tex] x=1 [/tex] [tex] y=2+t [/tex] [tex] z=44t [/tex] Am I doing this correct? Thanks. 


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