Answer to Question #350686 in Calculus for Dudu

Question #350686

Consider the R²-R function defined by f(x,y)=x²-2x-y and let c be the contour curve of f at level 0.

1.find a Cartesian equation for the tangent line L to C at the point (-1,3).

2.sketch the contour curve C together with the line L in R².show all intersections with the axes.

3.find an equation for the tangent plane V to the graph of f in R³ at the point (-1,3,0).

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