1. (Sections 2.12,3.2,7.5,7.8) Consider the R2 - R function defined by f (x, y) = 4y2 - 7 and let C be the contour curve of f at level 1. (a) Find a Cartesian equation for the tangent line ( to C at the point (1, v2). (3) (b) Sketch the contour curve C together with the line ( in R2. Show all intersections with the axes. ( 4) (c) Find an equation for the tangent plane V to the graph of f in R3 at the point (2, 2, -) ( 4)