MTH 234 Study Guide - Midterm Guide: Proctor, Tangent Space, Level Set
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3 . (a) (8 points) find the linearization of the function f (x, y) = 4x ln (xy 1) 1 at the point (2, 1). 2. (b) (4 points) use the linearization to approximate f (2. 02, 1. 2). 3xy x2 + 3y2 (b) (8 points) lim (x,y) (0,0) Feb. 22nd 2016: (12 points) find an equation of a plane containing the points: a(1, 1, 2), b(3, 2, 1), and c( 1, 1, 2), (10 points) parametrize the curve given by the intersection of the surfaces shown below. Feb. 22nd 2016: (12 points) given that u = i j + 2k and v = 3i k nd the proju(v), (12 points) compute. Mth 234: (16 points) consider the function f (x, y) = (a) sketch the domain of f. Feb. 22nd 2016 (b) sketch the level curve f (x, y) = 1 y.
