MAT237Y1 Study Guide - Connected Space, Convex Set, Open Set

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27 Sep 2011
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2 u u ev is of class c , 1 g. 0 (b) [5 marks] suppose terms of x , y and the partial derivatives of f over x and y . yxf ys. 0 s x u t f x x t f y y t fs y f y. Assuming f is of class c , find. 2 y f x f y fs y f. 2 y s u t s f y u. 2: assume that the equation function of x and y , that is. F (a) [4 marks] evaluate in the direction of. Is the surface are tangent at the point a. Remark: two surfaces and at a to both surfaces coincide. e tangent to at the point. The normal to the surface normal to is. )2,2,1( and since it corresponds to is n =1. Hence the tangent planes coincide and the surfaces are tangent to.