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Math22lO Quiz 5 (Sections 12.1, 12.2) Name Summer, 2012 Date Dylan Zwick 7/l0i2 / Instructions: Please show all of your work as partial credit will be given where appropriate, and there may be no credit given for problems where there is no work shown. All answers should be completely simplified, unless otherwise stated. 1. Let (a) Sketch the surface defined by the above equation: (b) Sketch the level curves for f(x,y)=k where I (c) What the the domain? Domain: All JR k=0,1,2,3 2. Find the slope of the tangent to the curve of intersection of the surface z=4x2+3xy2_2xy+sin(x)+3y2 and the plane x0 at the point (0,2,12) y_/ . (o t 1 ) oft)- (o) (1 slope 3. Fortheabovesurface (a) LL1 = z= + 2 _ 2xy+sin(-.x)+ 3xy 4x 3y2 calculate: öz --— ox yLZy oq) Answer: 82 (b) z oy Answer: 6 Answer: 1 z OxOy 02 (c)