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+ sur x,y,z ; s aolng 1n erp A If you'd like to see the level curves on the surface, you can add the following

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+ sur x,y,z ; s aolng 1n erp A If you'd like to see the level curves on the surface, you can add the following command: hold on; contour3(x,y,z, 'color' , 'k') Problem 2. Limit of functions. a) Determine whether the following function has a limit at the point (0, 0): 1 _ em2_y2 m2_y2 f (it, y) = b) Show that the surface dened by the function _ 2 2 9(m,y)=vw2+y2 9" +74 does not have a tangent plane at the point (07 0), while the function Mac, y) = ($2 + y?) 6932742 has a tangent plane at this point. Problem 3. Consider the function ram/>4 $5322 (9% Wake) . 7:42 PM ll ' ' ENG A I! Q Search . 4 us 9 '1" D 2023709719 9

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