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Assignment I X Written 1.pdf Document3 (2).pdf x Written Assignment 1 (1).pdf x Course Hero x + V X eclass.srv.ualberta.ca/pluginfile.php/10311117/mod_resource/content/2/MATH209-Assignment1.pdf : E Assignment I 1

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Assignment I X Written 1.pdf Document3 (2).pdf x Written Assignment 1 (1).pdf x Course Hero x + V X eclass.srv.ualberta.ca/pluginfile.php/10311117/mod_resource/content/2/MATH209-Assignment1.pdf : E Assignment I 1 / 1 - 260% + z=sqrt (x. 2+y. ~2) .*exp(-sqrt (x. 2+y . 2) ) ; surf (x, y, z) ; shading interp 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): f ( x, y ) = - 1 - ex2-y2 20 2 - 2/2 b) Show that the surface defined by the function g (x , y) = Vx2+y e -Va2 +yz does not have a tangent plane at the point (0, 0), while the function h(x, y) = (x2 +2) e-x2-y has a tangent plane at this point. Problem 3. Consider the function 13 C Rain Q Search W P x ENG 7:41 PM US 2023-09-19 1

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