lim (x.y)(0,0) x+y x*-y2 does not exist. (a) Show that (b) Find the slope of the...

 

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lim (x.y)¬(0,0) x²+y² x*-y2 does not exist. (a) Show that (b) Find the slope of the surface z = x²y cos(xy) at the point (1/2, 1) along y-direction. (c) The temperature distribution on a metal plate in the xy-plane is given by T(x, y) = x²ye*Y. Find the rate at which temperature changes if you start at the point (1,2) and move right parallel to the x-axis. lim (x.y)¬(0,0) x²+y² x*-y2 does not exist. (a) Show that (b) Find the slope of the surface z = x²y cos(xy) at the point (1/2, 1) along y-direction. (c) The temperature distribution on a metal plate in the xy-plane is given by T(x, y) = x²ye*Y. Find the rate at which temperature changes if you start at the point (1,2) and move right parallel to the x-axis.