1. 2. 3. x-y2 By taking the limit along two different directions, show that lim(x,y) (0,0)...

 

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1. 2. 3. x-y2 By taking the limit along two different directions, show that lim(x,y) (0,0) x + y does not exist. Use polar coordinates to find lim(x,y) (0,0) (x+y) 4xy 2 z in If z = f(x, y) with x = x(t, s) 2t + 3s and y = y(t, s) = 3t+s, express atas terms of partial derivatives of z with respect to x and y. = Find the differential of w= f(x, y, z) = xy cos z. Find the equation of the tangent plane to the level set of w = = f(x, y, z) that passes through (x, y, z) = (2, 3, ). 1. 2. 3. x-y2 By taking the limit along two different directions, show that lim(x,y) (0,0) x + y does not exist. Use polar coordinates to find lim(x,y) (0,0) (x+y) 4xy 2 z in If z = f(x, y) with x = x(t, s) 2t + 3s and y = y(t, s) = 3t+s, express atas terms of partial derivatives of z with respect to x and y. = Find the differential of w= f(x, y, z) = xy cos z. Find the equation of the tangent plane to the level set of w = = f(x, y, z) that passes through (x, y, z) = (2, 3, ).