mt1_solu.pdf - Name Student No Calc 3 Midterm 1 No credit...

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Name:Student No:Calc 3 Midterm 1No credit for correct answer w/o necessary steps. Write on the exam very concisely1. Show that the functionf(x,y) = (y3+x2)/(x2+y2) has no limit at (0,0).Evaluate f on x-axis and y-axis separately to find out that they have different limits at (0,0). Seethe text for details2. Find equation for the plane that passes through the point (u,v,w) and contains the line with
3. Find an equation for the surface consisting of all pointsPfor which the distance fromPto they-axis is half of the distance fromPto the xz-plane. Identify the surface.

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