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Math 250 Midterm #2. March 19, 2003
Attention! Please, note that this is the closed book test. You are not allowed to use graphing
calculator. Simple calculators are allowed. Please, show all important steps in you solution but do
not make your solution excessively long.
1. (15pt) The equation of the surface in cylindrical coordinates is
r2
 4r cos + z2
= 5.
Write the corresponding equation in Cartesian coordinates.
2
2. (20pt) Check if the following function is continuous at (0, 0):
f(x, y) =
x2
y2
x4 + y4
, f(0, 0) = 0.
