Download 1. Find the limit if it exists, or prove it does not exist: lim 2x2 3x2 +

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13.3, 14.1 - 14.2
Name:
1. Find the limit if it exists, or prove it does not exist:
2x2
(x,y)→(0,0) 3x2 + 4y 2
lim
2. Draw the set of points for which the following function is continuous:
g(x, y) =
ln(x + y)
y−3
3. Find the length of the curve from 0 ≤ t ≤ π/4:
r(t) = cos ti + sin tj + ln(cos t)k
13.3, 14.1 - 14.2
Name:
4. Sketch the graph of the following plane:
f (x, y) = 10 − 4x − 5y
5. Draw at least 4 level curves for the function f (x, y) = ln(x2 + 4y 2 )
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