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Math 250 Midterm #2. October 14, 2005
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) Find the parametric equations of the tangent line to the curve
r(t) = sin(t) i + (1  t)2
j +
t2 + 1 k
at the point t = 0.
2
2. a) (10pt) Evaluate the two dimensional limit
lim
(x,y)(1,1)
x2
 2xy + y2
