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Math 150a Midterm #3. November 14, 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. List critical points for the following functions on the indicated intervals.
a)
f(x) = cos(2x), x (0, );
b)
f(x) = x, x (, );
c)
f(x) = x +
1
x
, x = 0.
2
2. Sketch the graph of the function f(x) following the steps listed below:
