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Calculus I                                                                       Quiz #3                              September 16, 2002

Name____________________                              R.  Hammack                                     Score ______
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(1) In this problem,    and   .

(a)   


(b)   

You can simplify the above answer further, but don't forget to FOIL!!   





(2)  Find the equation of the line that passes through the points and . Please put your final answer in slope-intercept form, and simplify as much as possible.

slope = m = = -3

Using the fact we know the line has slope -3 and passes through the point (3,1), the point-slope formula gives





(3)
(a)   



(b)  Find all solutions of the equation   .  Please support your work with a picture involving the unit circle.
For x to be a solution of this equation, the point x on the unit circle must have a y-coordinate of -1/2. The two such points with radian measure between 0 and 2π are amd
The solutions of the equation are thus , where n is an integer.