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Calculus I                                                                 Diagnostic Quiz                                             September 3, 2002

Name____________________                                 R.  Hammack                                                   Score ______
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(1)
(a) Find all solutions:

  
  (x + 2)(x - 3) = 0
  Solutions x = -2 and x = 3.

(b) Find all solutions:    
It doesn't factor, so we use the quadratic formula.
Solutions are


(c) Find all solutions:    
For this equation to be true, either x=0 or cos(x)=0.
The values of x that make cos(x) equal to 0 are , where k is an integer.
Thus, this equation has infinitely many solutions:
x = 0, and , where k is an integer.

(d) Find all solutions:   
  


Solutions x=0 and x=3


(2)   
(a)   
(b)   0


(3) Sketch the graph of   
To find the x intercept, set y=0 and solve for x. You get x=6.
To find the y intercept, set x=0 and solve for y. You get y=-3.