Calculus I
Test #1
September 26, 2001
Name____________________ 
R.  Hammack
Score _______


(1)
(a)   sin 30π =
  
(b)    cos [Graphics:Images/1F01sol_gr_1.gif]=
(c)   Find all values of  θ  for which  cos θ = [Graphics:Images/1F01sol_gr_3.gif]

(2) In this problem   0 < x < [Graphics:Images/1F01sol_gr_6.gif] and   sin x = [Graphics:Images/1F01sol_gr_7.gif]
(a)    cos x  =

(b)    tan x =

 


  
(3) In this problem  f(x) = [Graphics:Images/1F01sol_gr_13.gif]  and   g(x) = x - 4.
  
  (a)    ([Graphics:Images/1F01sol_gr_14.gif])(x)  =
  
  
  (b)   (f º g)(x) =
  
  (c)   (g º g)(x) =

 

 

(4) This problem concerns the function  f(x) = [Graphics:Images/1F01sol_gr_20.gif]

(a)    f(x + 2) =  



(b)    Find the domain of f.  Be sure to show your work.



(c)   Write f as a composition of two functions.



(d)     [Graphics:Images/1F01sol_gr_27.gif]f(x) =  



(e)    [Graphics:Images/1F01sol_gr_33.gif]f(x) =  



  (f)    [Graphics:Images/1F01sol_gr_40.gif] f(x) =   


(5) Calculate the limits.
  
(a)    [Graphics:Images/1F01sol_gr_43.gif](3[Graphics:Images/1F01sol_gr_44.gif]- 4x + π) =

(b)    [Graphics:Images/1F01sol_gr_46.gif][Graphics:Images/1F01sol_gr_47.gif]


(c)     [Graphics:Images/1F01sol_gr_50.gif][Graphics:Images/1F01sol_gr_51.gif] =     

(d)   [Graphics:Images/1F01sol_gr_55.gif][Graphics:Images/1F01sol_gr_56.gif] =

(e)   [Graphics:Images/1F01sol_gr_57.gif][Graphics:Images/1F01sol_gr_58.gif] =   

(f)   [Graphics:Images/1F01sol_gr_68.gif][Graphics:Images/1F01sol_gr_69.gif] =