Pre Calculus 2416
Cumulative Review VII
Name________________________
Due Date____________ Pd___
All work is to be completed on separate paper. It is EXPECTED that your work will represent
complete, neat and organized solutions to the stated problems.
1. A bicycle is moving at 24 mph and the diameter of the wheel is 26 inches. Find the angular
speed in radians per minute.
2. Determine all of the zeros of f ( x)  2 x5 - 3x4 - 5x3 - 15x2 - 207 x  108 if two of the zeros
are 3i and 4 .
3. Given f ( x)  9 x3  27 x 2  54 x  73 , determine if a zero exists in the interval
[3, 1] without graphing. Explain your reasoning. (see section 2.2)
4. Find the 3rd term of (2 x  5)10 .
5. Evaluate:
a.
15
 14 
b.  
5
C4
6. Determine the domains of the following:
a. g ( x)  log3 (2 - x)
b.
f
7. Determine an inverse function for f ( x) 
g
 x  when g ( x) 
4 x - 2 and f ( x) 
7
x -3
2
2x  3
, including domain.
x2
8. The Cerrito Lindo travels at a speed of 40 knots from Fort Lauderdale on a course of
N 75 W for 2 hours and then changes to a course of S 35 W and travels for 1.5 hours.
Determine the distance and bearing from Fort Lauderdale to the boat.
9. Find the sum of the first 100 terms of the sequence:
an  3n  4
10. If a = 12 and B = 28 determine the intervals or values of b that will produce the indicated
number of triangles. Round values to two decimal places.
a) Two
b) one
c) zero