Pre Calculus 2416 Name________________________ Cumulative Review V

advertisement
Pre Calculus 2416
Cumulative Review V
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.
I) Determine the number of triangles that exist for the given information.
1) a=10, b=12, A=50º
2) a=7, b=10, c=13
3) C=40º, c=15, a=15
4) A=43º, a=8, c=12
5) A=50º, B=60º, c=14
6) a=14, b=32, c=75
II) Solve each triangle. If 2 triangles exist, solve both. Round to 2 decimal places.
1) a=16, b=12, c=25
2) a=13, b=20, C=110º
3) a=14, A=23º, b=33
III) A ship sails at 40 knots for 2 hours at N32ºE then turns to a heading of S70ºE at the
same speed for 1 hour. Find the bearing and distance required to sail back to port.
IV) Given that f ( x)  9  x 2 and g ( x) 
f
2x
find the domain of f g and
.
x 1
g
V) If log 2 5  2.322 and log 2 3  1.585 , evaluate the following without using change of
base.
1) log 2 0.3
2) log 2 12
VI) Write and expression for the apparent nth term of:
1) -1, 4, 9, 14,…
2) 12,24,48,96,…
VII) Find the sum, if possible.
5
1)
 5  3
i1
i

20
2)
  4i  7 
i 1
3)
 3 
i 0
2 i
5
Download