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 i1 i 20 2) 4i 7 i 1 3) 3 i 0 2 i 5