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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. x2 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