Math Additional Review Answer Key

Honors Pre-Calculus 1. Final Exam Review Additional Review Name: Find the area of PQR if q  6, r  7 , and  P  50 and find p . 1. Area PQR = _______ p = _______________ 2. The perimeter of a regular decagon is 240. Find its area. 2.)_______________________ 3. Find all other angles and sides of ΔABC if A = 59, a = 22, and b = 19. 3.)_______________________ 4. Two planes leave an airport at the same time. One flies 425 mph at N 5º W while the other flies 530 mph at N 67º E. How far apart are the planes after 3½ hours? 4.)_______________________ 5. Solve the following trig equation for 0,2  . 2  cos(2x)   cos x 6. 7. Suppose that sin A  5.)_______________________ 5 3   and sin B  where  A   and 0  B  . 7 5 2 2 Find sin( A  B) . 6.)_______________________ Change into polar form:  2 3  2i 7.)_______________________ 16  13   4,  3   8. Change into a  bi form: 9. Find: 10. Find 4  4i  in trigonometric form. 10.)______________________ 11. x2  x lim 2 x 1 x  1 11.)______________________ 12. lim 13. 4 x  5x 2 lim x    x  3 x  2  13.)______________________ 14. lim 2 4 x x 0 x 14.)______________________ 15. Find the slope of the curve at the given point: f ( x)  16. 17. 3 8.)_______________________  8i 9.)_______________________ 4 x 0 x 12.)______________________ x 7 2 1 x  5 x  3  at x  1 15.)______________________ 2 x f ( x)  5x3  2 x 2 Determine two numbers whose sum is 36 such that the product of the first and the cube of the second is a maximum. 2 1. 16.1 units ; p = 5.6 8. 2  2 3i 17.)______________________ 2. 4424.4 3. c = 24.6, C = 73.2º, B = 46.8º 4. 1987 miles 5.  6. 9. 2i, 3  i, 3  i f ' ( 2 )  _________ 16. 10. 1024 cis  20  6 6 35 11. 1 12. does not exist 13. 5 14. 1 15. 3 2 4 17 7.  4, 5   6  16. -34 17. 27 & 9