hello, Can you please help me ?

1. (10 points) Use synthetic division to find the 12. (10 points) Find all solutions to one decimal oblique asymptote of the rational function. place f (z ) = 3a2 - 5x + 4 A 30 B a 12 b 17 x - 3 2. (10 points) Use Descartes Rule of Signs to find the maximum number of positive and negative 13. (10 points) Find all solutions. real roots. Find a rational root, then factor com- pletely over the complex numbers. 28 = 1 6x3 - 11x2+ 15x - 4 14. (10 points) Find the angle between the vectors. 3. (10 points) Find the exact solution. 37 = 51-x v = (3, -5, 1, 3) w = (3, 2, 4, -1) 4. (10 points) Find all solutions. log2 x + log2(x - 3) = 2 15. (10 points) Find the coordinates of vertices and foci, calculate the eccentricity, and sketch. 5. (10 points) A central angle 0 passes through the point (-24, 7) (2 - 1)2 + ( y + 1 ) 2 4 9 = 1 Find sin 0, cos 0 16. (10 points) Find an equation of the conic. 6. (10 points) Find tan 0 if 0 is in Quadrant III. csc 0 = -2 e = 2 7. (10 points) Identify A, w, T, $ and sketch the v1 = (3, -2) graph over one period. U2 = (-5, -2) 5 cos(3x - T) 17. (10 points) Solve by finding the inverse matrix. 8. (10 points) Find the ratio as a function of u. cos (tanu) 9. (10 points) Use the sum and difference formula 18. (10 points) Find the partial fraction decomposi- to find the exact value. tion. 2x2 - 3 COS 12 (a + 1) (2+ 2) (2+3) 10. (10 points) Find all solutions on [0, 27). 19. (10 points) Expand. 2 sin(70) = -1 (2x - 32)4 11. (10 points) Find all solutions on [0, 27) to three decimal places. 20. (10 points) Find the coefficient, [a4617]. tan 0 = -5/3 (3a - 6) 21