UNIVERSITY OF THE WEST INDIES-OPEN CAMPUS MATH0900 - 2022/23 SEMESTER 2 Tutorial – (Assignment 2) - Individual Assignment (Based on UNITS 5, 6, 7, 8 and 9) and B = 3 1 1) If A = 25 -3 1 Find:- a) A² -5 -4 b)|A|= c) Adjoint A d) B-1 (4,2,2,5mks) 2) a) Using matrix method solve the following simultaneous equations 4x + 3y = 10 4x-3y = 14 b) Find the determinant of the following matrix (8 marks) 2 -1 -6 4 -2 1 5 0 c) If told |A| = 40 find the possible value(s) for X A = 3x (2 x x+2) 2x 3) Given that f(x) = 2x+3 g(x) = 5-2x and h(x) = 4x - 7 (5 marks) (5 marks) 3 Find:-i) f(-4)= ii) g[h(4)] = iii) f[h(3)] = iv) hof(x) v) g‍¹(-3)= (2, 3, 3, 3, 4 marks) 4. Given the functions g(x)=2x-1 3x-4 find g¨¹(x) (5 marks) 5. a) Two numbers when multiplied equals 48. If the difference of the two numbers is 2 and x represents the larger number a) Represent the information given in equation form b) Express as a quadratic equation c) Solve the quadratic equation to find possible values for x d) If told that x is a positive numbers, what are the values of the two original numbers? (8 marks) b) Solve the following quadratic equations ( hint use the quadratic formula) 8x²-2x=15 (5 Marks) 6. Find the equation of the line joining the points (3, 5) and (-4, 2). (5 marks) 7. Find the equation of the line passing through the point (1, 8) and perpendicular to the line 2y = 8+ 3x (5 marks) 8) Give Log 2 = 0.301, log 3 = 0.477 and log 5 = 0.699 using the information given Find:- Log 4/15 b) Log 0.375 (6 marks) Note Tutorial is out of 80 Marks but will contribute to 40% of your course work marks. (easy calculations your score out of 80 divided by 2 is your course work score out of 40)