A Level Mathematics

X^2 graph when coefficients are positive - answer-U shaped graph Area of a trapezium - answer-1/2(a+b)h Solving Quadratics with Unknowns - answer-Use the discriminant to structure another quadratic & solve this Solving Quadratic Inequalities - answer-Get zero on one side, Solve the Inequality, Sketch & reason "Less than" or "Greater than" is shown by what line on a graph? (strict Inequalities) - answer-A dotted Line A "less than or equal to" or vice versa is show...

2 Algebra and functions 2.1 Understand and use the laws of indices for all rational exponents. am × an = am + n, am ÷ an = am − n, (am)n = amn m The equivalence ofan and n am should be known. 2.2 Use and manipulate surds, including rationalising the denominator. Students should be able to simplify algebraic surds using the results 2 ( x y=and ( 2.3 Work with quadratic functions and their graphs. The discriminant of a quadratic function, including the conditions f...

Answer ALL the questions. Write your answers in the spaces provided. Leave blank 1 a) Given that f(x) = x3 – 4x2 – 3x + 7, find f '(x). (2) b) Hence find the values of x for which f(x) is a decreasing function, giving your answer in the form {x : x > a}  {x : x < b} where a and b are real numbers to be found. (3) 2 A helicopter flies between 3 locations, A, B and C, which are positioned such that AB = 9 km, AC = 5 km...