A-Level MathematicsYear 2019Q12
page 08 MARKS 12. Two variables, x and y, are connected by the equation x y ab = . The graph of log4 y against x is a straight line as shown. x (0,-1) (3,8) log4 y O Find the values of a and b. 13. For a function, f, defined on the set of real numbers, , it is known that • the rate of change of f with respect to x is given by 2 3 16 11 x x − + • the graph with equation ( ) y f x = crosses the x-axis at (7,0). Express ( ) f x in terms of x. 14. The vectors u and v are such that • 4 = u • 5 = v • ( ) . 21 + = u u v Determine the size of the angle between the vectors u and v. 5 5 4
Paper Source:NH_Mathematics_all_2019.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)