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
Get full Socratic AI guidance on this question — free in the Applaa desktop app
Appy Buddy guides you step-by-step toward the answer without giving it away. Type your attempt and get instant, mark-scheme-aware clues that teach you to think like an examiner.
Join Applaa Community
Create your own games, learn AI concepts, program interactive apps, and share with a kid-safe community approved by parents. Free forever on Windows and Mac.
Available for Windows and macOS · COPPA Compliant
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.
While Other Kids Get an AI Head Start, Is Yours Falling Behind?
Give your child the same AI app-building, exam prep and tutoring edge — free for the first month, no credit card needed.
Join 10,000+ students building their first AI-powered apps with Applaa