A-Level MathematicsYear 2021Q14
34 14. A curve C has equation y = f(x) where f(x) = –3x 2 + 12x + 8 (a) Write f(x) in the form a(x + b) 2 + c where a, b and c are constants to be found. (3) The curve C has a maximum turning point at M. (b) Find the coordinates of M. (2) R l O x y M C Figure 3 Figure 3 shows a sketch of the curve C. The line l passes through M and is parallel to the x-axis. The region R, shown shaded in Figure 3, is bounded by C, l and the y-axis. (c) Using algebraic integration, find the area of R. (5) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:8MA0_01_que_20211007.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)