A-Level MathematicsYear 2020Q1
2 1 The table below shows corresponding values of x and y for y = x x 1 + The values of y are given to 4 significant figures. x 0.5 1 1.5 2 2.5 y 0.5774 0.7071 0.7746 0.8165 0.8452 (a) Use the trapezium rule, with all the values of y in the table, to find an estimate for x x x 1 0 5 2 5 + ∫ d . . giving your answer to 3 significant figures. (3) (b) Using your answer to part (a), deduce an estimate for 9 1 0 5 2 5 x x x + ∫ d . . (1) Given that 9 1 0 5 2 5 x x x + ∫ d . . = 4.535 to 4 significant figures (c) comment on the accuracy of your answer to part (b). (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:9MA0_02_que_20201015.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)