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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 02 Pure Mathematics QP & MS June 2024

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1. (a) Using the definition of sinhx in terms of exponentials, prove that 4sinh3 x + 3sinh x  sinh 3x (2) (b) Hence solve the equation sinh 3x = 19sinh x giving your answers as simplified natural logarithms where appropriate. 2 (5) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS ARE

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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 02
Pure Mathematics QP & MS June 2024

, Number Number




Further Mathematics
■ ■


Advanced
PAPER 2: Core Pure Mathematics 2




.
Turn over


P75683A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/

,1. (a) Using the definition of sinh x in terms of exponentials, prove that

4 sinh3 x + 3sinh x  sinh 3x




DO NOT WRITE IN THIS AREA
(2)

(b) Hence solve the equation

sinh 3x = 19 sinh x

giving your answers as simplified natural logarithms where appropriate.
(5)




DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA




2
■■■■

, Question 1 continued
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA




(Total for Question 1 is 7 marks)

3
■■■■ Turn over

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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 01, 2,3,3B,3C,3D,,4A,4C and 4D, Core Mathematics, Pure Mathematics,Further Statistics 1, Further Statistics and Further Mechanics 2 QP & MS June 2024
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