AQA A-level FURTHER MATHEMATICS Paper 1 May 2023

AQA


A-level
FURTHER MATHEMATICS
Paper 1

May 2023

, 2
Do not write


Answer all questions in the spaces provided. outside the
box




1 Find the number of solutions of the equation tanh x = cosh

x Circle your answer.

[1 mark]

0 1 2 3




2 The diagram below shows a locus on an Argand diagram.

Im




O 2 Re




–3




Which of the equations below represents the locus shown above?

Circle your answer.
[1 mark]

|z — 2 + 3 i |= 2 |z + 2 — 3 i |= 2 |z — 2 + 3 i |= 4 |z + 2 — 3 i |= 4




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, 3
Do not write
1 outside the
3 The matrix A = box
2 represents a transformation.
0 1

Which one of the points below is an invariant point under this transformation?

Circle your answer.
[1 mark]

(1, 1) (0, 2) (3, 0) (2, 1)




4 The solution of a second order differential equation is f (t)

The differential equation models heavy damping.

Which one of the statements below could be true?

Tick () one box.
[1 mark]


f (t) = 2e—t cos (3t) + 5e—t sin (3t)

f (t) = 3e—t + 4te—t

f (t) = 7e—t + 2e—2t

f (t) = 8e—t cos (3t — 0.1)




Turn over for the next question




Turn over

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