AQA Further AS Paper 1 2022 June — Question 1 1 marks

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
Year2022
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicHyperbolic functions
TypeExpress hyperbolic in exponential form
DifficultyEasy -1.8 This is a direct recall question requiring only knowledge of the definition sinh x = (e^x - e^(-x))/2, making 2sinh x = e^x - e^(-x). It's a multiple-choice question with no calculation or problem-solving required, making it significantly easier than average A-level questions.
Spec4.07a Hyperbolic definitions: sinh, cosh, tanh as exponentials

1 Which of the following exponential expressions is equivalent to \(2 \sinh x\) ?
Circle your answer. \(\mathrm { e } ^ { x }\) \(\mathrm { e } ^ { x } + \mathrm { e } ^ { - x }\) \(\mathrm { e } ^ { x } - \mathrm { e } ^ { - x }\) \(\mathrm { e } ^ { - x }\)

Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
\(e^x - e^{-x}\)B1 (AO1.1b) Circles the correct answer
**Question 1:**

| Answer | Marks | Guidance |
|--------|-------|----------|
| $e^x - e^{-x}$ | B1 (AO1.1b) | Circles the correct answer |

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1 Which of the following exponential expressions is equivalent to $2 \sinh x$ ?\\
Circle your answer.\\
$\mathrm { e } ^ { x }$\\
$\mathrm { e } ^ { x } + \mathrm { e } ^ { - x }$\\
$\mathrm { e } ^ { x } - \mathrm { e } ^ { - x }$\\
$\mathrm { e } ^ { - x }$

\hfill \mbox{\textit{AQA Further AS Paper 1 2022 Q1 [1]}}