Hyperbolic functions and their graphs

Hyperbolic functions and their graphs Quiz

Spec 8.1 · Edexcel A-Level Further Maths: Quiz

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  1. 1. What is the range of sinh⁡x\sinh x?

    • A. y≥0y\ge0
    • B. y≥1y\ge1
    • C. −1<y<1-1<y<1
    • D. all real yy

  2. 2. Find the value of cosh⁡(ln⁡2)\cosh(\ln2).

    • A. 34\frac34
    • B. 54\frac54
    • C. 52\frac52
    • D. 32\frac32

  3. 3. As x→∞x\to\infty, tanh⁡x\tanh x tends to

    • A. 00
    • B. ∞\infty
    • C. 11
    • D. −1-1

  4. 4. Which of these is an even function?

    • A. sinh⁡x\sinh x
    • B. tanh⁡x\tanh x
    • C. xcosh⁡xx\cosh x
    • D. cosh⁡x\cosh x

  5. 5. Which expression equals tanh⁡x\tanh x?

    • A. e2x−1e2x+1\frac{e^{2x}-1}{e^{2x}+1}
    • B. e2x+1e2x−1\frac{e^{2x}+1}{e^{2x}-1}
    • C. ex+1ex−1\frac{e^x+1}{e^x-1}
    • D. 1−e−x2\frac{1-e^{-x}}{2}

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