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FURTHER MATHS

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STATE THE LINEAR APPROXIMATION FOR: (2.04)raise to power 5

  • FURTHER MATHS -

    There are lots of possible approximations. If we have

    y = x^5, the slope of the tangent line is
    y' = 5x^4

    At (2,32), the slope is 80

    so, if a(x) is the line,
    a(x) = 80(x-2)+32
    a(2.04) = 80(.04)+32 = 35.2

    In fact, 2.04^5 = 35.33

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