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March 28, 2017

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Suppose that a function f(125)=52 and f'(125)=4. Estimate f(123.5)

  • Calc - ,

    If f(x0)=y0, and f'(x0)=y', then an approximation to f(x0+h)=f(x0)+h*y'
    Thus,
    x0=125,
    h=-1.5
    f(x0)=52
    y'=4

    f(123.5)
    =f(125-1.5)
    =f(125)+(-1.5)(4)
    =52-1.5*4
    =46 (approx.)

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