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Posted by on Tuesday, March 13, 2012 at 6:33pm.

Use a linear approximation (or differentials) to estimate the given number.

radical (99.4)

  • Calculus. - , Tuesday, March 13, 2012 at 7:02pm

    √99.4 = √(100-.6)

    The slope of y=√x is 1/2√x
    at x=10, slope is .05

    so, a linear approximation is

    ∆y/.6 = .05
    ∆y = .03
    y-∆y = 10-.03 = 9.97

    check: √99.4 = 9.96995

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