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calculus

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Determine an appropriate linear approximation of the function f(x)= the square root of x and use it to approximate the square root of 24.2. Write your answer in decimal form

  • calculus -

    f'=1/2 1/sqrtx

    linear approximation: f(24.2)=f(25)-1/2sqrt25*(dx)
    = 5-1/2*1/5*.8=5-.08=4.82

  • calculus -

    Steps above are correct just the answer is wrong because of wrong subtraction. real answer is 4.92

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