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Find the linear approximation of the function
g(x) = fifth root(1 + x) at a = 0.
g(x)≈ 1+(x/5)
Correct: Your answer is correct.
Use it to approximate the numbers
fifth root (0.95) and fifth root (1.1)
(Round your answers to three decimal places.)

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Anonymous

  1. so, assuming that you have the linear function 1+x/5
    root(0.95) = root(1-.05) ≈ 1+(-.05)/5 = 1-.01 = 0.99
    root(1.1) = root(1+0.1) ≈ 1+0.1/5 = 1.02

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    Steve

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