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Please help! Use linear approximation to estimate the following quantity. Choose a value of a to produce a small error. Square root 52.?

Science & Mathematics by Anonymous 2018-07-18 22:34:01

Social Science

Please help! Use linear approximation to estimate the following quantity. Choose a value of a to produce a small error. Square root 52.?

4 answers

  • Anonymous

    √49 = 7 √54.76 = 7.4 (3/5.76)(.4) = .208 Approx 7.208

  • Anonymous

    Write sort(52) = sort(49+3) Take 49 out. You get 7 (1+3/49)^(1/2) Expand it in binomial series and keep the first term. = 7 (1+ 1/2 *3/49)=7*(1+0.0.31)=7.217 You can add higher order terms to get more accuracy.

  • Anonymous

    7 + 3 / ( 2 x 7 )

  • Anonymous

    Hint: f(x) + hf'(x) ≈ f(x+h) f(x)=√x , x= 49 , x+h=52

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