SOLUTION: find the linear approximation of 2.04^5 using binomial theorem

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Question 978848: find the linear approximation of 2.04^5 using binomial theorem
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2By%29%5E5=x%5E5%2B5x%5E4y%2B10x%5E3y%5E2%2B10x%5E2y%5E3%2B5xy%5E4%2By%5E5
%282%2By%29%5E5=32%2B5%2816%29y%2B10%288%29y%5E2%2B10%284%29y%5E3%2B10y%5E5%2By%5E5
%282%2By%29%5E5=32%2B80y%2B80y%5E2%2B40y%5E3%2B10y%5E4%2By%5E5
Linear approximation in y would be just the first y term,
%282%2B0.04%29%5E5=32%2B90%280.04%29=32%2B3.2=35.2
Compare to 2.04%5E5=35.33059