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In Matlab, thank you 2. (a) For f(x)=1/(1+2x2) and h in the range [101,102,,109], use your firstorderD, secondorderD, and fourthorderD to approximate f()=4/(1+22)2. Plot the

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In Matlab, thank you

2. (a) For f(x)=1/(1+2x2) and h in the range [101,102,,109], use your firstorderD, secondorderD, and fourthorderD to approximate f()=4/(1+22)2. Plot the errors versus h, using both plot and loglog (two plots). Each plot should have a legend. Which axes choice is best and why? What do you observe from the better of the two plots? (b) Make a table which lists h in the first column, the first-order approximation in the second column, and the error in the first-order approximation in the third column. Report h in scientific notation with a minimum number of displayed digits. Report errors in absolute value using scientific notation keeping 3 digits past the decimal. Approximations should be reported in fixed-point nonscientific notation with a full field of digits (say 14 past the decimal point)

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