Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) ( frac{x^6}{x^2-4} ) (b) ( frac{x^4}{(x^2-x+1)(x^2+3)^2} )
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So, the partial fraction decomposition of the function \( \frac{x^{6}}{x^{2}-4} \) will be in the form of: \[ \frac{x^{6}}{x^{2}-4} = \frac{A}{x-2} + \frac{B}{x+2} \] where A and B are constants to be determined. Show more…
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Write out the form of the partial fraction decomposition of the function (as in Example 7). Do not determine the numerical values of the coefficients. (a) $\frac{x^{6}}{x^{2}-4}$ (b) $\frac{x^{4}}{\left(x^{2}-x+1\right)\left(x^{2}+2\right)^{2}}$
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Write out the form of the partial fraction decomposition of the function (as in Example 7). Do not determine the numerical values of the coefficients. (a) $ \dfrac{x^6}{x^2 - 4} $ (b) $ \dfrac{x^4}{(x^2 - x + 1)(x^2 + 2)^2} $
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