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hw7[1]

hw7[1] - Z ∞ e xt-t 3-t 2 x 2 d t for large positive x 4...

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MAE294B/SIO203B: Methods in Applied Mechanics Winter Quarter 2010 http://maecourses.ucsd.edu/mae294b Homework VII Due February 25, 2010. 1 Compute the ﬁrst term in the asymptotic expansion of Z 1 0 t e - xt 4 ( 1 - t ) 2 d t for large positive x . 2 Compute two terms in the asymptotic expansion of Z 0 e - x ( t 3 - 3 t 2 + 2 t ) d t for large positive x . 3 Compute the ﬁrst term in the asymptotic expansion of
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Unformatted text preview: Z ∞ e xt-t 3-t 2 / x 2 d t for large positive x . 4 Compute the ﬁrst term in the asymptotic expansion of Z ∞ cos [ x ( at 2-t )] cos [ x ( bt 2 + t )] d t for large positive x and a > b > 0. What happens as a → b ? 1...
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