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Furthermore, explore polynomial and rational functions, including turning points, zeros, multiplicities, and volume calculations in this comprehensive assignment. This aspect of Polynomials Massachusetts Institute Of Technology plays a vital role in practical applications.
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Furthermore, solution. The characteristic polynomial is r2 8r 7 . We want the roots. One reason we wrote out the polynomial was to remind you that you can nd roots by factoring it. This one factors as (r 1) (r 7) so the roots are r 1 and r 7, with corresponding exponential solutions are x1 (t) et and x2 (t) e7t . This aspect of Polynomials Massachusetts Institute Of Technology plays a vital role in practical applications.
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Moreover, solution. The characteristic polynomial is r2 8r 7 . We want the roots. One reason we wrote out the polynomial was to remind you that you can nd roots by factoring it. This one factors as (r 1) (r 7) so the roots are r 1 and r 7, with corresponding exponential solutions are x1 (t) et and x2 (t) e7t . This aspect of Polynomials Massachusetts Institute Of Technology plays a vital role in practical applications.
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