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Unformatted text preview: 2 = 1 and identity 2 cos(2 ) = cos 2 sin 2 in Table 22 from the text produce the identity sin 2 = 1 2 (1cos(2 )) ConFrm numerically. 5. Consider an unforced, undamped second order dierential equation, such as that describing the vibrating motion of a tuning fork or a weight hanging on the end of a perfect spring a d 2 dt 2 x ( t ) + bx ( t ) = 0 Consider the solution candidate x ( t ) = A cos( t ). Determine in terms of the dierential equation coecients a and b . 1 6. The following measurements were made of the continuoustime signal x ( t ) = a cos( btc ) + d for t > 0: (i) Frst maximum of 3.7 occurs at t = 0 . 4 seconds (ii) Frst minimum of1 . 3 occurs at t = 0 . 6 seconds Determine a , b , c , and d . ConFrm numerically. 2...
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 Spring '05
 JOHNSON

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