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Unformatted text preview: 2 θ = 1 and identity 2 cos(2 θ ) = cos 2 θsin 2 θ in Table 22 from the text produce the identity sin 2 θ = 1 2 (1cos(2 θ )) ConFrm numerically. 5. Consider an unforced, undamped second order di±erential 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( ω t ). Determine ω in terms of the di±erential equation coe²cients a and b . 1 6. The following measurements were made of the continuoustime signal x ( t ) = a cos( bπtc ) + 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
 Cos, Input/output

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