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The displacement of a structure is defined by the following equation for a damped oscillation:
y = 9e-kt cos wt
where k = 0.7 and w = 4.
(a) Use the graphical method to make an initial estimate of the time required for the displacement to decrease to 3.5.
(b) Use the Newton-Raphson method to determine the root to es = 0.01%.
(c) Use the secant method to determine the root to es = 0.01%.
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