Use the graphical method to make an initial estimate of the

Question

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 e_s = 0.01%.

(c) Use the secant method to determine the root to e_s = 0.01%.