A structure is subjected to dynamic lateral loads due to the action of vibrating machinery. Find the time at which the s

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A structure is subjected to dynamic lateral loads due to theaction of vibrating machinery. Find the time at which the structurefirst reaches a distance of 0.6 cm. The equation that theoreticallydefines the position of the structure is:
f(t)=[sin(3t)+0.2t2]e-0.5t
where t is the time (in seconds) and f(t) is the distance. Usethe initial approximations: t0 = 2.4 yt1 = 2.6 to generate 5 iterations that are obtainedby applying the secant method. Then indicate the approximate valueof time. Use rounding arithmetic to 4 digits.