The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motions=4 sin(t) + 2 cos(xt), where t is measured in seconds. (Round your answers to two decimal places.)(a) Find the average velocity during each time period.(i)[1, 2]6x cm/s(ii) [1, 1.1]-10.40x cm/s(iii) [1, 1.01]-12.37x cm/s(iv) [1, 1.001]-12.55x cm/s(b) Estimate the instantaneous velocity of the particle when t = 1.-12.57cm/s

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