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Linearize f(x) = 14 -x for a = 3 and use it to approximate the value of : 1.6. L(x) =The vertical displacement y (in cm) of the end of an industrial robot arm for each cycle is y = 3t - - tan 0.2t, where t is the time (in s). Find its vertical velocity for t = 19s. Its vertical velocity for t = 19s is cm/s. (Round to the nearest tenth as needed.)For a certain electric circuit, the current (in A) is given by R i = 3.91 e - 78.6t sin 191t, where t is the time (in s). Find the expression for di dt C L di dt ( Round to one decimal place as needed.)Power P is the time rate of change of work W. Find the equation for the power in a circuit for which W = 4 sin -5t. P =