Given the function u(t)=sin(2-sin(4t)) and the mesh ti to + ik, where to म 4' determine the backward finite difference for the first derivative of u with step size k 71 20 at mesh point i = 1. At the same point, also calculate the exact first derivative u(t.). D Calculate the absolute value of the error of the finite difference approximation at the point t.. Work to at least 6 decimal places throughout and enter your answers to 2 decimal places. (a) Enter the finite difference approximation (b) Enter the exact derivative (c) Enter the absolute error

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