Given the function y(t) = cos(4+ sin(3t)) and the mesh t = to + ik, where...

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Given the function y(t) = cos(4+ sin(3t)) and the mesh t₁ = to + ik, where to = - pai/3 determine the backward finite difference for the first derivative of y with step size k = at mesh point i = 10. 21 At the same point, also calculate the exact first derivative y'(t.). Calculate the absolute value of the error of the finite difference approximation at the point ti. 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 (d) If we were to divide the step size by 10, the error will be approximately multiplied by a factor of Given the function y(t) = cos(4+ sin(3t)) and the mesh t₁ = to + ik, where to = - pai/3 determine the backward finite difference for the first derivative of y with step size k = at mesh point i = 10. 21 At the same point, also calculate the exact first derivative y'(t.). Calculate the absolute value of the error of the finite difference approximation at the point ti. 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 (d) If we were to divide the step size by 10, the error will be approximately multiplied by a factor of

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