- Assume the function f is defined as f (x) = 5cosx 4sinz - Use the corresponding derivative rules to find the second derivative f \" (2) and evaluate that second derivative at x = 1.7. Be sure your calculator is in radians mode. Note: To avoid round-off error, retain at least eight decimal places in your calculations. - Use the "central difference formula for the second derivative" to estimate f" (x) at x = 1.7 for four different values of the mesh sizes eo h=0.2 oh=01 e h=0.05 e h=0.025 Note: To avoid round-off error, retain at least eight decimal places in your functional evaluations, and retain the maximum possible number of decimal places in calculations of the central difference approximation. Use your calculated values to fill in this table: Calculate second derivatives: central difference _ error = approximation - h . . exact second derivative approximation exact value 0.2 0.1 0.05 0.025 Note: To avoid round-off error, retain the maximum possible number of decimal places in calculations of the error. Answer the following two questions: eo Does the error in the central difference approximation drop as the mesh size h is reduced? e As the mesh size h is reduced by a factor of 2, by what factor is the error in the central difference approximation reduced