Assume the function f is defined as f x 5cosx 4sinx Use the corresponding derivative...

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Calculus

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Assume the function f is defined as f x 5cosx 4sinx Use the corresponding derivative rules to find the second derivative f x and evaluate that second derivative at x 1 7 Be sure your calculator is in radians mode 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 h 0 2 h 0 1 h 0 05 h 0 025 Answer the following two questions Does the error in the central difference approximation drop as the mesh size h is reduced As the mesh size h is reduced by a factor of 2 by what factor is the error in the central difference approximation reduced

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