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Assume the function f is defined asf(x)=3.2cosx8.7sinx f(x)=3.2cosx8.7sinx Use the corresponding derivative rules to find the second derivativef(x) f(x)and evaluate that second derivative at x

  • Assume the function f is defined asf(x)=3.2cosx8.7sinx
  • f(x)=3.2cosx8.7sinx
  • Use the corresponding derivative rules to find the second derivativef(x)
  • f(x)and evaluate that second derivative at x = -9.4.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 estimatef(x)
  • f(x)at x = -9.4 for four different values of the mesh sizes
  • h = 0.2
  • h = 0.1
  • h = 0.05
  • 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.

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