Question: Please solve all questions in clear paper Question 1 (6 points): Use High Accuracy Central Difference Approximation to evaluate the first, second and third derivatives

Please solve all questions in clear paper

Please solve all questions in clear paper Question 1 (6 points): Use

Question 1 (6 points): Use High Accuracy Central Difference Approximation to evaluate the first, second and third derivatives of the following function at x = 0.5; you can use a step size of h = 0.15. Please write all your steps. f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2 Q 2 (4 points): Consider the following data: X 0 0.16 0.32 0.48 0.64 0.8 f(x) 0.2 1.29692 1.74339 3.18602 3.18193 0.232 Use Simpson's 3/8 rule to evaluate the integral from x=0.16 to x=0.64. Please write all your steps

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