3. Write a program to apply the formula f(x+2h)-2f(x+h)+2f(x-h)-f(x-2h) 2h 1 1 to approximate the...

  

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3. Write a program to apply the formula f(x+2h)-2f(x+h)+2f(x-h)-f(x-2h) 2h³ π 1 1 to approximate the third derivative of f(x) = sin(2x) at x = 4' 42' respectively. Print out the error in absolute value for each choice of h, and verify that your numerical results have the correct order of accuracy. (10 points) with h = 1 45 3. Write a program to apply the formula f(x+2h)-2f(x+h)+2f(x-h)-f(x-2h) 2h³ π 1 1 to approximate the third derivative of f(x) = sin(2x) at x = 4' 42' respectively. Print out the error in absolute value for each choice of h, and verify that your numerical results have the correct order of accuracy. (10 points) with h = 1 45

Answer rating: 100% (QA)

function df3 thirdorderdifference fxh THIRDORDERDIFFERENCE Ap... View the full answer