Question: Write a program that does the following: Let f(x) In(x) and carry 9 decimal places to find: a) Use formula (6) from textbook (page

Write a program that does the following: Let f(x) In(x) and carry

9 decimal places to find: a) Use formula (6) from textbook (page

Write a program that does the following: Let f(x) In(x) and carry 9 decimal places to find: a) Use formula (6) from textbook (page 330) with h=0.05 to approximate f"(5) b) Use formula (6) from textbook (page 330) with h=0.01 to approximate f"(5) c) Use formula (6) from textbook (page 330) with h=0.1 to approximate f"(5) d) Which answer is more accurate 650 ANSWERS TO SELECTED EXERCISES 6. P+i = P + (0.02 P. 0.00004 P?) 10 for k = 1, 2, ,8. Actual population Euler rounded at at ik, P(tk) Euler with more Year each step digits carried 1900 76.1 76.1 89.0 0.0 76.1 1910 10.0 92.4 89.0035 1920 20.0 106.5 103.6 103.6356 1930 30.0 123.1 120.0666 120.0 138.2 158.2 179.8 1940 40.0 132.6 138,3133 152.3 180.7 1950 50.0 1960 60.0 1970 158.3239 179.9621 203.0000 227.1164 70.0 204.9 202.8 1980 80.0 226.5 226.9 the formula is given below

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