1. Approximate the first derivative of f(x) = 5e2.3x at x = 1.25 using a step size of Ax = 0.2 using the following metho
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- 1 Approximate The First Derivative Of F X 5e2 3x At X 1 25 Using A Step Size Of Ax 0 2 Using The Following Metho 1 (19.44 KiB) Viewed 41 times
1. Approximate the first derivative of f(x) = 5e2.3x at x = 1.25 using a step size of Ax = 0.2 using the following methods: a. Forward Divided Difference (FDD) b. Backward Divided Difference (BDD) c. Central Divided Difference (CDD) d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best approximation? Approximation Method First Derivative Value FDD BDD CDD 2. Use the same conditions in #1 to find f"(1.25). Approximation Method Second Derivative Value FDD BDD CDD Error(%) Error (%)
3. The distance s, measured in meters, of a bicycle rider from his point of origin is measured at intervals of 0.25 seconds, as shown below t S 0 0 0.25 4.3 0.5 10.2 Time Velocity Acceleration 0.75 17.2 1 26.2 1.25 33.1 Use CDD to approximate the velocity and acceleration of the biker at t=0.25 s, 0.75s, and 1.25 s. Give your answers in 4 decimal places. 0.25 s 0.75 s 1.25 s 1.5 39.1