Question: Consider the folowing tableEstimate the first derivative f'(0.25) using 2pt-CFD. Circle the right (closest) answera.f'(0.25)~~-30c. None of themb.,18d.-60The first derivative f'(0)of a given function f(x)is

Consider the folowing tableEstimate the first derivative f'(0.25) using 2pt-CFD. Circle the right (closest) answera.f'(0.25)~~-30c. None of themb.,18d.-60The first derivative f'(0)of a given function f(x)is estimated using:(a)3pt-BFD with h=0.5(b)2pt-FFD with h=0.1(c)2pt-CFD with h=0.2Which result is the more accurate. Circle the right answera. They are all equivalentc.(a)b.(c)d.(b)Consider the folowing tableEstimate the first derivative f'(-1.1) using 3pt-BFD. Circle the right (closest) answera.,f'(1)~~18c.,f'(1)~~12.875b.,f'(1)~~25.714d. None of themThe first derivative f'(0)of a given function is estimated using 2pt-CFD with a given h.We want toreduce the error by a factor of100(divide the error by100).By what factor we need to divide h? Circlethe right answer (or closest)a.,100c. None of themb.10d.104Consider the folowing tableThe second derivative f''(0.8)is estimated using 3pt-CFD. Provide an estimate of the true error. Circlethe closest answera.0.25c.0.040b. None of themd.0.0625

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