Question: Given f(x)=sin(x)f(x)=sin(x), and x=0.7x=0.7. First computef(x)=f(x)=f(0.7)=f(0.7)=Now, compute the following forward difference approximation of f(x)f(x)f(x)(h)=f(x+h)f(x)hf(x)(h)=f(x+h)f(x)husing1.h=0.01h=0.01:(h)=(h)=;2.h=0.005h=0.005:(h)=(h)=;3. The approximation by Richardson extrapolation is .Carry out all calculations in
Given f(x)=sin(x)f(x)=sin(x), and x=0.7x=0.7. First computef(x)=f(x)=f(0.7)=f(0.7)=Now, compute the following forward difference approximation of f(x)f(x)f(x)(h)=f(x+h)f(x)hf(x)(h)=f(x+h)f(x)husing1.h=0.01h=0.01:(h)=(h)=;2.h=0.005h=0.005:(h)=(h)=;3. The approximation by Richardson extrapolation is .Carry out all calculations in full precision; enter the final results to at least the sixth decimal.
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