QUESTION 6
Let f be the function given by f(x) =sin(5x+pi/4) and let P(x) be the 3rd degree Taylor polynomial for f about x=0.



a.  Find P(x)

Find the coefficient of x^22 in the Taylor series for f about x=0

c.  Use the Lagrange error bound to show that absolute value of (f(1/10)-P(1/10))<1/100


d.  Let G be the function given by G(x)= integral from 0-x of f(t)dt.  Write the 3rd degree Taylor polynomial for G about x=0.
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