(a) If f(x) sin (sin x), use a graph to find an upper bound for f (4) (x) (b) Use Simpsons Rule with n 10 to approximate f(x) dx and use part (a) to estimate the error (c) How large should be to guarantee that the size of the error in using Sn is less than 0 00001 ...

a fx sinsin x A CAS gives fx sinsin x cos x 7 cosx3 co ...

(a) If f(x) = sin (sin x), use a graph to find an upper bound for |...

Question:

(a) If f(x) = sin (sin x), use a graph to find an upper bound for | f (4) (x) |.
(b) Use Simpson’s Rule with n = 10 to approximate ∫π f(x) dx and use part (a) to estimate the error.
(c) How large should be to guarantee that the size of the error in using Sn is less than 0.00001?