Let f(x) = 2 + x3.(a) Use a CAS to approximate the maximum value of

Chapter 7, Problem 50

(choose chapter or problem)

 Let .

(a) Use a CAS to approximate the maximum value of \(\left|f^{(4)}(x)\right|\) on the interval [0, 1]


(b) How large must the value of
n be in the approximation \(S_{n}\) of \(\int_{0}^{1} f(x) d x\) by Simpson's rule to ensure that the absolute error is less than \(10^{-6}\)?

(c) Estimate the integral using Simpson's rule approximation \(S_{n}\) with the value of n obtained in part (b).

Equation Transcription:

Text Transcription:

f(x)=sqrt 2 + x^3

|f^(4) (x)|

S_n

Integral^1_0 f(x) dx

10^-6

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