Let f(x) = cos(x2).(a) Use a CAS to approximate the maximum value of
Chapter 7, Problem 47(choose chapter or problem)
Let \(f(x)=\cos \left(x^{2}\right)\)
(a) Use a CAS to approximate the maximum value of \(\left|f^{\prime \prime}(x)\right|\) on the interval [0, 1].
(b) How large must n be in the midpoint approximation of \(\int_{0}^{1} f(x) d x\) to ensure that the absolute error is less than \(5 \times 10^{-4}\)? Compare your result with that obtained in Example
(c) Estimate the integral using the midpoint approximation with the value of n obtained in part (b).
Equation Transcription:
∫
Text Transcription:
f(x)=cos(x^2)
|f’’ (x)|
Integral^1_0 f(x) dx
5 x 10^-4
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