Estimating error Refer to Theorem 7.2 and let a. Find a
Chapter 5, Problem 54AE(choose chapter or problem)
Estimating error Refer to Theorem 7.2 and let \(f(x)=e^{x^{2}}\).
(a) Find a Trapezoid Rule approximation to \(\int_{0}^{1} e^{x^{2}} d x\) using n=50 subintervals.
(b) Calculate \(f^{\prime \prime}(x)\).
(c) Explain why \(\left|f^{\prime \prime}(x)\right|<18\) on [0,1], given that e<3.
(d) Use Theorem 7.2 to find an upper bound on the absolute error in the estimate found in part (a).
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