Refer to the following theorem and let f(x) = et² b absolute error in approximating the integral f(x) a. Find a Trapezoid Rule approximation to Sex 0 To answer parts a through d, assume that f'' is continuous on the interval [a,b] and that k is a real number such that f''(x)| ≤k, for all x in [a,b]. The satisfies the inequality E-S -(4x)². Sex²+x= 0 (Round to six decimal places as needed.) f(x) dx by the Trapezoid Rule with n subintervals, where Ax= dx using n = 50 subintervals. H b-a n k(b-a) 12

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Refer to the following theorem and let f(x) =
et²
To answer parts a through d, assume that f'' is continuous on the interval [a,b] and that k is a real number such that f''(x)| ≤k, for all x in [a,b]. The
b
-(Ax)².
absolute error in approximating the integral f(x)
a. Find a Trapezoid Rule approximation to
dx=
0
(Round to six decimal places as needed.)
f(x) dx by the Trapezoid Rule with n subintervals, where Ax=
Sex
0
dx using n = 50 subintervals.
b-a
n
satisfies the inequality E-S
k(b-a)
12
Transcribed Image Text:Refer to the following theorem and let f(x) = et² To answer parts a through d, assume that f'' is continuous on the interval [a,b] and that k is a real number such that f''(x)| ≤k, for all x in [a,b]. The b -(Ax)². absolute error in approximating the integral f(x) a. Find a Trapezoid Rule approximation to dx= 0 (Round to six decimal places as needed.) f(x) dx by the Trapezoid Rule with n subintervals, where Ax= Sex 0 dx using n = 50 subintervals. b-a n satisfies the inequality E-S k(b-a) 12
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