If f has a continuous second derivative on [a, b], then the error E in approximating [ºf IEI ≤ (ba) 127² [max f(x)], a ≤ x ≤ b. Moreover, if f has a continuous fourth derivative on [a, b], then the error E in approximating f(x) dx by the Trapezoidal Rule is LEI S (b) Simpson's Rule n = fºre (b-a)5 1804 [max (x)], a ≤ x ≤ 6. Use these to find the minimum integer such that the error in the approximation of the definite integral is less than or equal to 0.00001 using the Trapezoidal Rule and Simpson's Rule. B'vx+zax √x +2 dx (a) Trapezoidal Rule f(x) dx by Simpson's Rule is 11/07/2023 07:02
If f has a continuous second derivative on [a, b], then the error E in approximating [ºf IEI ≤ (ba) 127² [max f(x)], a ≤ x ≤ b. Moreover, if f has a continuous fourth derivative on [a, b], then the error E in approximating f(x) dx by the Trapezoidal Rule is LEI S (b) Simpson's Rule n = fºre (b-a)5 1804 [max (x)], a ≤ x ≤ 6. Use these to find the minimum integer such that the error in the approximation of the definite integral is less than or equal to 0.00001 using the Trapezoidal Rule and Simpson's Rule. B'vx+zax √x +2 dx (a) Trapezoidal Rule f(x) dx by Simpson's Rule is 11/07/2023 07:02
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![If f has a continuous second derivative on [a, b], then the error E in approximating [ºf
IEI ≤ (ba)
127² [max f(x)], a ≤ x ≤ b.
Moreover, if f has a continuous fourth derivative on [a, b], then the error E in approximating
f(x) dx by the Trapezoidal Rule is
LEI S
(b) Simpson's Rule
n =
fºre
(b-a)5
1804
[max
(x)], a ≤ x ≤ 6.
Use these to find the minimum integer such that the error in the approximation of the definite integral is less than or equal to 0.00001 using the Trapezoidal Rule and Simpson's Rule.
B'vx+zax
√x +2 dx
(a) Trapezoidal Rule
f(x) dx by Simpson's Rule is
11/07/2023 07:02](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff585c19b-ef83-4b9a-93dd-0cb9fc8d5f5b%2Ff71b5b46-c732-4009-b7fe-0d7af5c39dae%2Fbejy4hdc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If f has a continuous second derivative on [a, b], then the error E in approximating [ºf
IEI ≤ (ba)
127² [max f(x)], a ≤ x ≤ b.
Moreover, if f has a continuous fourth derivative on [a, b], then the error E in approximating
f(x) dx by the Trapezoidal Rule is
LEI S
(b) Simpson's Rule
n =
fºre
(b-a)5
1804
[max
(x)], a ≤ x ≤ 6.
Use these to find the minimum integer such that the error in the approximation of the definite integral is less than or equal to 0.00001 using the Trapezoidal Rule and Simpson's Rule.
B'vx+zax
√x +2 dx
(a) Trapezoidal Rule
f(x) dx by Simpson's Rule is
11/07/2023 07:02
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