Study the degree of exactness of the midpoint method, use a single interval (i.e. N = 2), and estimate the integrals of the test functions over [0, 1]. The exact answer is 1 each time. Midpoint Result Error func 1 2x 3x² 42³ What is the degree of exactness of the midpoint rule? Recall that you computed the order of accuracy of the midpoint rule in the previous problem. For some methods, but not all, the degree of exactness is one less than the order of accuracy. Is that the case for the midpoint rule?

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4.
Study the degree of exactness of the midpoint method, use a single interval (i.e.
N = 2), and estimate the integrals of the test functions over [0, 1]. The exact answer is 1 each
time.
Midpoint Result Error
func
1
2x
3x²
4x³
What is the degree of exactness of the midpoint rule? Recall that you computed the order of
accuracy of the midpoint rule in the previous problem. For some methods, but not all, the
degree of exactness is one less than the order of accuracy. Is that the case for the midpoint
rule?
Transcribed Image Text:4. Study the degree of exactness of the midpoint method, use a single interval (i.e. N = 2), and estimate the integrals of the test functions over [0, 1]. The exact answer is 1 each time. Midpoint Result Error func 1 2x 3x² 4x³ What is the degree of exactness of the midpoint rule? Recall that you computed the order of accuracy of the midpoint rule in the previous problem. For some methods, but not all, the degree of exactness is one less than the order of accuracy. Is that the case for the midpoint rule?
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