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Math1B Quiz 3

# Math1B Quiz 3 - 1 R-1 e-x 2 dx is guaranteed to have an...

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QUIZ 3 NAME: SID: There are 2 questions! Question 1 has 2 subquestions! Please show all relevant work. Question 1 Determine, for which values of p do the following integrals converge (note the limits of the integration): (1) Z 0 1 x p dx, (2) Z 0 1 (1 + x 2 ) p dx, 1

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2 Question 2 Determine the minimal n such that the approximation, using the Simpson rule of the integral
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Unformatted text preview: 1 R-1 e-x 2 dx is guaranteed to have an error smaller than 10-10 . The error bound for the Simpson rule is E S ≤ K ( b-a ) 5 180 n 2 where K = max a ≤ x ≤ b | f (4) ( x ) | ....
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Math1B Quiz 3 - 1 R-1 e-x 2 dx is guaranteed to have an...

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