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(Solved): matlab a) Use the Simpson's \( 3 / 8 \) rule with a single application of Simpson's \( 1 / 3 \) rule ...




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a) Use the Simpsons \( 3 / 8 \) rule with a single application of Simpsons \( 1 / 3 \) rule at the end of the domain to int
a) Use the Simpson's \( 3 / 8 \) rule with a single application of Simpson's \( 1 / 3 \) rule at the end of the domain to integrate the function \[ f(x)=10-\sqrt{1+\left(x^{4} / 6800\right)^{2}} \] between 0 and 20 using 20 points. Provide your answer accurate to 4 decimal places. b) Integrate \( f(x) \) again over the domain \( 0 \leq x \leq 20 \) using the Trapezoidal rule with 20 points and provide the answer accurate to 4 decimal places. c) What is the minimum number of points required for a composite application composed of Simpson's \( 1 / 3 \) rule plus Simpson's \( 3 / 8 \) rule.


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a) Use the Simpson's 3/8 rule with a single application of Simpson's 1/3 rule at the end of the domain to integrate the function f(x)= 10-?1+(x*/6800)
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