Using Simpson's rule with n=2, then the truncation error of approximating a definite integral of a cubic polynomial is: Select one: a. The truncation error is always positive b. Less than zero c. greater than zero d. 0

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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A: I am attaching image so that you understand each and every step.

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A: By Simpson's 1/3 rule, ∫abfxdx≈∆x3fx0+4fx1+2fx2+4fx3+…+4fxn-1+fxnwhere ∆x=b-an. It is given that,…

Q: Use Simpson's Rule to approximate the value of the definite integral 2x dx with n = 8. a. 16.9283 b.…

A: Simpson rule formula is: ∫082x4 dx≈∆x3f(x0+4f(x1)+2f(x2)+4f(x3)+...+f(xn))...(1) Here, ∆x=8-08=1,…

Q: 2. (a) Use substitution to find indefinite integral. (b) /2re xP i+?

A: Since you have asked multiple questions in single request  so we  will be answering only first…

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A: ∫032t21-t232dt Put, t=sinθ⇒dtdθ=cosθ⇒dt=cosθ dθ Therefore, ∫t21-t232dt=∫sin2θ1-sin2θ32cosθ…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.