Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3< x4 = b, with the step size h = x,+1 -x, and define the function f on [a, b] such that f(@ f(b) %3D 1, f(x1) 1.5, f(x2) f(x3) = 2. Suppose that the length of the interval [a, b] is %3D 1, then the approximation of I = f f()dx using composite Simpson's rule with n= 4 is: O 10/3 O 5/2 O 5 O 5/3

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Q: Consider the regular subdivision of the interval [a, b] as a. = x0 < x1 < x2 < x3 < X4 = b, with the…

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Q: Given a decreasing concave up function f(x) on the interval [2, 5] with f(2)=10, ƒ(5)=3, f'(2)=-4,…

A: Given, a decreasing concave up function f(x) on the interval [2, 5] with   f(2)=10, f(5)=3, f'(2)=-4…

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Q: Consider the regular subdrvision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the…

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Q: Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the…

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Q: Consider the regular subdivisiIon of the interval fa, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the…

A: Given that: Length of interval = 3Number of subdivisions, n=4f(a)=f(b)=1f(x1)=1.5,f(x2)=f(x3)=2

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.