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

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A: If f'(x) &gt;0 then f is increasing.

Q: oints, where the function f ఐ,00)

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Q: Please just do 1(b)

A: To compute the required value , by definite integral

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: