Suppose f"(x) = N;(h) + a,h* + a;h® + azh® + ... When calculating N,(h) using Richardson extrapolation, the error is of order: O(h*3) O(h^4 ) O o(h*6) O(h*5)

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A: to find local max or min.

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A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

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A: From the given information, number of observations n = 18. Confidence level  Level of significance

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Q: Suppose f(x) = N(h) + a,h + a,h² + azh³ + --. The value of N, (h) using Richardson's extrapolation…

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A: We know that if derivative of function is bounded  Then function is of bounded variation

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Q: 2. Show that X H→ In x is increasing on (0,0) and that In 1 = 0:

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Q: as x -> infinity f(x) ->  as x -> - infinity f(x) ->

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A: 8.) f(x)=x2f'(x)=2xf''(x)=2f'''(x)=0f(4)(x)=0

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A: Given: fx=x3.

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Q: 14. Find the end behavior for f(x) = -x - 4 A. x- +o, f(x) +0 x--o, f(x) - +0 B. x- +o, f(x)-0 x-…

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Q: Explain why not all of the hypotheses for the Mean Value Theorem hold for f(x) = 1- |x| on[-1, 2].

A: To explain why not all of the hypotheses for the Mean Value Theorem hold for f(x)=1-x on [-1,2]

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