Let P(x) = 20x* - 7x³ be the Lagrange interpolating polynomial that approximates a function f over the interval [-1,1]. An approximation of f, f(x)dx is most nearly: O 22/5 6/5 None of the choices -7/3

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Q: he absolute extrema of J(*) = ,2+2x +9 n(-1,5]. %3D

A: The given function is  f(x)=xx2+2x+9 on [-1,5]

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Q: Consider the Lagrange polynomial that passes through the 4 data points given by 2 8 y 7 | 151 | 407…

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Q: Calculate M6 for f(x) = √√3x over √3x over [2,5].

A: Given Data : We have given a function f(x)=3x over an interval [2,5].   Required : We have to for…

Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: The error will disappear when using f(x)=x* to find the Lagrange interpolating polynomial p(x) if n…

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Q: (a) Develop a first-order method for approximating f" (x) which uses the data f(1 - 5h), f (z – 3h),…

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Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

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