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categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
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L
4.
1.2943767
= 2.
Use Neville's method to approximate √3 with the following functions and values.
f(x) = 3' and the values x0 = -2, x₁ = -1, x2 = 0, x3 = 1, and x4 =
f(x)=√√x and the values x0 = 0, x₁ = 1, x2 = 2, x3 = 4, and x4 =
Compare the accuracy of the approximation in parts (a) and (b).
b.
C.
5.
Let P(x) be the interpolating polynomial for the data (0, 0), (0.5, y), (1, 3), and (2, 2). Find y if the
coefficient of x3 in P3(x) is 6.
5.
Neville's method is used to approximate f(0.4), giving the following table.
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