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Find the quadratic that interpolates f(x) = 2x3 - x + 1 at the nodes x0 = 0, x1 = 2, x2 = 3,
a) by solving a set of three equations for the coefficients of p2(x) = a2x2 + a1x + a0.
b) by using Lagrange's approach.
From b) find the sum of the three coefficient polynomials lk(x), k = 0, 1, 2.
P=(Fv- ? Av3) (1-e-µ?) P is Power v is velocity of the belt ? is the density of the belt material ? = 1200 kg/m3 A is the cross sectional a
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prove that A=3i+j-2k ,B= -i+3j+4k, C=4i-2j-6k can form a triangle and find the length of the medians of the triangle.
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A company manufactures an assembly consisting of a frame, a shaft, and a ball bearing. The company manufactures the shafts and frames but purchases the ball bearings from a ball be
(i) Test for the existence of regression (the F-test). Carefully de ne the null and alternative hypothesis, and explain the result of any R output you obtain. (ii) Which of the
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