2. How many degree d polynomials pass through the four points (−1,3), (1,1), (2,3), (3,7)? Write down one if possible. (a) d=2 (b) d = 3 (c) d = 6
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please handwrite each with steps if possible and do not use chat gpt, Thank You !
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- 20, Solve the equations Ax = b, where1] Minimize the following boolean function- F(A, B, C, D) = Σm(0, 1, 3, 5, 7, 8, 9, 11, 13, 15)Construct the system for a free cubic spline for the following data, and solve it using MATLABto construct the polynomials. Write out the linear system, and the final si(x) polynomials. x -0.5 -0.25 0 f(x) -0.0247500 0.3349375 .10100001
- Please solve.Write cpp which can solve equation using Eular methodYou solve a non-singular system of 1,000 linear equations with 1,000 unknowns. Your code uses the Gauss-Jordan algorithm with partial pivoting using double precision numbers and arithmetics. Why would the 2-norm of the residual of your solution not be zero?
- (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.1. Assume that a function f is in polynomial time and can be computed in time 0(n) and that g is in polynomial time and can be computed in time 0(n°). Prove that f composed with g, that is f(g(x)), can be computed in time 0(n5).