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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- 20, Solve the equations Ax = b, where9. The solution to the rocurrence equation: T(2') - 3T(2)1, T(1)-1 is:The results of an experimental study (x variable, y function) are given in the table below. (Five digits will be taken after the comma.) a-Find First, Second, and Third Order Linear Interpolation Polynomials. b- Find y(2)=? for First, Second, and Third Order Linear Interpolation Polynomials i 1 3 3 4 2,5 6,5 7
- 1] 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 .10100001Q4: Write the parametric equation of revolution surface in matrix form only which generated by rotate a Bezier curve defined by the coefficient parameter in one plane only, for the x-axis [0,5, 10,4], y-axis [1,4,2,2] respectively, for u-0.5 and 0 = 45° Note: [the rotation about y-axis].
- Please solve.find the general solution to the following differential equation by using VARIATION OF PARAMETER method. y''+4y'+5y=e-2xsecx• Suppose that we want to find a solution of the equation sin² (2) + 1-2x = 0, on the interval [0, π/2]. Is there a solution of the equation in this interval? How do you know?
- 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?Q.No.3. dy a. Solve = v(y-1). Answer of Q3a: d'y b. Find the particular integral solution of dy 4 -=x+3cosx+e*. dx Answer of Q3b: