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].
- Given Data: x = [1, 3, 9, 13, 27] and y = [3, 12, 35, 19, 5] Examine the curve fit for a polynomial of degree 1, 2, 3 and 4. You must show all four cases, i.e., find the coefficients of the polynomial for the given data. Find coefficients of a polynomial that best fits the data and find roots of that polynomial only. In your solution explain why you chose the degree of the polynomial you did. Your solution in both Matlab and Excel should show all four cases. What is the predicted y value from your polynomial for x = 3? No user-defined fn required.• 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 method