(a) (b) (c) Let f(2, 2) = 4, f(3,2)= 20 and f(2,3)= 15 use triangular interpolation...

 

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(a) (b) (c) Let f(2, 2) = 4, f(3,2)= 20 and f(2,3)= 15 use triangular interpolation to approximate f(2.5, 2.75) [4 marks] Consider the function f(x) = e* at x = 0.1, x = 0.6, x = 1.0 and x = 2.1 (1) Use Newton's interpolating polynomials to estimate to 4. p. f (0.12 and f(2.0) [7 marks] (iii) Use stirlings formula to evaluate f(1.3) and find the percentage error in the approximation. [4 marks] Find the dominant eigenvalue and the corresponding eigenvector for matrix A to 3.s.f -5 0 11 -2 17 -7 with x = [1,1,1] after 5 iterations A = [5 marks] -4 26 -10/ (a) (b) (c) Let f(2, 2) = 4, f(3,2)= 20 and f(2,3)= 15 use triangular interpolation to approximate f(2.5, 2.75) [4 marks] Consider the function f(x) = e* at x = 0.1, x = 0.6, x = 1.0 and x = 2.1 (1) Use Newton's interpolating polynomials to estimate to 4. p. f (0.12 and f(2.0) [7 marks] (iii) Use stirlings formula to evaluate f(1.3) and find the percentage error in the approximation. [4 marks] Find the dominant eigenvalue and the corresponding eigenvector for matrix A to 3.s.f -5 0 11 -2 17 -7 with x = [1,1,1] after 5 iterations A = [5 marks] -4 26 -10/

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Triangular interpolation is a method used to estimate a value at a given point in a twodimensional space by using the values of the function at three points that form a triangle that contains the poin... View the full answer