5. The fourier transform of the function f(x)=eI, is 2 4- w? O b. 2 w? -4 4 С. w? - 4 Od. 4+w? 4.

If y = f(x) in the figure, find the following. y 1 -6 −4 -2 (a) f(9) = (b) f(5) = 12 10 8 6 4 2 -4 (5, 6) 2 4 (2,2) (9, 10) L CO 8 +X 10 12

Question 21 Given the function f (x,y) = x³ - 5x² + 4xy-y2-16x - 10. Which ONE of the following statements is TRUE? OA (8.16)

Suppose a branch of z-1/4 (z² + 1) assumes negative real values for y = 0, x > 0. There is a branch cut along the line x = y, y ≥0. What value does this function assume at these points? 16.-1 17. 2i 18.-1-i

3. Interpolation Compute fo) and f(3). Use Newton's, Lagrange's, Forward and Backward Gregory Newton's Methods x -1 1 2 4 5 f(x) 13 15 13 33 67