- Question 1 4 6 10 5 3 6 Mass M X 2 3 3 1 5 8 6 1 7 0 8 9 9 6 Stress Ksf Y 0 33 0 62 0 45 0 68 0 37 1 21 1 25 2 3 A Co 1 (94.88 KiB) Viewed 127 times
Question 1 4.6 10.5 3.6 Mass m(x) 2.3 3.1 5.8 6.1 7.0 8.9 9.6 Stress Ksf(y) 0.33 0.62 0.45 0.68 0.37 1.21 1.25 2.3 A) Consider the table above, estimate the shear stress at a depth using Lagrange polynomial? B) Find the least square line co-efficient of the data points? C) Use square interpolation for M and write down the least square polynomial? Question 2 If Q(x) = (12- +(6-2 x) cos (x²), determine the horizontal distance travelled in 5 seconds within closed interval (1,6] using both numerical integrations? A) Trapezoidal Rule? B) Simpson's Rule? Question 3 Obtain the first derivative estimate for unequally spaced data if the function is y = xcos(x) + 4xe6 at x = 60° using step size h = 7%, compute: (60° is sixty degree not 1). A) Forward difference approximation of O(h): B) Backward difference approximation of O(h): C) Central difference approximation of O(h):