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QUESTION 1 (25 MARKS) a) The fuel consumption of an engine has been recorded as shown...
1. Velocity of a rocket is given as a function of time in table 1. Table 1. ind any 2l order polynomial of Lagrangian interpolation from the table 1 by 0 10 15 b) Build a program in Matlab for the Lagrangian polynomial interpolation to: 227.04 362.78 20 517.35 bl) Determine the value of the velocity at 16s using formulas of the 1" order and the 4th order Lagrangian polynomial interpolation. From that, find relative error between these two results...
QUESTION 1 The following velocity vs time data is given. To find polynomial interpolation are the velocity at t-14.9s, the three time data points you would choose for second order ime (s Velocity (m/s) 22 O 0. 15, 18 O 15, 18, 22 O o. 15, 22 O 0, 18, 24 15 18 37 25 123 QUESTION 2 The data of velocity vs time is given. 15 18 36 24 Velocity(m/s) 23 5 The velocity in m/s att-16s using linear...
Numerical methods problems 1, 2 and 3 1. Find the area of the region bounded by f(x)-25-x2 , g(x)-V36-x2 . x=2, and (a) right Riemann sum with 8 segments. (b) midpoint rule with 8 segments (e) Simpson's rule with 8 segments. Determine the average of the function f(x)=2x sinyx on the interval [1.8,3.4] using Romberg rule for 1, 2, 4 and 8 segments. 2, A new fuel for recreational boats being developed at the local university was tested at an...