Using the trapezoidal rule, estimate the value of the integra and the true error.
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Use the bisection method in the interval [2,4] to calculate the root/s of the equation
up to three iterations. Calculate the absolute relative approximate error at each stage.
Determine the first eight random numbers generated by using the linear congruential random number generator with a=c=7 and m=10. What is the period of this random number sequence.
Use Euler’s method for the differential equationwith the initial condition y(0) = 2 to calculate y(2) . Take a value of step size h =0.5 .
In what way is the Newton-Raphson method more beneficial than the bisection method?
Define true error and relative true error
Using the trapezoidal rule, estimate the value of the integra and the true error.
Given the following data for the velocity as a function of time, calculate the velocity at
t = 12 s using second order polynomial interpolation in the Newton divided
difference method:
| Time (in s) | 0 | 15 | 18 | 22 | 24 |
| Velocity (in ms-1) | 20 | 25 | 35 | 30 | 80 |