Using the trapezoidal rule, estimate the value of the integra and the true error.
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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.
The approximate value of the derivative of a functionat x can be calculated using formula:
Calculate
Determine the true error and relative true error in each case
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 |
Use the Gauss elimination method to solve the system of equations:
What are the advantages and drawbacks of the bisection method?
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.
Using the trapezoidal rule, estimate the value of the integra and the true error.