Numerical methods questions | form six Pure Advanced Mathematics

1. The value represents the area under the graph of between x=a and x=b. Derive the Trapizium rule with 6 ordinates to find an approximation of
2. Using the trapezium rule obtained in (a), approximate correct to three decimal places.
3. Evaluate the actual integgral of and then calculate the relative error in the approximation obtained in (b). (Give your answers correct to three decimal places).

Answer / Solution

UNSOLVED

1. Approximate the value of correct to four decimal places by using

1. The trapezoidal rule with five ordinates and
2. The simpson`s rule with five ordinates.

2. Evaluate the exact value of the integral and compare your answer with those found in part(a) above.

Answer / Solution

UNSOLVED