Simpson’s 1/3^rd rule of integration is exact for integrating at most _________ order polynomials

First

Second
Third
Fourth

 The value of by using 2-segment Simpson's 1/3rd rule is most nearly

7.8306

7.8423

8.4433

10.246

The value of by using 4-segment Simpson's 1/3rd rule is most nearly

7.8036
7.8062

7.8423
7.9655

The velocity of a body is given by

 where t is given in seconds, and v is given in m/s.  Using 2-segment Simpson's 1/3rd rule, the distance covered by the body from 2 to 9 seconds most nearly is

949.33 m

1039.7 m

1200.5 m

1442.0 m

The value of an integral  by using 2-segment Simpson’s 1/3^rd Rule is estimated as 702.039.  The estimate of the same integral using 4-segment Simpson’s 1/3^rd rule most nearly is

702.39+8/3[2f(7)-f(11)+2f(15)]

702.39/2+8/3[2f(7)-f(11)+2f(15)]

702.39+8/3[2f(7)+2f(15)]

702.39/2+8/3[2f(7)+2f(15)]

 The following data of the velocity of a body as a function of time is given as follows.

The best estimate of the distance covered by the body from t=4 to t=15 using combination of Simpson’s 1/3^rd rule and Trapezoidal rule would be

354.75 m

362.5 m

368.0 m

378.8 m

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