# Quiz Chapter 07.03: Simpson’s 1/3 Rule

 MULTIPLE CHOICE TEST SIMPSON 1/3RD RULE INTEGRATION

1. The highest order of polynomial integrand for which Simpson’s $1/3$ rule of integration is exact is

2. The value of$\, \displaystyle\int_{0.2}^{2.2} e^{x} dx$ by using two-segment Simpson’s $1/3$rd rule is most nearly

3. The value of$\, \displaystyle\int_{0.2}^{2.2} e^{x} dx$ by using four-segment Simpson’s $1/3$rd rule is most nearly

4. The velocity of a body is given by

• $\begin{matrix} v(t) = 2t,&1 \leq t \leq 5 \\ v(t) = 5t^{2} + 3,& 5 < t \leq 14 \\ \end{matrix}$

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

5. The value of$\, \displaystyle\int_{3}^{19} f(x)dx$ by using two-segment Simpson’s $1/3$rd rule is estimated as $702.039$. The estimate of the same integral using four-segment Simpson’s $1/3$rd rule is most nearly

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

 Time (s) $4$ $7$ $10$ $15$ Velocity (m/s) $22$ $24$ $37$ $46$

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