Simpson's rule Quiz

1. Simpson's rule is used with $h=1$ and ordinates $2,\ 3,\ 5,\ 4,\ 6$. Find the estimate.

• A. $\frac{46}{3}$
• B. $\frac{41}{3}$
• C. $18$
• D. $\frac{47}{3}$

2. Which number of strips CANNOT be used with Simpson's rule?

• A. 2
• B. 6
• C. 7
• D. 10

3. For $\int_{1}^{3}f(x)\,dx$ with 4 strips, what is $h$?

• A. $1$
• B. $0.5$
• C. $0.4$
• D. $2$

4. Which set shows the weights in Simpson's rule with 6 strips?

• A. 1, 2, 2, 2, 2, 2, 1
• B. 1, 4, 4, 4, 4, 4, 1
• C. 1, 4, 2, 4, 2, 4, 1
• D. 1, 4, 2, 2, 4, 2, 1

5. An estimate is 3.1333 and the exact value is 3.1416. What is the percentage error to 2 s.f.?

• A. 0.0083%
• B. 2.6%
• C. 0.27%
• D. 0.26%