Question

The number of strips required in Simpson’s 3/8 rule is a multiple of …​

Answer 1

Answer:

3

Step-by-step explanation:

To apply Simpson` s3 /8 th rule the area under curve is divided into minimum 3 strips that means n should be multiple of 3

Answer 2

Simpson's rules are followed usually in cases of charts, graphs and related things. Some main rules are :

1. If the curve is taking through the points(x1,f(x1)) , (x2,f(x2)) , (x3,f(x3)) and (x4,f(x4)) as a polynomial of third order ,then area A under the curve is given by A=3h/8(f(x1)+3f(x2)+3f(x3)+f(x4))

2. The area under third degree polynomial will be approximation of an integral of actual curve.

3. To apply Simpson` s3 /8 th rule the area under curve is divided into minimum 3 strips that means n should be multiple of 3.

4. Accuracy can be improved by decreasing strip size. The total area under the curve is summation of all such small area

Thus, the number of strips required in Simpson’s 3/8 rule is a multiple of 3.