# Simpson's rule

Is the simpson's rule always more accurate than the midpoint rule and trapezoidal rule?

Not always; it is possible that the midpoint and/or trapezoidal rule determine exact values.

1. Some functions values for a function f are given below.

x 0 0.5 1.0
f(x) 3 4 11

What is the value of the estimate S1 to
1
�çf (x) dx
0

(a) 6 b) 5 c) 15/2 (d) 22/3

2. Some functions values for a function f are given below.
x 0 0.5 1.0 1.5 2.0
f(x) 3 4 11 20 30
With these values only which of the following estimates to
2
�çf (x) dx is it possible to
0
calculate?
(a) S1 and S2 only (b) S1 only
(c) S1, S2 and S4 (d) It isn�ft possible to calculate any
Simpson�fs Rule estimates.

3. Some functions values for a function f are given below.
x 11 13 15
f(x) 0.5 a 1.5
If the value of the S1 approximation to
15
�ç f (x) dx is 4, what is the value of
11
a?
(a) 1.5 (b) 1.75
(c) 1.25 (d) 1

1. 👍 0
2. 👎 0
3. 👁 310
1. His rule was eat donuts and work at the power plant.

#MakeMemesDankAgain

1. 👍 0
2. 👎 0
posted by Memist

## Similar Questions

1. ### math

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) The integral of e^(3sqrt(t)) sin3t dt from 0 to 4. n=8

asked by sara on July 1, 2014
2. ### Maths C

I need to compare and contrast Weddle's Rule and Simpson's rule and outline a distinguishing difference between them. I understand Simpson's Rule but I am finding it difficult to obtain clear information about Weddle's rule.

asked by Sam on June 23, 2011
3. ### calculus

Use the trapezoidal rule and simpson's rule to approximate the value of the definite integral âˆ«2,1 ln xdx; n =4

asked by Anonymous on March 6, 2012
4. ### Calculus

Internal 1/sqrt(1+x^3) from [0,2] and n=10 (a) Use the Trapezoidal Rule to approximate the given integral with the specified value of n. (b) Use the Midpoint Rule to approximate the given integral with the specified value of n.

asked by Kaitlyn on February 19, 2016
5. ### Calculus

Function f(x) is positive, decreasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule

asked by Alice on February 28, 2019
6. ### Calculus

Function f(x) is positive, decreasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule

asked by Alice on February 28, 2019
7. ### Maths (Calculus)

A current i = 50sin 100πt mA flows in an electrical circuit. Determine, using integral calculus, its a) Mean Value b) RMS Value each correct to 2 decimal places over the range t = 0 to t = 10 ms I need to do this two way so I was

asked by Dylan James on May 5, 2013
8. ### calculus

f(1)= 20, f(3)=13, f(5)=15, f(7)=16, f(9)=11, on [0,6] a, used midpint rule with n=5 to estimate intergral form 0 to 10 f(x)dx b, use trapezoidal rule with n=4 to estimate intergral from 1 to 9 f(x)dx c, used simpson's rule with

asked by kyle on December 12, 2011
9. ### Calculus

Can someone explain to me how to do these? Given the following definite integral and n=4 answer the following questions. (Round your answers to six decimal places.) 1. Use the Trapezoidal Rule to approximate the definite integral.

asked by Patrick on September 29, 2011
10. ### Calculus

Function f(x) is positive, increasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the upper sum, lower sum, and trapezoidal rule

asked by Nelson on June 20, 2018

More Similar Questions