# Simpson's rule

posted by .

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

• Simpson's rule -

His rule was eat donuts and work at the power plant.

#MakeMemesDankAgain

## Similar Questions

1. ### calculus SIMPSON RULE

Use Simpson's Rule and all the data in the following table to estimate the value of the integral . x -16 -15 -14 -13 -12 -11 -10 y -8 9 4 9 -5 -9 3
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.
3. ### Calculus

Can someone explain to me how to do these?
4. ### 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 n=4 …
5. ### calculus

Use the trapezoidal rule and simpson's rule to approximate the value of the definite integral âˆ«2,1 ln xdx; n =4
6. ### 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 …
7. ### Calculus II - Simpson's Rule

Find the Error resulted from approximation by Simpson's Rule: integral (from 0 to 1) sqrt( 1+x^3) dx ... compute the result for n=8
8. ### Calculus II - Trapezoidal Rule

Find the error resulting from approximation by Trapezoidal Rule: integral (from 0 to 1) sqrt(1+ x^3) dx .... compute the results for n=8
9. ### 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
10. ### 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. (c) …

More Similar Questions