Simpsons and Trapezoidal Rule On Volumes (1 Viewer)

[velox]

Simpsons and Trapezoidal Rule On Volumes - Is this common in exams? Cos i cant find any questions on these and would like to practice them...

 

[rama_v]

Im sure they could ask it. There are some in the Fitzpatrik 2 unit book...I remember a question on volumes using simspons rule, someone posted it up a few weeks back I think.

 

[velox]

Ok cool. It was the only book i negated in my search of trap and simpsons rule volumes questions.

 

[Huratio]

I can confirm that I have been tested on a simpsons rule on volumes in a topic test for integration .. i'll try to find this question if u like.

 

[Meldrum]

I can confirm that I have been tested on a simpsons rule on volumes in a topic test for integration .. i'll try to find this question if u like.

That'd be great.

Thanks, Hornblower.

 

[haboozin]

ooo i think i forgot how to do them...

square it and add pi????????

 

[acmilan]

Its the same thing as using integration, except instead of using integration, use the approximation methods to find the integral

 

[rama_v]

Question 9 (a) in James Ruse 1993 2 unit paper trial HSC paper:

The area in the first quadrant, under the curve y = xe^x, the line x=2 and the x-axis is rotated about the x axis.

(i) Write down a definite integral which gives the volume of the generated solid
(ii) Calculate an estimate of the volume of this solid of revolution using Simpson's rule with three function values

(Answer is 236 units^3)

 

[Slidey]

Below is the answer to part one. Can you see why it is no different to any other integral approximation question?

Spoiler

i) Pi * integral (x²e^2x) from 0 to 2

 

[Pace_T]

Question 9 (a) in James Ruse 1993 2 unit paper trial HSC paper:

The area in the first quadrant, under the curve y = xe^x, the line x=2 and the x-axis is rotated about the x axis.

(i) Write down a definite integral which gives the volume of the generated solid
(ii) Calculate an estimate of the volume of this solid of revolution using Simpson's rule with three function values

(Answer is 236 units^3)

hey im getting 259 u^3 as my answer, i must be doing something wrong

can someone outline the steps to solve it please?
thanks

 

[rama_v]

Perhaps your right, the answers say 236 but I am getting 259 as well.

 

[velox]

i got 259.something aswell......