Volume Q (1 Viewer)

[lyounamu]

I never learnt how to find volume using simpsons' rule. Can any one help me on this? (page 7/8 Section C Q c.)

http://www.boredofstudies.org/courses/maths/3u/1091817188_2004_Mathematics_Extension_1_Assessment_Task_sbhs.pdf

I really cannot bother to do this question myself and I don't want to search around textbook to find the answer. I am too tired. :apig:

Thanks in advance.

 

[Aerath]

Haha, that's my school's exam and the examiner is our Deputy Principal.

I think that's the answer? =\ Maybe?

 

[lyounamu]

Haha, that's my school's exam and the examiner is our Deputy Principal.

I think that's the answer? =\ Maybe?

I don't know the answer. But it seems right from here. Thanks.

 

[Aerath]

And I feel stupid for not drawing the y = sin^-1x curve properly. =\

 

[lyounamu]

And I feel stupid for not drawing the y = sin^-1x curve properly. =\

It looks alright. It should look more curly though. (and smooth for extra effect)

 

[Aerath]

It looks alright. It should look more curly though. (and smooth for extra effect)

Haha, I didn't even try to draw it, I just drew a squiggly line (like they teach you to do when you have something like y = x³lnx), before realising that it's a pretty easy curve.

 

[hollyy.]

ive never done this...why did you square it at the beginning?
EDIT: i can follow the rest

 

[lyounamu]

ive never done this...why did you square it at the beginning?
EDIT: i can follow the rest

We square it to get the volume. When you find the volume, you use the formula: pi . integral of (y^2).

Squaring part is an essential element of this working out. Without squaring, you only find the surface area, not the volume.

 

[Aerath]

Because when using Volume, it's V = int y²dx. I thought it would make sense to square it too.

There was a question about this in 2U Fitzpatrick...I guess we're meant to know it. Fudge. =(

 

[conics2008]

the reason why he squared it because his taking discs... and the area of a disc is piy^2 where y=radius

therefore taking multiple dics = pi S from a-b y^2 dx

 

[midifile]

the reason why he squared it because his taking discs... and the area of a disc is piy^2 where y=radius

therefore taking multiple dics = pi S from a-b y^2 dx

Yep...

It would make more sense if you had done 4 unit volumes

 

[Aerath]

Yep...

It would make more sense if you had done 4 unit volumes

If you referring to me, I'm not quite up to there, yet.

 

[shadyhaze]

is y = sin-1 x between -1<x<1 and -90<y<90?
but yeah then its just doing table of values with x and y² and using formula, but times everything by pi
where does 4unit come into tht question?

 

[tacogym27101990]

is y = sin-1 x between -1<X<1 p and -90<y<90?<> but yeah then its just doing table of values with x and y² and using formula, but times everything by pi
where does 4unit come into tht question?

the four unit stuffs just the theory behind why we use y². its because we take slices of discs which each resemble a circle.