Mathematics help please! (1 Viewer)

[ktl_edwards]

Hey Guys! Id really appreciate it if someone could help me out as soon as possible.

I have a question from the 2001 HSC paper, Mathematics Advanced.

Question 8 c)

http://community.boredofstudies.org/images/attach/pdf.gif

please help me understand

Thankyou

 

[Drongoski]

Hey Guys! Id really appreciate it if someone could help me out as soon as possible.

I have a question from the 2001 HSC paper, Mathematics Advanced.

Question 8 c)

http://community.boredofstudies.org/images/attach/pdf.gif

please help me understand

Thankyou

dv/dt max near the bottom (indicated with line) where bottle is narrowest

and min where bottle is "fattest" (also marked byline)

As time t increases, from the bottom of bottle, dv/dt increases until it hits a max and then very gently decreases to a min and then increases again until it fills up. Need a diagram to explain more fully, I'm sorry.

 

[ktl_edwards]

Oh thanks for replying...a little bit hard to understand though..

 

[Drongoski]

Oh thanks for replying...a little bit hard to understand though..

Can you get hold of a copy of Success One. Maybe it explains more fully there. I can explain better in person.

 

[ktl_edwards]

hmm...i might be able to, but not today.

I appreciate your help! Its so hard to understand math stuff on here since most of understanding math is by watching another person...uno?

Thank you so much though!

Hopefully my brother will help me tonight...

 

[boxhunter91]

When i done that question i just based it upon the curve y=x^3
Success one did as follows:
dy/dx will be maximum at a depth where glass is narrowest, ie at y=2
dy/dx will be minimum where glass is widest ie at y=7.5

 

[gurmies]

Well, if you think about it:

The narrower the segment, the less "radius" I suppose you could call it, you have to till for an increase in height. Recognise that before height can increase, the entire surface has to be filled with water (surface at any height). As a result, with a wide segment, it takes times to fill the outer part and hence takes more time to increase height.

Is it an awful question? Yes.