HSC Mathematics Marathon (6 Viewers)

[jyu]

Is it b^2 / 4 by any chance?

Sorry, no

 

[hscishard]

4+(b^2/4)

 

[deterministic]

^correct

 

[jyu]

4+(b^2/4)

Try b=7

 

[deterministic]

Find the flaw in the reasoning below:



So hence 0=1 based on above

Where the above uses integration by parts with u=1/x, du=-1/x^2, v=x, dv=1,

 

[jyu]

Find the flaw in the reasoning below:



So hence 0=1 based on above

Where the above uses integration by parts with u=1/x, du=-1/x^2, v=x, dv=1,

The 2 integrals at the ends may have different constants, so the conclusion is wrong

 

[jyu]

^correct

Try b=7 and see whether it is correct.

 

[deterministic]

^Indeed you are correct. My bad. The above answer only really holds for b<=4.

 

[jyu]

^Indeed you are correct. My bad. The above answer only really holds for b<=4.

max of x^2+2y for b>4?

 

[hscishard]

Lol so the stationary point isn't it? What approach do you need then?

 

[roryclifford]

If lie on a circle through that passes through the origin then prove that the points representing are collinear (ie. lie on a straight line).

I have a solution for this that uses one circle geometry theorem. I'm sure there's a way to do it without using it so I'm interested in other solutions.

Hey I was actually just doing Excersise 4O from the textbook with this question and couldn't figure it out.
Could you possibly write your solution up for me?
Would help me out greatly

 

[cutemouse]

Hey I was actually just doing Excersise 4O from the textbook with this question and couldn't figure it out.
Could you possibly write your solution up for me?
Would help me out greatly

What textbook is that?

I would write it up. But my solution uses a circle geometry theorem. I don't think the solution should since the textbook I got it from was written in 1960, way before circle geometry was introduced in 1981. So I'm sure that my method is bad.

 

[jyu]

 

[Riproot]

What's the current question?

 

[ohexploitable]

What's the current question?

It's all over the place, I think there are like 3 unanswered questions but you'll have to look.

 

[Riproot]

It's all over the place, I think there are like 3 unanswered questions but you'll have to look.

Fuck it. I'll just do my English essay... ewwwwwwwww...

 

[jyu]

Fuck it. I'll just do my English essay... ewwwwwwwww...

or be a proud father of 3.

 

[roryclifford]

What textbook is that?

I would write it up. But my solution uses a circle geometry theorem. I don't think the solution should since the textbook I got it from was written in 1960, way before circle geometry was introduced in 1981. So I'm sure that my method is bad.

It's from my teachers book, "The fundamentals of 4 Unit" or something along those lines, I think from S.K Patel.

But I am yet to do HSC circle geo yet, so maybe I am not meant to understand it just yet haha.

 

[roryclifford]

Wow, never would have completed that question haha.

Thanks for the reply!

 

[Riproot]

It's from my teachers book, "The fundamentals of 4 Unit" or something along those lines, I think from S.K Patel.

But I am yet to do HSC circle geo yet, so maybe I am not meant to understand it just yet haha.

OMFG That's the book we use for 4u at my school! Just sayin'
I havent actually opened it yet though lol