Advanced Higher Maths 2011-2012 : Discussion and Help

This is quickly becoming my favourite thread. c:

My trig work needs, well, work. If I was better at manipulating like that, it'd make my life a whole lot easier. :redface:

Reply 162

Original post by ukdragon37

Ooops, You are too quick :p:

(cotx + secx)/(cotx - secx) = (cotx - secx + 2secx)/(cotx - secx) = 1 + 2secx/(cotx - secx)

Ahhh I see. Cause if cotx + secx = cotx - secx + c. C would be 2secx and then (cotx-secx)/cotx-secx) gives you 1 so 1 +2secx/cotx - secx

I should think about maybe rearranging the equation before differentiating more often. Probably make things a lot easier.

Original post by JordanR

This is quickly becoming my favourite thread. c:

My trig work needs, well, work. If I was better at manipulating like that, it'd make my life a whole lot easier. :redface:

Trig was probably my worst area of maths last year. I'm getting better though. Sometimes you just have to go back to basics with it and everything suddenly becomes so clear ahah.

I think I've done enough maths for today.

I finished the rest of the E^x and ln differentiation questions. Had no trouble with them at all. I think just sometimes, if you aren't in the right mind set, you just don't see things as clearly or make stupid mistakes.

(edited 12 years ago)

Reply 163

ahaha you'll all have a fun year.

I had a great time in the class, and I actually enjoyed the subject.

Shame I got a D...

btw Proof by Induction's an absolute bitch

Reply 164

Original post by seanfromtheblock

ahaha you'll all have a fun year.

I had a great time in the class, and I actually enjoyed the subject.

Shame I got a D...

btw Proof by Induction's an absolute bitch

Did proof by induction whilst on a maths course in the summer. It's just so... weird? In a way I thought of it like stating the obvious. I don't know. Luckily I still got some super notes from that course so hopefully I won't struggle too much second time doing it.

Reply 165

ukdragon37

Original post by laughylolly

I finished the rest of the E^x and ln differentiation questions. Had no trouble with them at all. I think just sometimes, if you aren't in the right mind set, you just don't see things as clearly or make stupid mistakes.

Want a challenge question now on the same topic? :colone:

Reply 166

I might start on proofs soon. Since my timetable is super empty (see) I've got a lot of free time in school. With that said, I usually just go home.

Original post by ukdragon37

Want a challenge question now on the same topic? :colone:

If she doesn't, I do!

Reply 167

Original post by laughylolly

Did proof by induction whilst on a maths course in the summer. It's just so... weird? In a way I thought of it like stating the obvious. I don't know. Luckily I still got some super notes from that course so hopefully I won't struggle too much second time doing it.

I just absolutely hated the whole 'prove this is true, by assuming that it is true'

to be honest I probably just didn't understand it, hence the D.

Our paper was brutal though, although a girl in my class got 100% :angry:

Reply 168

timetablepicture.png50.9KB

Original post by ukdragon37

Want a challenge question now on the same topic? :colone:

Ohh... I guess. Give me something to look at until the X Factor starts in 6 minutes.

Original post by seanfromtheblock

I just absolutely hated the whole 'prove this is true, by assuming that it is true'

to be honest I probably just didn't understand it, hence the D.

Our paper was brutal though, although a girl in my class got 100% :angry:

I heard it was pretty awful, I think the credit paper was pretty bad too. Luckily higher wasn't too bad. 100% though, that's kinda crazy.

Original post by JordanR

I might start on proofs soon. Since my timetable is super empty (see) I've got a lot of free time in school. With that said, I usually just go home.

If she doesn't, I do!

My lovely timetable:

Just look at all the periods of maths I have. The subject assistant thing is for maths too (one set 5 (out of 5) S1 class, one set 4 (out of 5) S4 class).

(edited 12 years ago)

Reply 169

ukdragon37

Original post by JordanR

If she doesn't, I do!

Original post by laughylolly

Ohh... I guess. Give me something to look at until the X Factor starts in 6 minutes.

Differentiate

x^{x^{x^\cdot}}

, that is x^(x^(x^(x....))). This is a TSR classic :p:

(edited 12 years ago)

Reply 170

Original post by laughylolly

Ohh... I guess. Give me something to look at until the X Factor starts in 6 minutes.

I heard it was pretty awful, I think the credit paper was pretty bad too. Luckily higher wasn't too bad. 100% though, that's kinda crazy.

I was counting up what I answered as I gave up about half-way through and I knew I hadn't passed. Felt quite bad though, as there was a girl with an Oxford conditional doing the paper and she knew she hadn't got her A.

Oh well, Newcastle let me in, even though I needed a B, so I suppose it doesn't really matter.

I've forgotten pretty much all of it now anyway :colondollar:

Reply 171

Original post by laughylolly

My lovely timetable:

Just look at all the periods of maths I have. The subject assistant thing is for maths too (one set 5 (out of 5) S1 class, one set 4 (out of 5) S4 class).

Oh wow. My timetable suddenly feels like it should have a lot more on it... my school are just unable to offer any more teaching time than that.

Original post by ukdragon37

Differentiate

x^{x^{x^\cdot}}

, that is x^(x^(x^(x....))). This is a TSR classis :p:

Reply 172

Original post by ukdragon37

Differentiate

x^{x^{x^\cdot}}

, that is x^(x^(x^(x....))). This is a TSR classic :p:

Is it just 1??

Wait no... let me think about this.

It's just the same..

x^{x^{x^\cdot}}

Because if say

y=x^x then dy/dx=x^1 * x^(x-1) which is just x^x again so yeah?

Wait no. again haha. There's something to do with ln in it isn't there?

(edited 12 years ago)

Reply 173

LonelySoul193

1

Original post by seanfromtheblock

Our paper was brutal though, although a girl in my class got 100% :angry:

Oh god, a girl in the year above me that sat AH Maths last year got 100% too.... And 100% in Higher Maths the year before... :rolleyes:

Reply 174

Original post by laughylolly

Is it just 1??

Wait no... let me think about this.

It's just the same..

x^{x^{x^\cdot}}

Because if say

y=x^x then dy/dx=x^1 * x^(x-1) which is just x^x again so yeah?

Derivative of x^x is x^x ln(x+1) using the chain rule. I think. I'm eating soup, so I'm not 100% focused. xD

Either way, this problem has me :confused:

Remember that x^x = e^xlnx

(edited 12 years ago)

Reply 175

Original post by JordanR

Derivative of x^x is x^x ln(x+1) using the chain rule. I think. I'm eating soup, so I'm not 100% focused. xD

Either way, this problem has me :confused:

Remember that x^x = e^xlnx

Yeah it's x^x (lnx + 1) now what would it be for

x^{x^{x^\cdot}}

.... hmmm

And yum, soup.

Here's a lovely solution for x^x on youtube:

Guy sounds a lot like the maths lecturer I had a Durham this summer...

Reply 176