Mega A Level Maths Thread MK II

really scared for C4 intergration:/

I'm not sure how to work out the range and domain for C3
All i know is the domain is input value and range is output but i'm not sure how to work them out
can someone please help?
e.g. how do you work out the domain and range for $y = e^x+\frac{1}{2}$ Thank you.

And that was my main problem, I stuck to 2008 on wards, so I didn't have time to experience those earlier papers and familiarise myself with them. The lift question wasn't hard, I just interpreted it wrong and used the lifts components instead as for suvat instead of reaching an equation and finding a value of t then subtracting 10, I tried to put it into the equation and its just all misinterpreted really.
I would like to say this on par with Jan 2013, if I sat jan 13 I would've got the vectors part c) wrong and the last part of the resolving question on the paper. So I'd expect due to the overwhelming amount of marks for moments 63/75 for an A?

Yh lift question isn't hard, it's just so easy to get wrong if you don't understand the question, like taking the wrong mass or whatever. I felt this paper had all the tricky bits thrown at you, lift, parallel vectors, non-uniform moments, force at pulley etc... the only topic this paper was lacking was Thrust in the rope if they included that as well wow...

Vectors part c) took me a good 15 mins to do in the exam as I got it all wrong and had to cross it out and start again but got there in the end! Don't know how I'd compare it, this one seems slightly harder to me but yes 63 for A is reasonable if everyone else did bad.

How come? What part don't you understand?

Normally it would say $f(x) = e^x+\frac{1}{2}$, but anyway,

The domain is here is obviously $\mathbb{R}$, as you can put in any real number.

Now, we know that:

$\displaystyle\lim_{x\to -\infty} \left( e^x+\frac{1}{2} \right) = \frac{1}{2}$

$\displaystyle\lim_{x\to \infty} \left( e^x+\frac{1}{2} \right) = \infty$

So the range would be $[ \frac{1}{2}, \infty]$

sorry i don't understand this bit
$\displaystyle\lim_{x\to -\infty} \left( e^x+\frac{1}{2} \right) = \frac{1}{2}$

$\displaystyle\lim_{x\to \infty} \left( e^x+\frac{1}{2} \right) = \infty$

Well, if you were to draw a graph of $y=e^x + \frac{1}{2}$, you'd notice that as x approaches negative infinity, y approaches 1/2.

So the lower limit of y (or f(x) in this case) would be 1/2.

Take note, however, that the y values APPROACHES 1/2, but never quite gets there. So, make sure that you notice that it's y>1/2 and y cannot equal 1/2.

Similarly, as x approaches infinity, y approaches infinity. So y < infinity

So 1/2 < y < infinity

60+60+60=180 for the C grade in AS level, you will need to bag 107 points (If those marks you speak of are ums).... you will need to resit one of them if it comes back like that.

At least I think that's how the boundaries are worked out. If those are raw marks, your ums may be higher for both

Thrust in the rope

This is not possible. The rope would simply go slack.

...

Anyways DJ how would you compare yesterday's M1 paper to the one we sat?

Substitution mostly:/

More challenging, but not outlandishly so.