If the initial statement is correct it does not imply that the function is necessarily odd. For example, the graph you used at 9:28 satisfies the initial condition but is not odd. So why we don't reject the third statement as well?
I got that one by just knowing that 21 is the 6th triangular number, then just knock the 1 off. In general, build them focusing on what you need, i.e here you needed a sequence with an odd difference, so just choose that to be 1 and then try to make it fit. Don't worry about using a bit of time on it
Thankj you so much for this!! I've got a question, I've been preparing for the TMUA and I've done lots of practice papers but am still flopping :( any advice on increasing my marks?
1) Relax. My youtube stats the last couple of years show just how many people only start prepping for this 1 week, even 1 day, before the exam. You're doing great to have already completed some papers. 2) On topics where you know you should get the mark (like a basic integration one) just slow down and make absolutely sure that you get it,, don't allow for mistakes. 3) Analyse the questions you didn't get with the worked solutions/videos. Try to understand each one. There's only a finite number of things they can ask, so chances are you'll just recognise in the exam some questions you've already had to analyse and think a lot about, and have an easier time with them 4) Just keep practising, and don't get defeated, it's supposed to be hard. One purpose of the exam is to try to weed out those who'll give up when maths gets hard (thus people unis don't want to take in) from those who persevere.
For the inequality to work (given the “if” statement ) , all the graph must be above the x axis , if it was a cubic , quadratic and a linear graph , portions of the graph would be below the x axis , so in order for it to work all those coefficients must cancel out
4.01 can a b and c have the same values like all of them are -3? Or all of them must have different values since they have all different notations (a, b, c)
Thank you so much for the video, it’s very helpful. Just a question: for question 11 (Practice P2) second statement, can we say it is not true, because the integration can be negative, but the area must be positive?
if you go to the start of the video and spam the left arrow he just says moo moo moo moo moo over and over lol (help I am going crazy)
lol ur making me crazy😂
A lot of thanks for the video on necessity and sufficiency . You literally saved my life.
If the initial statement is correct it does not imply that the function is necessarily odd. For example, the graph you used at 9:28 satisfies the initial condition but is not odd. So why we don't reject the third statement as well?
any tips on thinking of counterexamples? (eg. the counterexample at 2:00 would have never crossed my mind)
I got that one by just knowing that 21 is the 6th triangular number, then just knock the 1 off. In general, build them focusing on what you need, i.e here you needed a sequence with an odd difference, so just choose that to be 1 and then try to make it fit. Don't worry about using a bit of time on it
Hello, I was wondering how a cubic graph only has 2 real roots? I am reffing to graph at 9:29.
repeated root
thanks!
i have the exam tmrw :dd
@@lololili6385 same high key fucked
Thankj you so much for this!! I've got a question, I've been preparing for the TMUA and I've done lots of practice papers but am still flopping :( any advice on increasing my marks?
1) Relax. My youtube stats the last couple of years show just how many people only start prepping for this 1 week, even 1 day, before the exam. You're doing great to have already completed some papers.
2) On topics where you know you should get the mark (like a basic integration one) just slow down and make absolutely sure that you get it,, don't allow for mistakes.
3) Analyse the questions you didn't get with the worked solutions/videos. Try to understand each one. There's only a finite number of things they can ask, so chances are you'll just recognise in the exam some questions you've already had to analyse and think a lot about, and have an easier time with them
4) Just keep practising, and don't get defeated, it's supposed to be hard. One purpose of the exam is to try to weed out those who'll give up when maths gets hard (thus people unis don't want to take in) from those who persevere.
13:30 could someone explain why a = p here, i dont understand how he made that conclusion
For the inequality to work (given the “if” statement ) , all the graph must be above the x axis , if it was a cubic , quadratic and a linear graph , portions of the graph would be below the x axis , so in order for it to work all those coefficients must cancel out
@@mpe1021 thanks
4.01 can a b and c have the same values like all of them are -3? Or all of them must have different values since they have all different notations (a, b, c)
Thank you so much for the video, it’s very helpful. Just a question: for question 11 (Practice P2) second statement, can we say it is not true, because the integration can be negative, but the area must be positive?
oh man i was so gassed when i thought i got 12pi correct for the last one 😭