IB Math AA HL November 2023 Paper 3

00:00 - Question 1 - Sketching a polynomial
05:05 - Question 1 - Conditions to have 3 zeroes
12:27 - Question 2 - Solving a Homogeneous Differential Equation
18:41 - Question 2 - Perpendicular Families of Functions
30:39 - Illustrating the perpendicular families

[catsarenice-do]

you are amzing! Thank you so much! Please do also paper 2 and paper 1! I don't know how to thank youuu <3

[gottem]

Thank you for this! All the best to those giving paper 3 today 🫡🙏

[kulbhashkarmishra]

Hi, @juliana maths can you pls share the soft copy of the same as its very much needed. thanks in advance.

[徐日蔚]

Hello, teacher, can you provide the electronic files of these past papers?

[yam]

i thought i had solved that differential... i did not 😁

[사랑아화이팅]

Can u provide the electronic pdfs for p1, p2 math aa hl ?

[rohannuckchady]

this has nothing really to do with IB HL, but i'm using this to help one of my students for a maths interview soon, I was wondering whether in the second question the ODE we solve doesn't give you the y^2 = 4a^2-4ax solution?
My thought is that I think we were a little bit not careful with the details, since technically we want a family of curves perpendicular to all the curves of the form y^2 = 4b^2+4bx, the differential equation you derived holds at the point of intersection of both curves which depends on the parameter b, so what you found there is the the curve perpendicular to y^2 = 4b^2+4bx for one fixed value of b and not for all of them. Is my thinking right or did I miss something maybe ?

Perhaps also to find the general family, we would need to solve for b in in terms of x and y. I think this is why they didn't ask the students to derive it, because then you get a nasty expression to integrate

[garypiligian]

@julianamaths do you have Paper 1 or Paper 2 videos for AA HL Nov 2023?

[krishiv]

can you tell me where i can find this paper