Mat 2023

Anyone know how the Multiple choice for that how many number of root for cx^2 +ax+b works I got 2 real root cause it’s just guess work lmao

pretty sure the key idea was just to utilise the fact that cos(90-x) = sin(x).

i dont remember the exact expression, but there were two brackets multiplied iirc, one was (1 - cos^2(2x-60)) and the other (3-cos(150-2x))
by applying the identity to the left bracket, you get (1-sin^2(150-2x)) = cos^2(150-2x) which leaves the expression in a form previous to the prior part, but with something to the power of 4 instead?

anyways i got an answer of 16^4 = 4^8 = 2^16. If you know the expression, I could explain it probably, but i'm pretty confident it was maximised when cos(150-2x) = -1.

0 roots i think? i remember b=c coming up, and then doing some ******** to deduce a^2 - 4bc was negative. swear i remember a = -(b+c)/2 as well but idk lmao

M was 3/2 right? Lmao

Ccbcaaadec

what did you get for square number one

it was the one ending with 25 iirc

yh me too but did you guess? i guessed it looked like the only good option

Ccbcaaadec

I got the same I think except for J which I guessed, what was question C though cos I forgot what I chose for that?

it was the circles in a square question. 2-sqrt2

it was the circles in a square question. 2-sqrt2

anyone happen to remember all the mcqs? im missing 3 and have 0 recollection whatsoever lmao

which ones have you got?

square number
integral floor function
find M
sum of radii
number of roots discriminant
closest log to integer
the power of 3^10 bs