Test on calculator, if it works sure, if not noView attachment 40712View attachment 40713
this might be a dumb question but wouldn't u take the abosolute value of b as 1/sqrt3 so then it would be +- the answer?
I guess not, they’d be more specific about something like that in the hscView attachment 40715View attachment 40716
did we have to assume the volume of the two tanks r equal cus they didnt say
all of themwhat r the most worthwhile topics to study which will likely be tested this year in q14??
so it's a parametric q basically, i remember doing it (syd grammar 2023?)like i got it but now i dont got it anymore??
ohhh makes senserise/run so g'(2) = 1.
because if you treat g(x) as the x axis for f(x), the two times which it touches immediately turn back, making them double roots. hence, this has two roots of multiplicity two, which is P(x)View attachment 40723View attachment 40724
this question i had no idea how to use part i
because like how do u know that fx - gx = -px ??? and how do u know if it would have a double root
i get what ur saying but i dont get it?because if you treat g(x) as the x axis for f(x), the two times which it touches immediately turn back, making them double roots. hence, this has two roots of multiplicity two, which is P(x)
Pretend that g(x) is an x axis. The points where f(x)=g(x) would therefore be the zeros of f(x) relative to this g(x). Therefore, as you can see on the graph, there are two double roots, so, you can equate your equation from earlier g(x)-f(x) to P(x) (they flip both sides but it achieves the same thing) because P(x) can represent any polynomial with 2 double rootsi get what ur saying but i dont get it?
the coefficient of x^4 must be the same, and p(x) is monic so it’s coefficient is 1. as you can see in its equation, the coefficient in f(x) is -1, so to match that if you want to equate a positive f(x) you need a negative p(x)but how do u know fx - gx = px or -px im confused
can i please borrow just 5 of your brain cells for fridays exam?the coefficient of x^4 must be the same, and p(x) is monic so it’s coefficient is 1. as you can see in its equation, the coefficient in f(x) is -1, so to match that if you want to equate a positive f(x) you need a negative p(x)
the volume of the 2 tanks arent equal ... its the change of volume. As water in P is leaving a certain rate.... water in P is rising at the same rateView attachment 40715View attachment 40716
did we have to assume the volume of the two tanks r equal cus they didnt say