I think this is off topic for hsc maths for some reason
From what I've read, logax=y
a needs to be positive, thus x needs to be positive
What about equations like these
\(-a)^y = x
where a is positive. x and y can be either negative or positive.
I've done
\(-1)^y(a)^y = x...
There's a better way than substituting all the p/q values to find a rational root right? I use my calc for it, but it still takes forever!
So is this all about luck?
e.g. 2x^3 -1=0 potential roots are +\-1/2, +\-1 but a much longer one
assess the evidence which indicates increases in atmospheric concentration of oxides of sulfur and nitrogen
Right how do I study this dot point? I can't find the evidence in my textbooks, all I can find is just how we've controlled it and how the concentrations shot up.
Are we going to get...
Ok, I can't work this out:
It's the 1st of april. There's a guy that posts an envelope today. He posted another envelope the day after and this continues until the 17th of december. The guy notices that the hour after posting an envelope, it suddenly goes missing. How many envelopes will be...
Hope you guys could follow that. If not, it's the part where you learn all about different commerical cells/batteries. Do you really need to know all seven of them? It's a huge section in conquering chem but it hasn't been tested frequently in the hsc. The only question I saw in the past 3-4...
For conics, do you have to remember the actual equations? Or should you derive them yourself in the exam?
As in for the tangents and normals. It's like prelim parametrics, only more boring
Determine the real values of gamma for which the equation defines an ellipse (terry lee 5.1 q7)
\[\frac{x^2}{9-\gamma } +\frac{y^2}{\gamma -4}=1\]
I got 4 < gamma < 6.5
Worked solution:
9-#>0
#<9
#-4>0
#>4
Therefore 4<#<9
The way the book did it doesn't seem right...
\frac{dy}{dx}= 2x
\frac{dx}{dy}= 1/2x
Therefore x = [log(2x)]/2 ??
The question that involved this
\frac{dr}{dt}= \frac{1}{2\pi r^2}
\frac{dt}{dr}= 2\pi r^2
t=\frac{2\pi r^3}{3} + C
WTF is wrong with my example?
3rd attempt to post this.
IS it likely that this kind of question(difficulty) will be in the 2011 exam?
How many marks will it be out of?
This question took a few attempts, the wording of the question cofused me!!!!
Integrate (x+1)^2 via:
a) Expanding the brackets
b) Reverse chain rule/sub method/ w/e
Then tell me if the C in a) is different or not different to the C in b).
I think it isn't..
I need some of these with a slot diameter approx 3cm.Anyone know where to buy them? All stores I know have the usual 2.5-2.6cm. They bloody don't go in mine (2.8cm).
Fuck my handlebar.
In any subject...if you remember everything in your textbook, understand everything in your textbook and able to apply your knowledge, would it be easy to get 90s?