[Question] for the exam! (1 Viewer)

[HSCExamMarker]

Can they ask projectile motion questions??

a syllabus has kinda projectile motion (but it's not really clear)

and i never seen projectile motion in 4unit b4..

another thing is a monotonic increasing function..somehow it's not really clear to me..
monotonic increasing -> a gradient increases ? or just y values increases?

and how do we know whether its monotonic increasing or just increasing?


I v just done 2005 SGS paper and HSC 2003..

118/120 for SGS -_- however like 87/120 for HSC 2003...Omg HSC is so much harder than trials ;; especially that integration in last question drove me crazy lol!

 

[justchillin]

118 for SGS is quite impressive... i got 112 in that paper 1st off i think (nice question 8)... 2003 was aight also...about ur projectile thing: they can put in whatever they want...anyway projectile isnt hard, just apply the conditions and be ready to manipualte ur heart out. Monotonic increasing I think is gradient increasing also but im not sure...Kfunk or smeone more knowledgeable can help u there. gl

 

[acmilan]

The gradient is always positive, doesnt have to always increase though.

 

[justchillin]

So what does monotonic actually mean?

 

[rama_v]

So what does monotonic actually mean?

throughout the whole domain i think
e.g. y = log x is a monotonic increasing function

 

[acmilan]

For a > b, f(a) > f(b)

 

[serge]

Can they ask projectile motion questions??

They can ask projectile questions, i think if seen one or two in past papers

the reason they're rare is because generally the Harder 3u that they can
ask can get much trickier than projectile motion.

plus there's not point asking it in 4unit if they have a projectile question
in the 3u paper (since everyone that does 4u will do 3u...)

 

[underthebridge]

I saw a complex numbers locus question that required drawing an ellipse back in the 1986 paper or so, it was something like:
|z - A| + |z - B| = 4

Do we still need to know how to do these? or are they out of the syllabus?

 

[KFunk]

From the Wolfram site:

"A function is monotonic if its first derivative (which need not be continuous) does not change sign."

As has been said monotonic increasing is where the gradient is always positive, and simarly I assume monotic decreasing is where the gradient is always negative.

 

[SmileyCam]

Can they ask projectile motion questions??

There was a question on projectile motion in 2003 HSC, so I would say yes, definately

 

[Abtari]

From the Wolfram site:

"A function is monotonic if its first derivative (which need not be continuous) does not change sign."

As has been said monotonic increasing is where the gradient is always positive, and simarly I assume monotic decreasing is where the gradient is always negative.

a function is monotonic ( meaning 'always' for that domain i.e. continuously) increasing if for a>b, f(a) > f(b)... if when x increases, y increases then the function is monotonic increasing...

vice versa for monotonic decreasing...

the gradient doesnt have to be 'always positive' or 'always negative' because you can have horizontal points of inflexion in a monotonic increasing curve over a certain domain, and at the horizontal point of inflection, the gradient is zero... since its horizontal

 

[jmromeo]

Very important!!... about monotonic increasing function.

A function f is monotonic increasing in the interval (a,b) if f'(x)>0, for all x in (a,b).

Similarly, f is monotonic decreasing in the interval (a,b) if f'(x)<0, for all x in (a,b).