VCE Methods Question Thread!

[knightrider]

What does it mean when it says give the velocity as a function of time?

does this mean that our equation should be v(t)=blah or v=blah?

[Eiffel]

What does it mean when it says give the velocity as a function of time?

does this mean that our equation should be v(t)=blah or v=blah?

diffirentiate it

[Eiffel]

with mod graphs

if the whole function is "modded" it is reflected all positive or negative depending on sign
if individual x is modded then reflection in y axis
what if say it was like loge|x-1| ? or y = 1/|x-1|  what is this as a general rule of thumb?

[keltingmeith]

diffirentiate it

Actually, what knightrider said was correct.. Differentiating it could do any million of things, but unless you've started with displacement as a function of time, it won't give you velocity as a function of time.

with mod graphs

if the whole function is "modded" it is reflected all positive or negative depending on sign
if individual x is modded then reflection in y axis
what if say it was like loge|x-1| ? or y = 1/|x-1|  what is this as a general rule of thumb?

You take the graph through a sequence of transformations. For the first one:

ln|x-1| is the exact same graph as ln|x|, but translated one unit to the right. You can sketch ln|x| (as you detailed how to above), so sketch it, then translate it one unit to the right.

For the second one:
, which once again you can sketch (as you detailed how to above)

[cosine]

For hyperbolas, whats the best way to approach dilaitons and reflections?

For example:

 

You could use two seperate dilations but also 7/2 from the x-axis. What way is best to approach it? Thank you

[keltingmeith]

For hyperbolas, whats the best way to approach dilaitons and reflections?

For example:

 

You could use two seperate dilations but also 7/2 from the x-axis. What way is best to approach it? Thank you

The way that you can use most efficiently, quickly and correctly.

[2jzgte]

When finding the domain and range of a function, do you always need to graph it?

[Hutchoo]

When finding the domain and range of a function, do you always need to graph it?

No, but sometimes it's easier to understand what the domain/range of a function is when you look at the graph.

[knightrider]

Actually, what knightrider said was correct.. Differentiating it could do any million of things, but unless you've started with displacement as a function of time, it won't give you velocity as a function of time.

Thanks eulerfan 101
so giving velocity as a function if time
we could write
v(t)=
or v=                 right?They would both be correct right?

[knightrider]

Are we expected to know the sine and cosine rule for methods?

[Escobar]

Are we expected to know the sine and cosine rule for methods?

no

[scarletmoon]

This is a really dumb question but how do you evaluate cos (23pi)? And how do you know which quadrant 7pi\2 is?

[Cogglesnatch Cuttlefish]

This is a really dumb question but how do you evaluate cos (23pi)? And how do you know which quadrant 7pi\2 is?

Well cos(23pi)=cos(22pi+pi)
and 7pi/2= 6pi/2+pi/2=3pi+pi/2
See if you can work it out from there

[chansena]

Hi all!

I am unsure if this is the correct working out for 2 log questions, could someone please tell me if these are the right / correct steps 

My working out can be found here

https://www.dropbox.com/s/o3ae1z7uhxz0lri/5%20gh.jpg?dl=0


Thanks in advance !

[cosine]

Hi all!

I am unsure if this is the correct working out for 2 log questions, could someone please tell me if these are the right / correct steps 

My working out can be found here

https://www.dropbox.com/s/o3ae1z7uhxz0lri/5%20gh.jpg?dl=0


Thanks in advance !

The first one is correct, however it is log_e(3) + 2 , where the 2 is not with the 3.

Second one is also correct