VCE Methods Question Thread!

[knightrider]

How would you   find the next  period of a graph which is digging at a rate of 2 m/s, at an angle of 60 degrees to the horizontal?

Also what does 60 degrees to the horizontal mean and whats its relevance?

[lzxnl]

Thanks guys 

What if a question came up in a sac asking us to rotate it ?

The likelihood that this will come up in a sac is akin to the chance that you'll be asked to derive Einstein's field equations in general relativity. It's not part of the course, so don't worry about it

Where did you get the question from?

How would you   find the next  period of a graph which is digging at a rate of 2 m/s, at an angle of 60 degrees to the horizontal?

Also what does 60 degrees to the horizontal mean and whats its relevance?

Erm...digging?

60 degrees to the horizontal means if you draw a line from your origin to the given point, that line is at a 60 degree with the horizontal axis.

[knightrider]

The likelihood that this will come up in a sac is akin to the chance that you'll be asked to derive Einstein's field equations in general relativity. It's not part of the course, so don't worry about it

Where did you get the question from?

Erm...digging?

60 degrees to the horizontal means if you draw a line from your origin to the given point, that line is at a 60 degree with the horizontal axis.

Thanks lzxnl 

I got the question from a year 11 maths book.

[knightrider]

For these questions(attached) have i wrote out my answers in the right way for the inverse functions?

1st one -

2nd one

[keltingmeith]

For these questions(attached) have i wrote out my answers in the right way for the inverse functions?

1st one -

2nd one

For a relationship to be an inverse function, it must still satisfy the rules of a function.

The first rule you've given is an inverse, but not a function - try the vertical line test.

[cosine]

For a relationship to be an inverse function, it must still satisfy the rules of a function.

The first rule you've given is an inverse, but not a function - try the vertical line test.

When it asks for an inverse, is it always recommended that we find the inverse function, or just the inverse in general?

[wunderkind52]

When it asks for an inverse, is it always recommended that we find the inverse function, or just the inverse in general?

If you inspect the question more closely, you will notice that there has been a domain restriction on the original function, which makes it a one-to-one function. If you graph that "half" of a parabola, and graph your inverse you found, you will notice that you actually have an extra "half" parabola. Instead of the +-, your job is to figure out whether it's the positive or the negative one.

[Apink!]

Hi!
Can someone please help me with this question:
Find the dimensions of the right circular cone of minimum volume V that can be circumscribed about a sphere of radius 8 inches.

Thank you (:

bump!
Thank you guys (and sorry for bumping xD)

[knightrider]

For a relationship to be an inverse function, it must still satisfy the rules of a function.

The first rule you've given is an inverse, but not a function - try the vertical line test.

Thanks eulerfan101

But if the question says define the inverse are my answers fine then?

1st one -

2nd one

[keltingmeith]

Thanks eulerfan101

But if the question says define the inverse are my answers fine then?

1st one -

2nd one

No, because you're calling them functions, but they're not.

[knightrider]

No, because you're calling them functions, but they're not.

Okay

so how would i answer these?

[faso]

Which points(s) on the curve of y=x^2 is/are nearest to the point (0,2)?

How would you answer this thank you?

[cosine]

I say A, teacher says D...

Anyone can help out pls? My teacher says that one period is from asymptote to asymptote, which i agree but there's no horizontal translation, so if d is an asymptote, then 2d is the next x-intercept.

[wunderkind52]

I say A, teacher says D...

Anyone can help out pls? My teacher says that one period is from asymptote to asymptote, which i agree but there's no horizontal translation, so if d is an asymptote, then 2d is the next x-intercept.

Answer is A. When you sub in everything it becomes
Sub in for the asymptote, and you get and tan(pi/2) is undefined hence an asymptote.
To find your first asymptote, you can always let everything inside the tan (in this case 4x) =pi/2 and solve for x.
so


I'm not sure why you need the next x-intercept though, cause the question is about asymptote and period

[knightrider]

How would you write a general equation for a exponential function which is dilated from the y-axis and translated horizontally.