VCE Methods Question Thread!

[Lear]

Don’t think you will ever need to evaluate that without a calculator. Only your basic values

[Yertle the Turtle]

does anyone know how to work out tan(θ) = 3/2 without a calculator?

You only will need to know simple angles like 30, 60, 45, 90, and all the symmetry rules relating to these angles. Otherwise, you can just use a calculator.

[rani_b]

Could someone help me with 7d? Thank you!!

[zhen]

Could someone help me with 7d? Thank you!!

This is what I get.

[rani_b]

This is what I get.

Thanks so much. That is the right answer. I'm just confused on how you can assume that the other length is also 6? If BC is the axis of symmetry, does that mean AP is also on the same line?

[zhen]

Thanks so much. That is the right answer. I'm just confused on how you can assume that the other length is also 6? If BC is the axis of symmetry, does that mean AP is also on the same line?

The axis of symmetry acts like a mirror. Whatever is the the left of that axis of symmetry, you reflect it to the right hand side. So the point A which is 6 left from the axis of symmetry would be reflected to make the point P which is 6 right from the axis of symmetry.

[MathMethodsGuru]

A really difficult question (I think, unless I am wrong). Could someone pleas explain how the answer equals {5,10,13,20,24,27,32,34}. Why is the 3 not include in the answer. When we have a look at the Venn diagram it is clear that it should be included https://www.mathstopia.net/sets/union-set - anyhow her is the question:
A set:
A: {5, 10, 13, 20, 24}
B: {10, 13, 27, 32, 34}
C: {3, 10, 13, 27, 30}

Find A∪B∪C

[zhen]

A really difficult question (I think, unless I am wrong). Could someone pleas explain how the answer equals {5,10,13,20,24,27,32,34}. Why is the 3 not include in the answer. When we have a look at the Venn diagram it is clear that it should be included https://www.mathstopia.net/sets/union-set - anyhow her is the question:
A set:
A: {5, 10, 13, 20, 24}
B: {10, 13, 27, 32, 34}
C: {3, 10, 13, 27, 30}

Find A∪B∪C

I think 3 should be included. It’s also missing 30 I think. I think that the answer is wrong, but it could be that I’m wrong.

[MathMethodsGuru]

I totally agree with you. Yes, 30 is included but 3 was left out  - oh well, I did another question that used the same notation and it included everything.
Book was wrong.

[Sine]

definitely just a book error

[MathMethodsGuru]

Could someone please help me out with these 4 question. I have absolutely no clue how to work these out. Thanks.

[jazzycab]

Could someone please help me out with these 4 question. I have absolutely no clue how to work these out. Thanks.

What's the actual question?
To sketch each of the intervals stated?
Or have you accidentally given us the answers?

[MathMethodsGuru]

What's the actual question?
To sketch each of the intervals stated?
Or have you accidentally given us the answers?

Sorry is says to use a number line to represent these sets. Thanks.

[exit]

I did the first 2 with my interpretation of the question. Hopefully this leads you in the correct direction (sorry for paint skills)

(you won't need to draw these on the exam)

[MathMethodsGuru]

(Image removed from quote.)

I did the first 2 with my interpretation of the question. Hopefully this leads you in the correct direction (sorry for paint skills)

(you won't need to draw these on the exam)

Hey Exit.

Thank you taking the time and effort to helping a fellow ATAR Notes member.
Hate these question but it makes much more sense.