VCE Specialist 3/4 Question Thread!

[deStudent]

For using trigonometric identities for integration, should we be memorising the cases that the textbook has or do we just try them randomly that best fit a given integral?

[Shadowxo]

For using trigonometric identities for integration, should we be memorising the cases that the textbook has or do we just try them randomly that best fit a given integral?

Try to figure out what you need and use the identities from there. You should know the trig identities and be able to use them, but I wouldn't think you'd need to memorise every case or randomly test them.

[lzxnl]

I believe the assessor may have considered -Pi and Pi as end points, rather than turning points, however, it should be considered as both afaik. So C would be right in this case, however, I think E should be correct not C (definitely confirm this with your teacher) because the gradient of a turning point is 0, and as -Pi and Pi are included in the domain, they should be included in the answer (some assessors approve it and some don't)

Not true. Not all turning points have gradient zero. Turning points either have zero or undefined gradient. For instance, consider the graph of y = |x|. That one obviously turns at the origin, albeit not smoothly. Then consider the graph of y = x^(2/3). Similar idea.

[NAT0003]

Is a mathematician guaranteed 45+ raw in spesh

[Alexicology]

How do you do Q4a) Extended Response in Chapter 3 Review Cambridge Senior Mathematics Specialist Maths 3 and 4 textbook?

Mod Edit (MightyBeh): Added an image of the question.

[Gogo14]

How do you do Q4a) Extended Response in Chapter 3 Review Cambridge Senior Mathematics Specialist Maths 3 and 4 textbook?

Sorry can you post a pic? my school doesnt use cambridge so I have no idea what question you are referring to, also it would be convenient for everyone else. Thanks

[Alexicology]

Sorry can you post a pic? my school doesnt use cambridge so I have no idea what question you are referring to, also it would be convenient for everyone else. Thanks

Thanks MightyBeh for adding a picture, can you solve it now Gogo14?

Thanks in advance

[Shadowxo]

How do you do Q4a) Extended Response in Chapter 3 Review Cambridge Senior Mathematics Specialist Maths 3 and 4 textbook?

Mod Edit (MightyBeh): Added an image of the question.

I've solved the question before, here's the link
https://atarnotes.com/forum/index.php?topic=128233.msg934131#msg934131
End of page 574

[Alexicology]

I've solved the question before, here's the link
https://atarnotes.com/forum/index.php?topic=128233.msg934131#msg934131
End of page 574

thank you

[Gogo14]

I know how to solve this question, but just confused as to why n=3 instead of 0 for part a

[jamonwindeyer]

I know how to solve this question, but just confused as to why n=3 instead of 0 for part a

Hey Gogo! It's just a terminology thing, they want smallest positive integer - 0 isn't positive

[Gogo14]

Hey Gogo! It's just a terminology thing, they want smallest positive integer - 0 isn't positive

Ah right. Should have read it properly. Thanks!

[Gogo14]

Why can we represent complex numbers using euler's formula.
I.e. Why does r*e^theta*i =cos(theta) +sin(theta)*i?

[Gogo14]

Also how would you even do this mc question,
(Quickly)

[Sine]

Also how would you even do this mc question,
(Quickly)

sub in an extremely random number for theta i.e theta = 0.023231

evaluate the question and all the answers and select the one which does not match