VCE Methods Question Thread!

[minhalgill]

The theory is beyond the scope of the course but if X ~ B(n, p) and if n is large and/or p is close to ½, then X is approximately N(np, npq)

what does n have to be greater than to be considered large? and how close to 1/2 should p be?

[minhalgill]

does anyone know how to do this?
thanks

[Lear]

can soemone please help with this?

Don't think this is relevant anymore.

what does n have to be greater than to be considered large? and how close to 1/2 should p be?

This is explained perfectly well in your textbook. Make use of it.

does anyone know how to do this?
thanks

1. Find the average rate of change over [0,2] using the rate of change formula.
2. Find the average value over [0,2] using the average value formula and double this average value.
3. Equate these two expressions and solve for k.

[minhalgill]

1. Find the average rate of change over [0,2] using the rate of change formula.
2. Find the average value over [0,2] using the average value formula and double this average value.
3. Equate these two expressions and solve for k.

i tried doing this, but i get -2 instead of 2?

[Lear]

-2 should be correct.

[minhalgill]

-2 should be correct.

the answer is 2

[Sine]

the answer is 2

Seems like NEAP made a mistake since they have said that average rate of change =  2 x average value of f(x) but don't use this in the solution.

[sailinginwater]

Is there a quicker way to sketch trig graphs in exam 1 for sine and cos without finding all the x intercepts, y intercepts, turning, and "joining the dots"?

[S200]

Know the basic shape and apply transformations in your head?
Dilations are a bit harder to do...

[sailinginwater]

But considering a trig graph in exam 1 was only last asked in 2006, and has never shown up in an exam 1 since then, does this mean it's unlikely to show up this year as well?

[Lear]

Is there a quicker way to sketch trig graphs in exam 1 for sine and cos without finding all the x intercepts, y intercepts, turning, and "joining the dots"?

https://youtu.be/QOojzHldwfc

[minhalgill]

is there a formula for solving questions like this? how should i solve them?

[TheBigC]

is there a formula for solving questions like this? how should i solve them?

For this Q, you use this formula twice and divide by 2 (or use another method)... this formula is very logical, representing the area of a rectangle of height, average value of f(x) in domain, divided by base (domain length).

[sailinginwater]

How do mav, neap and heffernan compare with vcaa in terms of difficulty?

[Sine]

How do mav, neap and heffernan compare with vcaa in terms of difficulty?

MAV/NEAP maybe a touch harder but still within the range of what vcaa may give.
Heffernan on the easier side