VCE Methods Question Thread!

[Mc47]

Oh yea makes sense thanks Mc47 

is the reason they have 1 in the front of their working out due to the reason that she 100% scores first hence 1 ?

No worries

And yes

[Apink!]

Hi,

a quick question:

if a question asks you to find the "absolute maximum and minimum"

are you expected to just write the y-values or the coordinates of the points where it's absolute max/min (so also the x-values) ?

Thanks

[lzxnl]

If it just says 'find the extremum', that's implying 'find the maximum value'. You probably could get away with not finding x values, but it's safest to include them. I mean, for VCE questions, you tend to find the x values before the y values.

[Orson]

So...when doing all that 'strictly increasing' stuff, do you include the endpoint?

Like this:
[a, b], and not (a, b)

Thanks!

[cosine]

So...when doing all that 'strictly increasing' stuff, do you include the endpoint?

Like this:
[a, b], and not (a, b)

Thanks!

Yes include endpoints for strictly increasing/decreasing

[knightrider]

For this question attached ?

The answer says as follows

A dilation of factor 2 from the y-axis and a reflection in the y-axis  followed by translations of 4 units to the left and 2 upwards.

Shouldn't the answer be

A dilation of factor 2 from the y-axis and a reflection in the x-axis  followed by translations of 4 units to the left and 2 upwards.

Who is right?

[cameotodd]

Do we include end points regarding an interval about strictly increasing/decreasing?

[StupidProdigy]

Do we include end points regarding an interval about strictly increasing/decreasing?

Yep, it's not about gradients which everyone seems to think, so it's defined and therefore part of the strictly increasing domain, assuming the function is actually strictly increasing aha

[odeaa]

Two real numbers, a and b, are randomly chosen from the interval [0,1]. Find the probability that the equation has no real solutions

This question threw me (Q11 CSE 2015 if anyone was wondering). I solved for the discriminant and got which is 1 mark (( checked the answers), but I have no idea how to apply this to the question.

Assist me brethren

[knightrider]

For this question attached ?

The answer says as follows

A dilation of factor 2 from the y-axis and a reflection in the y-axis  followed by translations of 4 units to the left and 2 upwards.

Shouldn't the answer be

A dilation of factor 2 from the y-axis and a reflection in the x-axis  followed by translations of 4 units to the left and 2 upwards.

Who is right?

Can anyone clarify this please.
 

[knightrider]

How do they get the answer in the image attached?

[vanilla and sunflower]

Two real numbers, a and b, are randomly chosen from the interval [0,1]. Find the probability that the equation has no real solutions

This question threw me (Q11 CSE 2015 if anyone was wondering). I solved for the discriminant and got which is 1 mark (( checked the answers), but I have no idea how to apply this to the question.

Assist me brethren

Is it by any chance 0.8?

[YellowTongue]

Can someone please help me solve this question:

A particle moves according to the hybrid function, where x=displacement in metres and t=seconds:

x={2t+1,t€[0,2]
        {t^2-2t+5,t€(2,5]

€ means is an element of, coudln't get the proper symbol...

From t=1 to t=b, the particle moves with an average velocity of 2.9m/s, find b



I just can't figure it out. Thank you for your help 

[keltingmeith]

Two real numbers, a and b, are randomly chosen from the interval [0,1]. Find the probability that the equation has no real solutions

This question threw me (Q11 CSE 2015 if anyone was wondering). I solved for the discriminant and got which is 1 mark (( checked the answers), but I have no idea how to apply this to the question.

Assist me brethren

This is a pretty cool question... And definitely not VCE level. Requires multivariate calculus or knowledge of Fourier series.

[knightrider]

How would you do this question attached ?