VCE Methods Question Thread!

[tennis1]

Hey guys,

I don't know how similar the VCE methods course is to WA's (they've changed the whole curriculum this year) but if it's fairly similar, could some one plz help me with this question?

Actually it's not letting me attach the question so i'll just try and explain it...
Basically, there's this normal distribution graph and between a and b the area is shaded as 95%. Given e(x)=5 and sd(x) is 2, find values of a and b
Thanks in advance!!

[MB_]

Hey guys,

I don't know how similar the VCE methods course is to WA's (they've changed the whole curriculum this year) but if it's fairly similar, could some one plz help me with this question?

Actually it's not letting me attach the question so i'll just try and explain it...
Basically, there's this normal distribution graph and between a and b the area is shaded as 95%. Given e(x)=5 and sd(x) is 2, find values of a and b
Thanks in advance!!

Working attached, hopefully it makes sense

[tennis1]

Working attached, hopefully it makes sense

wow thank you so so much! this actually makes soo much sense
 

[tennis1]

Also MB__

do you know how to do it if the

the normal distribution is 16% shaded to the left where a is the max point
and e(x)=30 and sd(x)
how to find a?

[MB_]

Also MB__

do you know how to do it if the

the normal distribution is 16% shaded to the left where a is the max point
and e(x)=30 and sd(x)
how to find a?

Working is attached. I assume you forgot to give the standard deviation to just substitute it in to the equation. Hope this helps!

[tennis1]

oh ok  cool thanks again MB

[Guideme]

A particle moves in a straight line so that after t seconds its position, s metres, is given by s= t^4+ 3t^2.
Find the average acceleration between t=1 and t=3.
Thank you

[Syndicate]

A particle moves in a straight line so that after t seconds its position, s metres, is given by s= t^4+ 3t^2.
Find the average acceleration between t=1 and t=3.
Thank you

[Guideme]

Thank you all who have answered my questions !!
Im sorry if i spam this forum with questions but i have so many questions that i dont know . -.-'
a
1. For the variable x,y and z, it is known that z=x^2y and 2x+y=50. Find the maximum value of z if x is an element of [0,25].

2. Consider the cubic function with rule f(x)=(x-a)^2(x-1), where a>1. State the nature of each of the turning points.

[MightyBeh]

Thank you all who have answered my questions !!
Im sorry if i spam this forum with questions but i have so many questions that i dont know . -.-'
a
1. For the variable x,y and z, it is known that z=x^2y and 2x+y=50. Find the maximum value of z if x is an element of [0,25].

2. Consider the cubic function with rule f(x)=(x-a)^2(x-1), where a>1. State the nature of each of the turning points.

solutions attached fam.

Was going to show two methods for your second question but I'm a little bit lazy. Second method would have been using the second derivative.

[HasibA]

anyone have any good notes to put in a bound reference predominantly for the new statistics include in methods/ places to get prac questions for it ? thank you 
edit: can anyone help me with the logic jump here, my brain is friend and i cant seem to get it, thanks heaps ! solving for c

[MB_]

anyone have any good notes to put in a bound reference predominantly for the new statistics include in methods/ places to get prac questions for it ? thank you 
edit: can anyone help me with the logic jump here, my brain is friend and i cant seem to get it, thanks heaps ! solving for c

cos(2π)=1, take -1/2π across to the other side and you end up with c=3/2π

[HasibA]

cos(2π)=1, take -1/2π across to the other side and you end up with c=3/2π

haha so simple, my brain turns to mush after a 4 exam day- thanks heaps

[tennis1]

Hey guys,
Does anyone know how to do this part of a question?

Question 1

So there's this pdf graph (triangular)
with f(x)= x/24 from 0 <x< 4
            =  -1/48(x-12) from 4<x<12

Find w such that P(w<x<12)=0.25

nb. sorry if it doesn't make sense because I can't attach graph

Question 2

anyone know how to do this?

Given that log𝑎3 = 𝑥 and log𝑎5 = 𝑦 ,

Evaluate exactly 𝑎4^x

Question 3

Also how do you differentiate log functions?? is it the same as ln?
I'm so confused

EG. y=log7x

thanks!!

Moderator Action: Merged multiple posts. In the future please modify your previous post if it hasn't been answered yet.

[MB_]

Also how do you differentiate log functions?? is it the same as ln?
I'm so confused

EG. y=log7x

thanks!!

\(\frac{d}{dx}(log_ax)=\frac{1}{xln(a)}\)

\(\frac{d}{dx}(log_7x)=\frac{1}{xln(7)}\)