August 12, 2022, 01:09:39 am

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Billuminati

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« Reply #19350 on: July 02, 2022, 08:32:02 pm »
+4
Hi All,

Much appreciated,
beep boop

I'm usually rubbish at maths but I'll attempt to answer anyways (see attached screenshot)
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PizzaMaster

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« Reply #19351 on: July 04, 2022, 01:43:35 pm »
0
Heyy guys,
If we have a question like
x^3 + 5x -10 has only one solution.
The solution lies between what (0 and 1, 1 and 2 etc.) ?
Do we solve it using a calculator and see what the graph looks like, but what if we are not allowed a CAS?

I have just another question
If a question says to find the maximum deviation from x-axis of a cubic graph ie. the height.
Can the deviation mean from both positive and negative side (maximum or minimum).

Thank you!!

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« Reply #19352 on: July 04, 2022, 03:09:31 pm »
+3
For the type of question 1, you probably need to use the rational root theorem and/or bisector method. If the equation have a rational root, definitely use the rational roots theorem after using bisector method to locate the possible interval.
For question 2, deviation means both sides.

beep boop

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« Reply #19353 on: July 04, 2022, 09:30:55 pm »
0
Hi All,

Can someone please help me with the highlighted parts? I thought for q9 splitting them would work but I couldn't find the right answer. For q10, I found the tangent at the negative x intercept but then I got stuck.

Much appreciated,
beep boop
class of '22
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yr 12 stuff :)

TnGn74

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« Reply #19354 on: July 05, 2022, 10:48:49 am »
+4
Hi beep boop,
I think that you have the right idea for q9.
$\int_1^6(f(x)+1)dx = \int_1^4f(x)dx + \int_4^6f(x)dx + \int_1^61dx$
Question 10 appears to be incompletely copied from the 2021 NHT exam and should read
Quote
The tangent to the graph of f is parallel to the line connecting the negative x-intercept and the y-intercept of f when x is equal to
Hope that helps!

PizzaMaster

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« Reply #19355 on: July 06, 2022, 05:22:44 pm »
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Hi guys
If a question says:
Write the answer in nearest cm, when the units are in metres.
Does to the "nearest cm" mean to write the answer in cm or could it be metres .(decimal) -- cm.
For example something like:
Y = x-1
Where x in metres
But then the answer says to "nearest cm"
can I write, for example, 3.45 metres
where the .45 is the "nearest cm"?

Thank you!

james.358

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« Reply #19356 on: July 07, 2022, 09:56:41 am »
+2
can I write, for example, 3.45 metres
where the .45 is the "nearest cm"?

Yep! This is exactly how you should do it. I know it might seem confusing, but it is the equivalent of the question asking you to "give your answers correct to 2 decimal places, in meters"
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ihavenolife:(

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« Reply #19357 on: July 07, 2022, 06:41:11 pm »
+1
Hey guys

Needed some help with this question

a) Find the derivative of x2ekx

b) Hence find an anti-derivative of xekx

I tried using Integration by Recognition on this question, since this is the only method my teacher will teach, but could never get the right answer. I sorta got stuck in a loop where to find one of the integrals I needed to find the integral of the other one.

Was wondering if any of you guys knew how to do it?

Thanks

no

1729

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« Reply #19358 on: July 07, 2022, 07:20:36 pm »
+1
Hey guys

Needed some help with this question

a) Find the derivative of x2ekx

b) Hence find an anti-derivative of xekx

I tried using Integration by Recognition on this question, since this is the only method my teacher will teach, but could never get the right answer. I sorta got stuck in a loop where to find one of the integrals I needed to find the integral of the other one.

Was wondering if any of you guys knew how to do it?

Thanks
Hi, ialsohavenolife!

Thank you very much for posting your working out, and good job on attempting the question!

As far as I can see, there is absolutely no issue with your working out and it's actually unsolvable in the scope of VCE Methods.

To be able to solve this you would need to know what $\int \:x^2e^{kx}dx$, which you do not know (as you pointed out).

EDIT: Response below is better, and is in the scope of methods, however, the question mentioned 'hence' which is why I didn't go with that approach, although it's valid.
« Last Edit: July 07, 2022, 08:15:35 pm by 1729 »

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« Reply #19359 on: July 07, 2022, 07:23:59 pm »
+4
That's how I did it. But it should not be in the study design for MM and even it posed a tricky question for Specialist. Maybe next year when proof would have more weight in the new SD.

beep boop

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« Reply #19360 on: July 09, 2022, 09:22:29 pm »
0
Hi All,

Much appreciated,
beep boop
class of '22
'21: viet sl [36], bio
'22: psych, methods, spesh, chem, eng lang
"Distance makes the heart grow fonder and proximity makes the heart want to barf."-Mr K, Never have I Ever
yr 12 stuff :)

Billuminati

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« Reply #19361 on: July 10, 2022, 04:08:49 am »
+3
Hi All,

Much appreciated,
beep boop

Q7: Set up 2 simultaneous equations using relevant probability formulas and solve for the 2 unknown probabilities
5/6 = 1/3 + Pr(B) - Pr(A n B)
3/4 = Pr(A n B) / Pr(B)
A and B are independent events only if Pr(A n B) = Pr(A) * Pr(B)

Q8: Do a Karnaugh map aka two way probability table for this one
VCE 2016-2018

2017: Biology [38], Further Maths [44]

2018: Methods [37], French [38], Chem [40], English [44]

UMAT: 56/43/80, 57th percentile (LLLLOOOOOOOOOLLLLLLLL)

ATAR: 98.1

2019-2021: Bachelor of Biomedical Science at Monash (Scholars), minoring in Chemistry

GAMSAT September 2021: 65/67/86, 76 overall (98th percentile)

2022: Chilling

2023+: Transfer to teaching degree

tiredandstressed

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« Reply #19362 on: July 11, 2022, 10:10:40 am »
+2
My methods is a little rusty but I think this might be the working for Q8
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beep boop

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« Reply #19363 on: July 14, 2022, 09:45:50 pm »
0
Hi All,

I'm kinda confused as to what to put on the tree diagram bc 1/3 and 5/9 doesn't add up to 1.

Much appreciated,
beep boop
class of '22
'21: viet sl [36], bio
'22: psych, methods, spesh, chem, eng lang
"Distance makes the heart grow fonder and proximity makes the heart want to barf."-Mr K, Never have I Ever
yr 12 stuff :)

james.358

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