July 08, 2020, 11:10:41 pm

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colline

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« Reply #18555 on: May 26, 2020, 07:50:07 pm »
+1
Thanks so much! Sorry last thing, to factor that all i had to do is take out the 2/5 and put the rest in brackets?
Yeah, I don't think you can factorise anything else.

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Azila2004

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« Reply #18556 on: May 26, 2020, 10:13:11 pm »
0
Hellooo!

Hope you guys are well. I have a question on circular functions: A circle passes through the origin and has the equation x^2+y^2+bx+cy=0. It also passes through (4,4). For what value of b does the circle touch the y-axis?

I seriously need to work on circular functions lol.
Just someone who likes to learn a lot of questions.

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whys

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« Reply #18557 on: May 26, 2020, 10:35:24 pm »
+3
Hellooo!

Hope you guys are well. I have a question on circular functions: A circle passes through the origin and has the equation x^2+y^2+bx+cy=0. It also passes through (4,4). For what value of b does the circle touch the y-axis?

I seriously need to work on circular functions lol.
A successive list of hints: (try to do it yourself with as few hints as possible)
Spoiler
sub in (4,4) into the equation and see what you get.
Spoiler
rearrange the equation you got for c in terms of b.
Spoiler
sub this into the original equation.
Spoiler
to find where it touches the y-axis, let x = 0
Spoiler
your answer should be -2 (the equation has two y-ints: (0,0) and (0,-2)
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Trent2002

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« Reply #18558 on: May 27, 2020, 03:02:43 pm »
0
Hello All,

Could someone please show how you work out the attached questions (I'll be sooo grateful). If it helps to find the answers, the area of the window is 44/3 m^2 and the perimeter is 4.59+3+3+4 = 14.59m (im pretty sure this is correct). I'm mostly unsure about the first question and i believe the second question is found be just doing 44/3 x 855.60 (is this still correct?).

Thank-you!
« Last Edit: May 27, 2020, 03:05:35 pm by Trent2002 »

whys

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« Reply #18559 on: May 28, 2020, 07:59:54 pm »
0
Hi guys,

The attached question related to what the domain of T(X) has caused debate with many of my friends. What do you guys reckon it is, ive heard people say: (0,200), (0,200], [0,200) and [0,200]. Very confused.

Hello, I remember doing a variation of this question (same diagram but different names) a while back. The answer for the domain should be [0,200]. There's no reason why x can't be 0 or 200, because that still results in a point on the rectangle. There is no rule in the question stating that d must be a diagonal line, so x can be anywhere from 0 to 200 (both included).
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Geoo

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« Reply #18560 on: May 29, 2020, 10:08:37 pm »
0
How should I define a composite functions?

Should  I define the function:
such as if the functions are h(x)= 4 g(x)= x^2

Should I do g: R--> R, g(4)=4^2

or

should I do g:R-->R, g(h(x))=4^2
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colline

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« Reply #18561 on: May 29, 2020, 11:02:25 pm »
+4
Best to use the second one. Saying g(4) gives the impression that you're just plugging x=4 into the equation (which is essentially what you're doing if h(x) is just a straight line, but you need to show the assessors you know what the question is asking for)

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kat05

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« Reply #18562 on: May 30, 2020, 01:47:38 pm »
0
Hey!

That is my mistake, I've gone back and edited my previous post to reflect the change. Good pickup!

k is some constant of proportionality - ie. we just use it to denote some placeholder value that lies within the real numbers to describe a relationship between two things that change with respect to each other. You might be more familiar with 'T is proportional to some f(x)' or '$T \propto f(x)$' - this is just another way of writing the exact same thing. We know it goes there because in the question it explicitly states the time taken to move upstream is directly proportional to the difference in y-coordinates

Hope this helps

Yes, I just checked the post again and it makes sense Thank you so much you legend! Helped me heaps!!

kat05

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« Reply #18563 on: May 30, 2020, 01:59:27 pm »
0
Hello,
Could someone please help me out with part f of Q4 from 2011 methods exam 2? Help would be greatly appreciated!!

Jennynghiem

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« Reply #18564 on: May 30, 2020, 02:13:58 pm »
0

The side view of a roller coster in a hamster's cage is shown below, where h is the vertical height, in mm, of the roller coaster above the bottom of the cage and x is the horizontal distance, in mm, from the start of the roller coaster.
The start of the roller coaster is (0,125), where it is attached to the side of the cage. The maximum height reached by the roller coaster is 250 mm and the roller coaster first reaches the bottom of the cage when x=500. The end of the roller coaster is where it touched the bottom of the cage for the second time.
The highest point of the roller coaster can be modelled by the equation h= Asin(nx) + B, where A, N, and B are real constants.

a) Find the values of A, n and B

b) It is found that the roller coaster is not strong enough to support large hamsters. It is decided that supports are required under each of the 'high points' of the roller coaster. The support is a cuboid of width 50mm. (I can't show the picture but it is a square with a bottom length of 50mm and an upside down parabola on top)

What is the maximum height the cuboid structure can be if its edges touch the arch? Give your answer correct to the nearest millimetre.

MB_

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« Reply #18565 on: May 30, 2020, 02:34:37 pm »
+1

The side view of a roller coster in a hamster's cage is shown below, where h is the vertical height, in mm, of the roller coaster above the bottom of the cage and x is the horizontal distance, in mm, from the start of the roller coaster.
The start of the roller coaster is (0,125), where it is attached to the side of the cage. The maximum height reached by the roller coaster is 250 mm and the roller coaster first reaches the bottom of the cage when x=500. The end of the roller coaster is where it touched the bottom of the cage for the second time.
The highest point of the roller coaster can be modelled by the equation h= Asin(nx) + B, where A, N, and B are real constants.

a) Find the values of A, n and B

b) It is found that the roller coaster is not strong enough to support large hamsters. It is decided that supports are required under each of the 'high points' of the roller coaster. The support is a cuboid of width 50mm. (I can't show the picture but it is a square with a bottom length of 50mm and an upside down parabola on top)

What is the maximum height the cuboid structure can be if its edges touch the arch? Give your answer correct to the nearest millimetre.

Is there a particular part of the question you are struggling with?
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Jennynghiem

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« Reply #18566 on: May 30, 2020, 02:38:38 pm »
0
I don't understand both of them unfortunately

The Cat In The Hat

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« Reply #18567 on: June 01, 2020, 10:45:26 am »
0
Bound reference - can I use my textbook and then tape an exercise book onto it, if I construct out of tape a single spine?
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eloisegrace

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« Reply #18568 on: June 01, 2020, 04:55:48 pm »
+1
Bound reference - can I use my textbook and then tape an exercise book onto it, if I construct out of tape a single spine?

Technically yes, however, I think most would agree that this is not necessary and you should probably make a concise summary of the textbook that YOU understand. A big bound reference may sound enticing but is not as good as it sounds when you spend 5 minutes trying to find a single formula.

Try making a summary of notes and complex questions as I find this is the best bound reference
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colline

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