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Reply 580
I swear whoever thought logs were a good idea needs shooting. "ooh it'll make it simpler" make it simpler my arse.
Original post by gadzoinks
Ok. Last post of the night.
Capacity is volume.
It looks weird, but its a trapezium prism if such a thing exists.
Like all prisms, work out the Area of the shaped side x length
Area of a trapezium = (1/2)(B1 + B2)H
(1/2)(8x + 10x)(x)


Then times by length (y)

So Volume = (1/2)(8x + 10x)(x)(y)


and go from there.

(Hope I'm right :3)



how would you do part b, and yes you're right as I checked the mark scheme but it doesn't explain how to do part b really well
Reply 582
Original post by Jambone2
I swear whoever thought logs were a good idea needs shooting. "ooh it'll make it simpler" make it simpler my arse.


LOL!

They're not that bad:P
Original post by Arusa01
LOL!

They're not that bad:P


Do you want the whore-of-this-thread award? :colone:
(edited 11 years ago)
Reply 584
Original post by pixelfrag
Do you want the whore-of-this-thread award? :biggrin:


How is she a whore? hahahaha get a grip k.
(edited 11 years ago)
Original post by Roshniroxy
how would you do part b, and yes you're right as I checked the mark scheme but it doesn't explain how to do part b really well


Oh this is a fun question @_@

Part b is now focusing on surface area.
So the surface area of this tray = The two trapezium sides + the two rectangle sides and the large rectangle base.

Trapazoids
A=(1/2)(8x+10x)(x)

Rectangle sides
A = (y)(x)

Rectangle base
A = (8x)(y)


Area of tray = (1/2)(8x+10x)(x) + (1/2)(8x+10x)(x) + (y)(x) + (y)(x) + (8x)(y)


Simplify that down.
Now we have an expression in terms of A, x and y. However, if you look at what you are trying to reach, the expression is only in A and x.

You have to then substitute Part A into Part B.
So substitute whatever Y = blah blah for Y in part B.

Simplify and you should get the what you are aiming for.
Reply 586
Out of interest, given that y = 900/9x^2 which divides down to 100/x^2, could this not be simplified through square rooting to 10/x ? hence y= 10/x
Original post by EffKayy
How is she a whore? hahahaha get a grip k.


Not sure if you're serious or not :colondollar:
All nighter for me! Already falling asleep...
i know this is going to sound stupid, but how do we know when to use the sine or the cosine rule? :colondollar:


can anyone walk me through part b? i've got no idea what they did with the logs there
Reply 591
Original post by pixelfrag
Do you want the whore-of-this-thread award? :colone:


HAAAA! what is that makes you think that I deserve such an award? :biggrin:
Original post by Roshniroxy
So this is a really hard question that I'm stuck on, anyone care to help me. I can do part a but not the rest :/


I might as well do the rest of the problem Cx

I just posted B.

Part C.
Stationary point = key word for "I have to differentiate something!"

A stationary points are the points where the derivative = 0. In this case, dA/dx =0.
It says you are looking for the value of x.

So you are looking for value of x when dA/dx = 0

So differentiate A= something something
Set it equal to 0
Solve for x.
REMEMBER 3 SIG FIGS :biggrin:

d.
The minimum value of A is easy to find.
You probably got only one answer for C.
Plug it back into A=blah blah and solve for A. Done :biggrin:


Now, to prove its a minimum point.
The best way to prove a minimum point is to take a second derivative.
So find out what d^2A/dx^2 is.

Take your X value and plug it into the second derivative.

This is the way I remember it!
If the second derivative is negative , the graph of the derivative it looks like a frowny face ^. That means its a maximum.
If the second derivate is positive, the graph of the derivative looks likea happy face U . The means its a minimum.

Anyway. You should get a positive answer.
So put
d^2A/dx^2 > 0 Therefore your x is a minimum ;P
Reply 593
Original post by gadzoinks
Oh this is a fun question @_@

Part b is now focusing on surface area.
So the surface area of this tray = The two trapezium sides + the two rectangle sides and the large rectangle base.

Trapazoids
A=(1/2)(8x+10x)(x)

Rectangle sides
A = (y)(x)

Rectangle base
A = (8x)(y)


Area of tray = (1/2)(8x+10x)(x) + (1/2)(8x+10x)(x) + (y)(x) + (y)(x) + (8x)(y)


Simplify that down.
Now we have an expression in terms of A, x and y. However, if you look at what you are trying to reach, the expression is only in A and x.

You have to then substitute Part A into Part B.
So substitute whatever Y = blah blah for Y in part B.

Simplify and you should get the what you are aiming for.


my god I've just lost all hope in myself ;(

How did you get the area of the rectangles at the side? why is it just (y)(x)? do you not need to take into account the incline of 45 degrees?

for c) i'm pretty sure you work out dy/dx or in this case dA/dx and then make this equal 0, then work out x from there.

d) differentiate again d^2A/dx^2 and then put in the x value from c) and it'll be positive (>0) meaning it's a minimum

can we all pray to god that a question like this doesn't comeup
Original post by Roshniroxy
So this is a really hard question that I'm stuck on, anyone care to help me. I can do part a but not the rest :/


What paper is this question from? I'd very much like to attempt the paper before my actual C2 exam.
Original post by Arusa01
HAAAA! what is that makes you think that I deserve such an award? :biggrin:


Nothing at all bbygurl, noothing at all xoxo
Original post by Jambone2
Out of interest, given that y = 900/9x^2 which divides down to 100/x^2, could this not be simplified through square rooting to 10/x ? hence y= 10/x


No. You'd have to square root y as well if you did that.
Reply 597
Original post by Arusa01
HAAAA! what is that makes you think that I deserve such an award? :biggrin:


shes YOLO
hahahahahahahahahhahahahahaahhhhhhhhhhhhaa
Reply 598
Original post by pixelfrag
Nothing at all bbygurl, noothing at all xoxo


Hmmmmmm :s-smilie:

Original post by EffKayy
shes YOLO
hahahahahahahahahhahahahahaahhhhhhhhhhhhaa


LOL!
Original post by gadzoinks
I might as well do the rest of the problem Cx

I just posted B.

Part C.
Stationary point = key word for "I have to differentiate something!"

A stationary points are the points where the derivative = 0. In this case, dA/dx =0.
It says you are looking for the value of x.

So you are looking for value of x when dA/dx = 0

So differentiate A= something something
Set it equal to 0
Solve for x.
REMEMBER 3 SIG FIGS :biggrin:

d.
The minimum value of A is easy to find.
You probably got only one answer for C.
Plug it back into A=blah blah and solve for A. Done :biggrin:


Now, to prove its a minimum point.
The best way to prove a minimum point is to take a second derivative.
So find out what d^2A/dx^2 is.

Take your X value and plug it into the second derivative.

This is the way I remember it!
If the second derivative is negative , the graph of the derivative it looks like a frowny face ^. That means its a maximum.
If the second derivate is positive, the graph of the derivative looks likea happy face U . The means its a minimum.

Anyway. You should get a positive answer.
So put
d^2A/dx^2 > 0 Therefore your x is a minimum ;P


for part b upon simplifying i got 1000/x^2 + 18x^2 not what they asked for :/

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