VCE Methods Question Thread!

[S61778]

For f(x)= |x^3(3-x)^4|   (Modulus graph)

What would f'(x) be
Like 2 equations and their domains

I think that the point x=0 is differentiable am I right?

Many thanks

Also if you could perhaps graph the derivitive that would be great cause I'm having trouble with that

[knightrider]

How would you solve simultaneously X^2+Y^2=4 and Y=2/x
how would you solve these algebraically for the intersection and simultaneously

[b^3]

How would you solve simultaneously X^2+Y^2=4 and Y=2/x
how would you solve these algebraically for the intersection and simultaneously

https://www.desmos.com/calculator/yvhr8qzxyt

[Bluegirl]

(Image removed from quote.)

Hopefully that helps! (and i haven't made any errors)

Helped heaps, thankyou!

[knightrider]

Thankyou so much and by the way how do you type in that type of format using the black bold colur

[IndefatigableLover]

Thankyou so much and by the way how do you type in that type of format using the black bold colur

The format is called and when replying it's the button to the left.

There's a few guides floating around on AN on how to use and they're listed below:

Re: Logs help
LaTeX typeset in Maths boards
List of LaTeX Resources

Alternatively, you could use CodeCogs to write out your equation and then just insert the image for other's to see (easier but takes more time)..

[soNasty]

a soft drink manufacturer, Fanola, wishes to sell soft drinks in a new cylindrical shaped aluminium can that can contain 250ml of liquid. find the dimensions of the can so that the amount of aluminium used will be a minimum.



(((((help))))))

I GOT IT DONT WORRY

[b^3]

1. Find an expression for the surface area of the can (two circles and a cylinder that is rolled out with length equal to the perimeter of the circle).
2. You need to get the SA in terms of one variable only, so you need either in terms of or in terms of . To do this you can use the piece of information for the volume of the can, equate that and rearrange for one of the variables.
3. Substitute this variable back into your expression for the SA area so that it is in terms of one variable only.
4. Do a quick sketch to make sure the minimum is at a turning point.
5. Differentiate your expression for the surface area and equate to zero, find the value of the variable you choose.
6. Substitute this back into the other expression to find the other dimension.
7. State the dimensions of the can for minimum material.
(8. Not required but you could then use this to find the amount of material that would be used)

[Reus]

Having trouble with this! Anyone?

[soNasty]

thank you B^3!!!!!

[Zealous]

Having trouble with this! Anyone?

Express the volume of the cylinder in terms of h, using the given information:



Take the derivative of V, in order to find dV/dh:



So the rate of change of V with respect to h is going to be a constant 9pi regardless of the height of the cylinder.

[Einstein]

Why is the co domain R and is it always R?

[Thorium]

Why is the co domain R and is it always R?

Are you to u refering to the co-domain that is written in function notation?
If so, i think that is used to represent the type of number that the elements of the range/image is gonna be. For example, if it is temperature, it is set of real numbers. If it is number of apples, then it should be set of integers/natural numbers

[Jason12]

when differentiating loge^x/x^3 I get to this answer

x^2-3x^2loge^x/x^6

can i cancel any further? the answers seem to suggest so

[kinslayer]

when differentiating loge^x/x^3 I get to this answer

x^2-3x^2loge^x/x^6

can i cancel any further? the answers seem to suggest so