Anyone know the extra bits and pieces (equations, formulae etc) we need to know for C3 (and C4).
So, for example, we are expected to know the area of a sphere and cone incase it comes up in a question.
Anything else?/can anyone direct me to another link from the website. Haven't yet been able to locate anything to answer my question.
this diagram helps to remember the differential and integral of sinx, cosx, -sinx and -cosx (useful for both C3 and C4). Identities (used when integrating C4): sin2x=2−1(cos2x−1), cos2x=21(cos2x+1), cos4x=2cos22x−1 and also cos4x=1−2sin22x and you also need to know how the double angle formulae is derived from addition formulae and sin2+cos2=1 (C3).
Asymptote is when 4-2x=0 Crosses the x axis when 4-2x=1
And another thing: If you want to draw inverse function graphs 1. Draw two lines as axes without labelling. 2. Sketch the graph of the function to be inversed using a pencil. 3. Make the east axis face your north. 4. Label the axes. Vertical is y horizontal is x 5. Reflect over the y axis 6. There's your inverse graphs
Practice this method with a few exampled. Like y=e^x to y=lnx, y=sinx to y=arcsinx
* I discovered this method for myself. Might not be reliable.
Thanks both of you, I'll write them down in my revision notes. However, they seem to refer to shortcuts that "help" answering questions, not necessarily equations you have to know otherwise you can't even begin to answer the question (like the area of sphere/cone).
It was more that kind of thing I was searching for.
Thanks both of you, I'll write them down in my revision notes. However, they seem to refer to shortcuts that "help" answering questions, not necessarily equations you have to know otherwise you can't even begin to answer the question (like the area of sphere/cone).
It was more that kind of thing I was searching for.
I'm fairly confident these things don't come up in C3/4
Thanks both of you, I'll write them down in my revision notes. However, they seem to refer to shortcuts that "help" answering questions, not necessarily equations you have to know otherwise you can't even begin to answer the question (like the area of sphere/cone).
It was more that kind of thing I was searching for.
I'm not sure about C3 but for C4 it is useful to know area and volume of sphere, cone, cube, cuboid and cylinder.
The area and volume equations come up in terms of connected rates of change...
I've seen one where the volume was in a differential equation but never one where you've needed to recall that volume of a cylinder = πr2h or anything like that . . . But just for general maths it's nice to know these things
I've seen one where the volume was in a differential equation but never one where you've needed to recall that volume of a cylinder = πr2h or anything like that . . . But just for general maths it's nice to know these things
Ah. Perhaps we've seen different questions. I've regularly seen questions where it says that the the height is expanding at