SixT4
01-10-2006, 05:51 AM
My C2 Maths A-Level module is in a few hours and there's a few things that might come up that I'm not sure about.
The Trapezium Rule.
It's simple, but I'm still not sure how it works and I don't think I have any notes on it.
Trapezium = 1/2(h){(y0 + yn) + 2(y1 + y2 ... + yn)}
h = (a-b)/2
Say you have six values of x and y. Is h always the first value of x subtracted from the last all divided by 2? So if there's six values of x and y and the 6th value of x is 20 and the 1st is 0, h = 10, right (in the question I'm given a list of values)?
n = the number of coordinates? For 6 values of x and y the equation will be:
Trapezium = 1/2(h){(y0 + y5) + 2(y1 + y2 y3 + y4 + y5)}?
In the 2nd bracket do you just put in the values of y, except for y0 in sequential order and add them?
Logs
I can't remember how you change the base of a log. Formula and explanation, anyone?
Equation of a circle
If you're told to find the x coordinate(s) of where two circles touch/intersect, do you do it in the same way you'd find the intersection of two lines/curves? What do you do with the y^2 etc. in the equations?
I would've posted this in the Maths/Science forum, but there's only 5 viewing that compared to 48 viewing OOT /images/graemlins/cool.gif
The Trapezium Rule.
It's simple, but I'm still not sure how it works and I don't think I have any notes on it.
Trapezium = 1/2(h){(y0 + yn) + 2(y1 + y2 ... + yn)}
h = (a-b)/2
Say you have six values of x and y. Is h always the first value of x subtracted from the last all divided by 2? So if there's six values of x and y and the 6th value of x is 20 and the 1st is 0, h = 10, right (in the question I'm given a list of values)?
n = the number of coordinates? For 6 values of x and y the equation will be:
Trapezium = 1/2(h){(y0 + y5) + 2(y1 + y2 y3 + y4 + y5)}?
In the 2nd bracket do you just put in the values of y, except for y0 in sequential order and add them?
Logs
I can't remember how you change the base of a log. Formula and explanation, anyone?
Equation of a circle
If you're told to find the x coordinate(s) of where two circles touch/intersect, do you do it in the same way you'd find the intersection of two lines/curves? What do you do with the y^2 etc. in the equations?
I would've posted this in the Maths/Science forum, but there's only 5 viewing that compared to 48 viewing OOT /images/graemlins/cool.gif