Maths Pure Flashcards
(12 cards)
1
Q
Differentiation
A
dy/dx multiply by power then subtract 1 from power
2
Q
Integration
A
add 1 to power then divide by new power
3
Q
Line distance
A
√(x2 - x1) + (y2 - y1)
4
Q
Line midpoint
A
(x1 + x2/2 , y1 + y2/2)
5
Q
Line gradient
A
(y2 - y1 / x2 - x1)
6
Q
completing the square
A
(x + a)^2 + b
half x term square and take away
7
Q
Discriminant
A
b^2 - 4ac > 0 = 2
b^2 - 4ac = 0 = repeated
b^2 - 4ac < 0 = no solution
8
Q
Transformations
A
y = f (x) +/- a = y coord changes
y = f (x +/- a) = x coord changes opposite to whatever it says
9
Q
cosine rule
A
a^2 = b^2 + c^2 - 2bcCOSA
10
Q
Sine rule
A
a/sinA = b/sinB
11
Q
Area of a trapezium
A
1/2 (a + b)h
12
Q
Area of a triangle
A
1/2abSINC
1/2(b x h)
