Maths Equations Flashcards
(39 cards)
1
Q
a^xa^y=
A
a^x+y
2
Q
a^x/a^y
A
a^x-y
3
Q
(a^x)^y
A
a^xy
4
Q
x+a^n in logs
A
n=logax
5
Q
y-y1=
A
m(x-x1)
6
Q
Arithmetic Progression?
A
un= a+ (n-1)d
7
Q
Geometric Progression?
A
un= ar^n-1
8
Q
area of trapezium
A
1/2 (a+b)h
9
Q
Volume of a prism
A
area of cross section times length
10
Q
arc length in radians
A
rangle
11
Q
area of circle in radians
A
1/2 r^2angle
12
Q
sin rule
A
a/sinA = b/sinb = c/sinc
13
Q
cosine rule
A
a^2 = b^2 + c^2 -2bccosA
14
Q
Area of a triangle
A
1/2 absinC
15
Q
cos^2 + sin^2 =
A
1
16
Q
sec^2A =
A
1 + tan^2A
17
Q
cosec^2A =
A
1 + cot^2A
18
Q
sin2A =
A
2sinAcosA
19
Q
cos2A =
A
cos^2A - sin^2A
20
Q
cos2A =
A
1-sin^2A
21
Q
cos2A =
A
cos^2A - 1
22
Q
tan2A =
A
2tanA/1-tan^2A
23
Q
Differentiate sinkx
A
kcoskx
24
Q
Differentiate coskx
A
-ksinkx
25
Differentiate e^kx
ke^kx
26
Differentiate lnx
1/x
27
Differentiate f(x) + g(x)
f'(x) + g'(x)
28
product rule
u'v + uv'
29
Differentiate f(g(x))
f'(g(x))g'(x)
30
Integrate x^n
(1/n+1)x^n+1 + c
31
Integrate coskx
(1/k)sinkx +c
32
Integrate sinkx
(-1/k)coskx + c
33
Integrate e^kx
(1/k)e^kx + c
34
Integrate 1/x
ln|x| + c
35
How do you calculate area under a curve?
integrate using limits
36
|xi + yj + zk|
Root of x^2 + y^2 + z^2
37
weight =
mass times g
38
F =
ma
39
how to sva correlate in variable acceleration
differentiate and integrate to get equation for each
