Maths Equations

Question 1

a^xa^y=

Answer 1

a^x+y

Question 2

a^x/a^y

Answer 2

a^x-y

Question 3

(a^x)^y

Answer 3

a^xy

Question 4

x+a^n in logs

Answer 4

n=logax

Question 5

y-y1=

Answer 5

m(x-x1)

Question 6

Arithmetic Progression?

Answer 6

un= a+ (n-1)d

Question 7

Geometric Progression?

Answer 7

un= ar^n-1

Question 8

area of trapezium

Answer 8

1/2 (a+b)h

Question 9

Volume of a prism

Answer 9

area of cross section times length

Question 10

arc length in radians

Answer 10

rangle

Question 11

area of circle in radians

Answer 11

1/2 r^2angle

Question 12

sin rule

Answer 12

a/sinA = b/sinb = c/sinc

Question 13

cosine rule

Answer 13

a^2 = b^2 + c^2 -2bccosA

Question 14

Area of a triangle

Answer 14

1/2 absinC

Question 15

cos^2 + sin^2 =

Answer 15

1

Question 16

sec^2A =

Answer 16

1 + tan^2A

Question 17

cosec^2A =

Answer 17

1 + cot^2A

Question 18

sin2A =

Answer 18

2sinAcosA

Question 19

cos2A =

Answer 19

cos^2A - sin^2A

Question 20

cos2A =

Answer 20

1-sin^2A

Question 21

cos2A =

Answer 21

cos^2A - 1

Question 22

tan2A =

Answer 22

2tanA/1-tan^2A

Question 23

Differentiate sinkx

Answer 23

kcoskx

Question 24

Differentiate coskx

Answer 24

-ksinkx

Question 25

Differentiate e^kx

Answer 25

ke^kx

Question 26

Differentiate lnx

Answer 26

1/x

Question 27

Differentiate f(x) + g(x)

Answer 27

f’(x) + g’(x)

Question 28

product rule

Answer 28

u’v + uv’

Question 29

Differentiate f(g(x))

Answer 29

f’(g(x))g’(x)

Question 30

Integrate x^n

Answer 30

(1/n+1)x^n+1 + c

Question 31

Integrate coskx

Answer 31

(1/k)sinkx +c

Question 32

Integrate sinkx

Answer 32

(-1/k)coskx + c

Question 33

Integrate e^kx

Answer 33

(1/k)e^kx + c

Question 34

Integrate 1/x

Answer 34

ln|x| + c

Question 35

How do you calculate area under a curve?

Answer 35

integrate using limits

Question 36

|xi + yj + zk|

Answer 36

Root of x^2 + y^2 + z^2

Question 37

weight =

Answer 37

mass times g

Question 38

F =

Answer 38

ma

Question 39

how to sva correlate in variable acceleration

Answer 39

differentiate and integrate to get equation for each