Pure 2

Question 1

∫1/ax+b

Answer 1

dx 1/a ln Iax+bI +c

Question 2

binomial expansion

give x=1/2 should not be used in the exlantional to find an aproximation to √3

Answer 2

set expression to x and show x=1/2 isnt in the domain of x

Question 3

trapexium rule

h

Answer 3

what is added to x each time

Question 4

why does f not have an inverse

Answer 4

one to many function doesnt exist

Question 5

u=3^x

Answer 5

3^x ln3

Question 6

first principle sin/cos/tan

Answer 6

use small angle aprox

only for h

Question 7

20
Σ
n=1

Answer 7

always arithmetic

Question 8

arithetic equations

d

Answer 8

what you add not times

Question 9

When co-ordinates are given vectors

Answer 9

With respect to zero

Question 11

staircase diagram

Answer 11

gets bigger by smaller amounts

x1 = 3
x2 = 3.6
x3 = 3.72
x4 = 3.731

Question 12

cobweb diagram

Answer 12

gets bigger by

Question 13

iteration

diverges

Answer 13

moves away from a root, often
increasingly quickly

Question 14

cobweb

Answer 14

gets bigger then smaller

Question 15

turnign point

Answer 15

always make first point the opposite of whats in the brackt

Question 16

sin 2A

Answer 16

2sinAcosA

Question 17

cos 2A

Answer 17

cos²A - sin²A
2cos²A - sin²A
2cos²A -1
1 - 2sin²A

Question 18

tan 2A

Answer 18

2 tan / 1-tan²A

Question 19

differentiate

sin kx dy/dx

Answer 19

kcoskx

Question 20

differentiate

coskx dy/dx

Answer 20

-ksinkx

Question 22

e^kx dy/dx

Answer 22

ke^kx

Question 23

differentiate

lnx dy/dx

Answer 23

1/x

Question 24

sec x

Answer 24

1/cos x

Question 25

When asked to form an exponential equation

Answer 25

V= Ae^kt

Question 26

When asked to check reliability of model

Answer 26

Use a calculator e.g. e to the power of 2.3

Question 27

When asked to check reliability of model

Answer 27

Use a calculator e.g. e to the power of 2.3

Question 28

If asked how to change exponential equation for a car thats value decreases slower

Answer 28

Change the k to a less negative jumber

Question 29

cosec x

Answer 29

1/ sin x

Question 30

cot x

Answer 30

1/ tan x

Question 31

cot x

Answer 31

cos x / sin x

Question 32

cast diagram labeling

Answer 32

start in botom right corner and go antioclockwiese

Question 33

f(x) = A + where A and B are constants to be found. f(x) = 8x + 5 2x + 3 x > − 3 2 B 2x + 3

Answer 33

Not partial fractions Divide them

Question 35

Irrational number

Answer 35

Surd, pie