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Flashcards in Final Maths Deck (173)
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1

What is the formula for nCr?

n!
------
r!-(n-r)!

2

What is (X+Y)^n ?

(n) (n-r) r
(r) x y

3

What is
*
-----------------------
(x+a)(x+b)^2

In partial fractions?

A B C
----- + --------- + ---------
(x+a) (x+b) (x+b)^2

4

What is
*
-----------------------
(x+a)(x^2 + bx +c)

In partial fractions?

A Bx + C
----- + --------------------
(x+a) (x^2 + bx + c)

5

Sin2x=

2sinxcosx

6

Cos2x=

cos^2x - sin^2x
1 - 2sin^2x
2cos^2x - 1

7

Cos(-x)=

Cos(x)

8

Sin(x)=

-Sin(x)

9

What is it when f''(0) is less than 0?

Maximum

10

What is S'(T) and S''(T) ?

Speed and acceleration

11

Sin^2X=

1/2 (1-cos2x)

12

Cos2x=

-1/2 (1+cos2x)

13

What is an odd function?

When f(-x) = -f(x) or when the function has half turn symmetry.

14

What is an even function?

When f(x)=f(-x) or when the function is symmetrical across the y axis

15

What is the function used to describe the position of an asymptote?

X---> n +/- : {let x = (n +/- 0.1)} y ---> +/- infinity

16

What is used to describe the domain?

{ X: XER, X () n}

17

How can you determine the range of a function?

The domain of the inverse

18

What are natural numbers (N)?

1,2,3,4,5

19

What are whole numbers (W)?

0,1,2,3,4

20

What are integer numbers (Z)?

-2,-1,0,1,2,3

21

What are rational numbers (Q)?

Numbers produced by a fraction

22

What are irrational numbers ?

Numbers which cant be written as a fraction

23

What are Real numbers (R)?

Amy number that isn't complex

24

What are complex numbers (C)?

The combination of a real and an imaginary number

25

What is ill-conditioning?

When a small change in the equation leads to a significant change in the solution.

26

When is a matrix redundant?

000:0

27

When is a matrix inconsistent?

000:3

28

Derivative of sin(ax)

acos(ax)

29

Derivative of cos(ax)

-asin(ax)

30

Derivative of tan(ax)

asec^2(ax)