Flashcards in Bits and bobs Deck (29)

Loading flashcards...

1

## What is an odd function?

### When -f(x) = f(-x)

2

## What is an even function?

### When f(x) = f(-x)

3

## What are the limits if a function is rotated about the x axis?

### X- Values

4

## When the function is rotated about the y-axis, what is the subject of the function?

### X=.... (f(y))

5

## What does a row of zero's indicate?

### The equation is redundant. There are an infinite number of soliutions

6

## What happens if a row becomes 000:5?

### The system of equations is inconsistent. There is no solution to the system of equations

7

## What is an ill-conditioned system of equations?

### A small change in the equations leads to a significant change in the solutions.

8

## If x=y^3/4 what does y=?

### y=x^4/3

9

## f'(y) =?

### 1/dx/dy

10

## If y=sin^(-1)x/a what does dy/dx equal?

###
1

------

(a^2-x^2)^1/2

11

## If y=cos^(-1)x/a what does dy/dx equal?

###
-1

------

(a^2-x^2)^1/2

12

## If y=tan^(-1)x/a what does dy/dx equal?

###
a

-----

a^2+x^2

13

## If the equation for a circle is x2 + y2 + 2gx + 2fy + c = 0, what is the centre?

### (-g,-f)

14

## If the equation representing a circle is (x – a)2 + (y – b)2 = r2 what is the centre?

### a,b

15

## What is the equation for the radius of a circle?

### (g^2 +f^2 -c)^1/2

16

## What does dy/dx equal when differentiating parametric equations?

### dy/dt x 1/dx/dt

17

## What is the formula to work out the second derivative of parametric equations?

### d/dt of (dy/dx) x dt/dx

18

## What is the formula for integration in parts?

### INT(fg')=fg - INT(f'g)

19

## What is the domain and range for sin^-1x ?

###
Domain, between -90 and +90

Range, between -1 and 1

20

## What is the domain and range for cos^-1x?

###
Domain, between 0 and 180

Range, between -1 and 1

21

## What is the domain and range for tan^-1 x?

###
Domain, between -90 and +90

Range, between -infinity and positive infinity.

22

## What is the order of a differential equation?

### The order of the highest derivative involved. dy/dx = 1st d^2y/dx^2 = 2nd

23

## What is the degree of a differential equation?

### The power of the highest derivative involved.

24

## What is the formula for an arithmetic sequence?

### Un= a+d(n-1)

25

## What is the formula for a geometric sequence?

### Un=ar^(n-1)

26

## What is the formula for an arithmetic series?

### Sn = n/2(2a + (n-1)d)

27

## What is the formula for an arithmetic series if you know the last term?

### Sn = n/2 (a+L)

28

## What is the formula for a geometric series?

### Sn = a(1-r^n)/(1-r)

29