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Flashcards in Bits and bobs Deck (29)
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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

What is the formula for a geometric series when r > 1

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