topic 1: number & alegbra Flashcards
(16 cards)
1
Q
nCr = ?
- when r = 2
*not given in databooklet
A
[n(n-1)]/r!
- r must = 2
2
Q
[a^(log-b-c)] = c
UNDER WHAT CONDITION
b=log base
A
IF a=b
3
Q
0!
A
1
4
Q
e^x properties
A
- y values cannot be negative
- y values cannot be 0
- y values must be positive
5
Q
tan(x) = ?
A
[sin(x)]/[cos(x)]
6
Q
log(1) (base 10)
A
0
7
Q
log(decimal)
(base 10)
(-)ve or (+)ve
A
negative number
8
Q
log(x)
what is x when y=0
(base 10)
A
(1,0)
9
Q
nCr = ?
- when r = 3
*not given in databooklet
A
[n(n-1)(n-2)]/r!
- r must =3
10
Q
nCr = ?
- when r = 4
*not given in databooklet
A
[n(n-1)(n-2)(n-3)]/r!
- r must =4
11
Q
nCr = ?
- when r = 5
*not given in databooklet
A
[n(n-1)(n-2)(n-3)(n-4)]/r!
- r must =5
12
Q
nCr = ?
- general
*not given in databooklet
A
[n(n-1)(n-2)(n-3)(n-4)(n-5)(n-…)(n-(r-1)]/r!
- … refers to increasing until you get to (r-1)
13
Q
concave up
A
- minimum
- 2nd derivative is positive
- 1st derivative is increasing
14
Q
concave down
A
- maximum
- 2nd derivative is negative
- 1st derivative is decreasing
15
Q
point of inflection
A
- greatest rate of change
- 2nd derivative is 0
- concavity must change at point of inflection
16
Q
A
