Pre Calculus Math 12 Unit 2 SendIn Assignment OnLine Course
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UNIT 2
RADICAL AND RATIONAL FUNCTIONS
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PreCalculus 12 Unit 5 SendIn Assignment OnLine Course
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UNIT 5
CIRCULAR FUNCTIONS
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Pre—Calculus 12 Unit 4 SendIn Assignment OnLine Course
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UNIT 4
Exponents & Logarithms
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Unit 4 Sen
Pre Calculus Math 12 Unit 2 SendIn Assignment OnLine Course
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UNIT 2
RADICAL AND RATIONAL FUNCTIONS
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2012 Pag 1 of 14 Unit Pra Calculu
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Polynomials
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2012 Page 1 of 13 Unit3 PreCalculus Math 12
1. Use long division to determine the remain
Pre—Calculus 12 Unit 4 SendIn Assignment OnLine Course
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Exponents & Logarithms
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UNIT 3
Polynomials
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2012 Page 1 of 13 Unit3 PreCalculus Math 12
1. Use long division to determine the remainder an
M A 12 L G 17
8.3
Probability and Combinatorics
Factorial
n! = n(n 1)(n 2)(n 3)x . x1
Permutations: (order is important) abc is different from acb
n!
n P r = (nr)!
Combinations: (order isn't important) abc is same as acb
n!
nP r
=
nC r = r!
(nr)!r!
Exampl
M A 12 L G 14
6.5
(Sequences & Series2)
Geometric Series
t n = arn1
r =
a(1rr)
1r
n
= (a + l)
2
t2
= common ratio
t1
Sn =
a = first term
Sn
64
log(729)
(n 1) =
= 6
2
log(3)
n = 7
a = 15
n = number of terms
Example for 17:
Find the indicated partial sum o
M A 12 L G 15
7.1
The Fundamental Counting Principle
# of combinations = a x b x c x .
where a, b, c, are the number of choices in each category.
Example for 14:
Draw a tree diagram to list all the possibilities for the
following:
How many different comb
M A 12 L G 19
9.4
= np = 100(0.2)
= 20
The Normal Distribution Approximation
of the Binomial Distribution
= np
= =
npq
100(0.2)(0.8)
= 4
x
3020
z50 =
=
4 = 2.5
if np > 5, nq > 5
=
npq
if np > 5, nq > 5
where n = number of trials
p = probability
M A 12 L G 18
9.1
(Statistics1)
The Binomial Distribution
P
r
o
b
n!
P(success) = x!(nx)!(p)x(q)nx
= nCx(p)x(q)nx
where n = number of trials
p = probability of success
q = 1p
= probability of failure
Examples for 19:
Using the binomial distribution, wher
M A 12 L G 16
8.1
Probability and Sample Space
1
2
1
2
1
2
H
1
2
1
2
T
1
2
H
T
H
T
8.2
Dependent  if each event does affect the occurence of the
other event
Independent  if each event does not affect the occurence of
the other event
Mutually  in a sing
M A 12 L G 13
6.1
(Sequences & Series1)
Sequences
6.2
Recursive definition: tn = t n1 + .
Example for 16:
List the first 5 terms of the sequence.
t n = t n1 + n, t 1 = 2
n=1
n=2
n=3
n=4
n=5
2
2(2)+2 2(6)+3 2(15)+4 2(34)+5
2
6
15
34
73
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