What square root best approximates the point on the graph?
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1
N15
128
153

Using binomial expansion,

√

a

2

+

b

=

a

(

1

+

b

a

2

)

1

2

=

a

(

1

+

1

2

b

a

2

)

, nearly.

Here, choose a = 66 and b = 44.

Now,

√

4400

=

√

66

2

+

44

=

√

66

2

+

44

=

66

(

1

+

44

66

2

)

1

2

66

(

1

+

1

2

(

44

66

2

)

)

=

66

(

1

+

1

198

)

=

66

+

1

3

=

66.33

, nearly.

Note that the error is of order 66(1/198)^2=O(.002), nearly.

Explanation:

c

the articles of confederation placed most of the power on the feds

question 1: a) thurgood marshall

question 2: b) the civil rights act of 1964

question 3: c) brown v board of education

question 4: d) creation of the dept of education

question 5: a) welfare and social security

explanation: