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summary mathematics 1 for economics, week 1-3
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summary of the course material from week 1-3. so everything dor the midterm
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Essential Mathematics For Economic Analysis, 6th edition
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mathematics, Linear functions (Polinomials of degree 1)
·
f(x) b =
Ax +
·
a so increasing ,
a < 0 decreasing
Quadratic functions (polinomials of degree 2)
·
f(x) =
ax +
bx +
c
/
a 0
Line of Simmetri X
:
· =
-
a
- as0 f(x) his
= minimum at x = -
a
-a =
0
=
>fex) his maximum at x
=
-
Fa
2 methods of finding intersection points with the X-Axis
1 . ABC formuli
2 .
factorizing
1. ABC formul
b bi D> 0 => 1 Solutions
-
= -
47
Xiz
=
2a D =
0 = 1 solution
D = 0 = no Solutions
D =
b2 -
4AC
2 .
factorizing
(X +
a)(x b) +
=
x +
ax +
bx +
ab =
x2 (a b) x
+ + + ab
polimomials of degree
Domain :
Dr =
I
Rational functions
f(x) = D
=
[x5(R(a(x) = 0)
f(x) =
0 = >P(x) =
0 and Q(X) = O
power Function e
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