f ( x ) 2 x
g ( x ) x
2
f ( x ) b x
b 0, b 1
( 2)1 2
2
f ( x ) 2 x f ( x ) 1
x
1
18
f(x
16 14 12 10 8
f ( x ) 1 / 2
x
f ( x ) 2 x
6 4 2 0
-6
-4
-2
0
x 2
4
6
f ( x) b x b 1 f ( x ) b x 0 b 1
b 1 b x 0 b 1 b x
x
y
y
1 1
x
1 1
2 4
1
x 4 2 4 2
2
3 5 3 0 2 5 2 0 1 5 1 0 5 0 -4
-3
-2
-1
0
1
2
3
4
a 1 b 1
a
x y
a x a y a x y x
x a a b x b
a x a
y
a xy
ab x a x b x
a x y
a x a y x y x 0 a x b x a b
27 x
`1
9
27 x 1 9
3
3 x 1
32
33 x 3 3 2 3 x 3 2
a
x y
a xy
3 x 1 x
1 3
3
/ P P0 2 t d
P P0 2
t / d P P0 2
P0 100 d
21
/ 21 P 100 2 t
15 / 21 164 P 100 2
30 / 21 269 P 100 2
4
600.00
p
500.00
400.00
300.00
200.00
100.00
t
0.00 0
10
20
30
40
50
60
1 A A0 2
t / h
1 A A0 2
n / n
1 A A0 0 2 2
5
1 A A0 2
t / h
A0 100 h 46,5 A 100 2 t / 46 ,5 t 24
A 100 2
24 / 46 , 5
69,9
t 168
A 100 2
80 .00
168 / 46 , 5
8,17
A
70 .00 60 .00 50 .00 40 .00 30 .00 20 .00 10 .00
t 0.00 0
5 0
1 0 0
15 0
2 0 0
2 50
0,08 2
A1 $1,000 $1,000
$1,000(1 0,04)
P 1
r
n
A2 A1 (1 0,04)
$1,000(1 0,04)
2
r P 1 n
2
6
A3 A2 (1 0,04)
$1,000(1 0,04)
P 1
3
r
3
n
A4 A3 (1 0,04)
$1,000(1 0,04)
P 1
4
r
4
n
A $1,000(1 0,04)12
r A P 1 n
nt
y 3 x ; [ 3,3] x
1 y ; [ 3,3] 3 h( x ) 5 3 ; [ 3,3] x
g ( x ) 3 x 3 5; [ 6,0] 2 x 1 8 3
5 3 x 25 x 3 2
100 x 10 5 x 3 100 2 x 4 1000 x 4 a 2 a 2
7
a b a 4 b 4
8
1 1 m
m
1 1 m
m
1
1
m
m
m
1 1 m 2
f ( x ) e x
9
y e x y e x
y e x
y e x
f ( x ) 3 x , g ( x ) 2 x y
e x
x 0 x 0
y 2e x
/ 2 y 2e x 5
/ 2
5
10
N N 0 e
1.386 t
N 0 1 t 5
N N 0 e1.386 N e
t
1.386 ( 5 )
N 1.020
N 0 1 t 12 N N 0 e N e
1.386 t
1.386 (12 )
N 16 . 700
A A0 e
0.000124 t
A0
11
A0
A 1.000e
1.000
0.000124 t
t 10.000 A 1.000e
0.000124 t
1.000e 0.000124 (10.000 ) 289
t 50.000 A 1.000e 0.000124 t 1.000e 0.000124 ( 50.000 ) 203
r A P 1 n
nt
P $100, r 0.08 t 2
0.08 A 1001 n
2n
0.08 A 1001 n
2n
12
r A P1 n
nt
A P 1
r
nt
n
1 A P 1 n / r
( n / r ) rt
rt
1 m A P 1 n / r m m m
1 1 e m m n / r m n nt
r A P 1 Pe rt n n A Pe rt
A Pe rt
13
P $100, r 0,08 t 2 A Pe rt
100e 0, 08( 2) $117,35
A Pe rt
y ce kt
c, k 0
c 0
t
y ce kt
c, k 0
c
0
t
kt y c 1 e
c, k 0
c
0
t
14
y
M kt
1 ce c, k , M 0
M
0
t
y e y
e
x
x
y 2 e x 2 M ( x ) e x / 2 e x / 2
15
