CALCULATION EXAMPLES
EXEMPLES DE CALCUL
ANWENDUNGSBEISPIELE
EJEMPLOS DE CÁLCULO
EXEMPLOS DE CÁLCULO
ESEMPI DI CALCOLO
REKENVOORBEELDEN
PÉLDASZÁMÍTÁSOK
PŘÍKLADY VÝPOČTŮ
RÄKNEEXEMPEL
LASKENTAESIMERKKEJÄ
UDREGNINGSEKSEMPLER
CONTOH-CONTOH PERHITUNGAN
陹ꩥ꾽
PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA
07HGK (TINSZ1308EHZZ)
1 J
100000 ÷ 3 =
[NORM1] j 100000 z 3
= U U33'333.33333
[FIX: TAB 2] @ J 1 0 233'333.33
[SCI: SIG 2] @ J 1 1 23.3b04
[ENG: TAB 2]@ J 1 2 233.33b03
[NORM1] @ J 1 333'333.33333
3 ÷ 1000 =
[NORM1] j 3 z 1000 =
U0.003
[NORM2] @ J 1 43.b
-
03
[NORM1] @ J 1 30.003
2 U
2 3
⎯ + ⎯ =
5 4
j 2 W 5 r
+ W 3 r 4
=
3
1
⎯
20
U 23
⎯
20
U1.15
U 3
1
⎯
20
P
3 ×
P
5 =@ * 3 r k
@ * 5 =H
15
U3.872983346
P
2 ÷ 3 + P
5 ÷ 5 =@ * 2 r z 3
+ @ * 5 r
z 5 =3Q
5+5Q
2
⎯
15
U0.918618116
8−2 − 34 × 52 =8 m S 2 r
& 3 m 4 r
k 5 A =
63
-
2024
⎯
64
U 129599
-
⎯
64
U
-
2'024.984375
o8 m S 2 &
3 m 4 k 5
A =
-
2'024.984375
U
-
2024
m
63
m
64
U
-
129599
m
64
(123)1
⎯
4 =( 12 m 3
r ) m
1 W 4 =6.447419591
o( 12 m 3 )
m 1 W 4 =6.447419591
83 =8 @ 1 =512.
p
49 − 4p
81 =@ * 49 r & 4
@ D 81 =4.
o@ * 49 & 4
@ D 81 =4.
3p
27 =@ q 27 =3.
4! =4 @ B =24.
10P3 =10 @ e 3 =720.
5C2 =5 @ c 2 =10.
500 × 25% =500 k 25 @ a125.
120 ÷ 400 = ?% 120 z 400 @ a30.
500 + (500 × 25%) =500 + 25 @ a625.
400 − (400 × 30%) =400 & 30 @ a280.
| 5 − 9
| =@ W 5 & 9 =4.
o@ W ( 5 & 9
) =4.
θ = sin−1
x, θ = tan−1
xθ = cos−1
x
DEG −90 ≤ θ ≤ 90 0 ≤ θ ≤ 180
RAD −π
⎯
2 ≤ θ ≤ π
⎯
20 ≤ θ ≤ π
GRAD −100 ≤ θ ≤ 100 0 ≤ θ ≤ 200
7 F G
2
8(x2 − 5)dxj F 2 u 8 r
; X A & 5
n = 100 =138.
n = 10 l l H 10 =138.
oj F ; X A & 5
H 2 H 8 ) =138.
l l H 10 =138.
− −1
1(x2 − 1)dx
+ 1
3(x2 − 1)dx =
S F S 1 u 1 r
; X A & 1 r +
F 1 u 3 r ; X A
& 1 =8.
11
6 + 4 = ANS j 6 + 4 =10.
ANS + 5 =+ 5 =15.
8 × 2 = ANS 8 k 2 =16.
ANS2 =A =256.
44 + 37 = ANS 44 + 37 =81.
ANS =@ * =9.
12 W k
1 4
3
⎯ + ⎯ =
2 3 j 3 @ k 1 d 2
r + W 4 d 3 =
5
4
⎯
6
U29
⎯
6
U4.833333333
o3 W 1 W 2
+ 4 W 3 =*
4m5m6
U29m6
U4.833333333
102
⎯
3 =@ Y 2 W 3 =4.641588834
(
7
⎯
5
)
5 =7 W 5 r m 5 =16807
⎯
3125
o7 W 5 m 5 =16807m3125
1
⎯
8
3 =@ q 1 W 8 =1
⎯
2
64
⎯
225 =@ * 64 W 225 =8
⎯
15
23
⎯
34 =2 @ 1 W 3 m 4 =8
⎯
81
o2 @ 1 W ( 3 m 4
) =8m81
1.2
⎯
2.3 =1.2 W 2.3 =12
⎯
23
1°2’3”
⎯
2 =1 [ 2 [ 3 W 2 =0(31q1.5"
1 × 103
⎯
2 × 103 =1 ` 3 W 2 ` 3 =1
⎯
2
7 A j 7 x A7.
4
⎯
A = 4 W ; A =4
⎯
7
1.25 + 2
⎯
5 =1.25 + 2 W 5 = 13
1
⎯
20
U33
⎯
20
U1.65
o1.25 + 2 W 5 =1.65
U1m13m20
U33m20
* 4m5m6 = 5
4
⎯
6
13 z r g h / d n 4
p x C
DEC (25) BIN j @ / 25
@ zBIN 11001
HEX (1AC) @ h 1AC
BIN @ zBIN 110101100
PEN @ rPEN 3203
OCT @ gOCT 654
DEC @ /428.
(1010 − 100)
× 11 =
[BIN]
@ z (
1010 &
100) k 11
=BIN 10010
BIN (111)
NEG d 111 =BIN 1111111001
HEX (1FF) +
OCT (512) =
@ h 1FF
@ g +
512 = OCT 1511
HEX (?) @ hHEX 349
2FEC
− 2C9E
M1
+) 2000 − 1901
M2
—
M
=
j x M
@ h 2FEC
& 2C9E mHEX 34E
2000 &1901
mHEX 6FF
t M
j x M HEX A4D
1011 AND 101 =
[BIN] @ z 1011
4 101 =BIN 1
5A OR C3 =
[HEX] @ h 5A p
C3 =HEX DB
NOT 10110 =
[BIN] @ z n
10110 =BIN 1111101001
24 XOR 4 =
[OCT] @ g 24 x
4 =OCT 20
B3 XNOR 2D =
[HEX] @ h B3 C
2D =HEXFFFFFFFF61
DEC @ /
-
159.
14 [ :
7°31’49.44” [10] j 7 [ 31 [
49.44 @ :
663
7
⎯
1250
123.678 [60] 123.678 @ :123(40q40.8"
3h 30m 45s +
6h 45m 36s = [60]
3 [ 30 [ 45
+ 6 [ 45 [
36 =10(16q21."
1234°56’12” +
0°0’34.567” = [60]
1234 [ 56 [
12 + 0 [ 0
[ 34.567 =1234(56q47."
3h 45m – 1.69h
= [60]
3 [ 45 & 1.69 =
@ :2(3q36."
sin 62°12’24”
= [10] v 62 [ 12 [
24 =0.884635235
24° [”] 24 [ N 486q400.
1500” [’] 0 [ 0 [ 1500
N 525.
15 u E H
(
x = 6
y = 4
(
r =
θ = [°] j 6 H 4
@ u
r:
{:
7.211102551
33.69006753
(
r = 14
θ = 36 [°]
(
x =
y =
14 H 36
@ E
X:
Y:
11.32623792
8.228993532
16 K L
V0 = 15.3 m/s
t = 10 s
V0t + 1
⎯
2gt2 = ? m
j 15.3 k 10 +
2 @ Z k K 03
k 10 A =
U643.3325
125 yd = ? m j 125@ L 05 =
U U114.3
•
Physical constants and metric conversions are shown in the tables.
•
Les constantes physiques et les conversions des unités sont
indiquées sur les tableaux.
•
Physikalische Konstanten und metriche Umrechnungen sind in
der Tabelle aufgelistet.
•
Las constants fi sicas y conversiones métricas son mostradas
en las tables.
•
Constantes fi sicas e conversões métricas estão mostradas nas
tablelas.
•
La constanti fi siche e le conversioni delle unità di misura vengono
mostrate nella tabella.
•
De natuurconstanten en metrische omrekeningen staan in de
tabellen hiernaast.
•
A fi zikai konstansok és a metrikus átváltások a táblázatokban
találhatók.
•
Fyzikální konstanty a převody do metrické soustavy jsou uvedeny
v tabulce.
•
Fysikaliska konstanter och metriska omvandlingar visas i tabellerna.
•
Fysikaaliset vakiot ja metrimuunnokset näkyvät taulukoista.
•
Fysiske konstanter og metriske omskrivninger vises i tabellen.
• •
•
Konstanta fi sika dan konversi metrik diperlihatkan di dalam tabel.
• 斲殯
͑
儆垫穢
͑
恂庲
͑
旇朞
͑
愕
͑
埮氊
͑
筞斶
͑
愯憛汆
͑
埪汒
͑
祢歆
͑
償枻城埪͟
K
01–52
01: c, c0(m
s–1)19: µB(J
T–1)37: eV(J)
02: G(m3
kg–1
s–2)20: µe(J
T–1)38: t(K)
03: gn(m
s–2)21: µN(J
T–1)39: AU (m)
04: me(kg) 22: µp(J
T–1)40: pc (m)
05: mp(kg) 23: µn(J
T–1)41: M(12C)(kg
mol–1)
06: mn(kg) 24: µµ(J
T–1)42: h
-
(J s)
07: mµ(kg) 25: λc(m) 43: Eh(J)
08: 1u(kg) 26: λc, p (m) 44: G0(s)
09: e(C) 27: σ(W
m–2
K–4)45: α–1
10: h(J
s) 28: NA, L(mol–1)46: mp/me
11: k(J
K–1)29: Vm(m3
mol–1)47: Mu(kg
mol–1)
12: µ0(N
A–2)30: R(J
mol–1
K–1)48: λc, n (m)
13: ε0(F
m–1)31: F(C
mol–1)49: c1(W
m2)
14: re(m) 32: RK(Ω)50: c2(m
K)
15: α33: –e/me(C
kg–1)51: Z0(Ω)
16: a0(m) 34: h/2me(m2
s–1) 52: atm (Pa)
17: R∞(m–1)35: γp(s–1
T–1)
18: Φ0(Wb) 36: KJ(Hz
V–1)
x
@
L
01–44
01: in cm 16: kg 31: calIT J
02: cm in 17: °F°C32: J calIT
03: ft m 18: °C °F 33: hp W
04: m ft 19: gal (US) L 34: W hp
05: yd m 20: L gal (US) 35: ps W
06: m yd 21: gal (UK) L 36: W ps
07: mi km 22: L gal (UK) 37: kgf/cm2Pa
08: km mi 23: fl oz(US) mL 38: Pa kgf/cm2
09: n mi m 24: mL fl oz(US) 39: atm Pa
10: m n mi 25: fl oz(UK) mL 40: Pa atm
11: acre m226: mL fl oz(UK) 41: mmHg Pa
12: m2acre 27: calth J 42: Pa mmHg
13: oz g 28: J calth 43: kgf·m N·m
14: g oz 29: cal15 J 44: N·m kgf·m
15: lb kg 30: J cal15
17 N (ENG)
100 m × 10 k = ? 100 N 3 4 k
10 N 3 0 =1'000.
18 n J
[FIX, TAB = 1] j @ J 1 0 10.0
5 ÷ 9 = ANS 5 z 9 =5
⎯
9
U0.6
ANS × 9 =k 9 = *15.0
5 z 9 =5
⎯
9
U0.6
[MDF] @ n3
⎯
5
ANS × 9 =k 9 = *2 2
5
⎯
5
U U5.4
[NORM1] @ J 1 35.4
*1 5
⎯
9 × 9 = 5.5555555555555 × 10−1 × 9
*2 3
⎯
5 × 9 = 0.6 × 9
19 N (ALGB)
f(x) = x3 − 3x2 + 2 j ; X @ 1
- 3 ; X A + 2
x = −1N 1 S 1 e
-
2.
x = −0.5 N 1 S 0.5 e 1
1
⎯
8
A2
+
B2@ * ; A A
+ ; B A
A = 2, B = 3 N 1
2 e 3 eH
13
A = 2, B = 5 N 1
e 5 eH
29
20 N (SOLVER)
sin
x − 0.5 j v ; X - 0.5
Start = 0 N 2 0 e e30.
Start = 180 e 180 e e150.
21 _ H R v p c g o Q
G s i j h f a b S
V U
DATA
95
80
80
75
75
75
50
b 1 0
@ Z
S#a# 0 [SD]
0.
95 _DATA SET= 1.
80 _DATA SET= 2.
_DATA SET= 3.
75 H 3 _DATA SET= 4.
50 _DATA SET= 5.
x
– =t Rx
–=75.71428571
σx =t pσx=12.37179148
n =t cn=7.
Σx =t gΣx=530.
Σx2 =t oΣx2=41'200.
sx =t vsx=13.3630621
sx2 =A =sx2=178.5714286
(95 − x
–)
⎯
× 10 + 50 =
sx
( 95 &
; R )
z ; v
k 10 + 50
=64.43210706
24 N ( t, P
(
, Q
(
, R
(
)
DATA
xF
20
30
40
50
60
70
80
90
1
3
5
8
13
10
7
3
b 1 0
@ Z
S#a# 0 [SD]
0.
20 H 1 _DATA SET= 1.
30 H 3 _DATA SET= 2.
40 H 5 _DATA SET= 3.
50 H 8 _DATA SET= 4.
60 H 13 _DATA SET= 5.
70 H 10 _DATA SET= 6.
80 H 7 _DATA SET= 7.
90 H 3 _DATA SET= 8.
x
– = t Rx
–=60.4
σx = t pσx=16.48757108
x = 35 P(t)?N 2 35 N 1
) =0.061713
x = 75 Q(t)?N 3 75 N 1
) =0.312061
x = 85 R(t)?N 4 85 N 1
) =0.067845
t = 1.5 R(t)?N 4 1.5 ) =0.066807
25 b (CPLX)
(12 − 6i) + (7 + 15i)
− (11 + 4i) =
b 3
12 - 6 O + 7 + 15 O
- ( 11 + 4 O
) =8.
+5.K
6 × (7 − 9i)
× (−5 + 8i) =
6 k ( 7 - 9 O )
k ( S 5 + 8 O )
=222.
+606.K
16 × (sin 30° +
icos 30°) ÷ (sin 60°
+ icos 60°) =
16 k ( v 30 + O
$ 30 ) z ( v 60
+ O $ 60 )
=13.85640646
+8.K
y
x
A
B
r
r
2
θ1
θ2
r
1
θ
r1 = 8, θ1 = 70°
r2 = 12, θ2 = 25°
r = ?, θ = ?°
@ u 8 Q 70 + 12 Q
25 =18.5408873
42.76427608
1 + i
r = ?, θ = ?°
@ E 1 + O
=1.
+1.K
@ u1.414213562
45.
(2 − 3i)2 =@ E ( 2 - 3 O )
A =
-
5.
-
12.K
1
⎯
1
+
i = ( 1 + O ) @ Z
=0.5
-
0.5K
CONJ(5 + 2i) = N 1 ( 5 + 2 O )
=5.
-
2.K
EL-W506
EL-W516
EL-W546
sin 45 =v 45 = Q
2
⎯
2
U0.707106781
2cos−1 0.5 [rad] =@ J 0 1
2 @ ^ 0.5 =
2
⎯J
3
U2.094395102
3 u d
@ Z 0.
3(5 + 2) =3 ( 5 + 2 ) =21.
3 × 5 + 2 =3 k 5 + 2 = 17.
(5 + 3) × 2 =( 5 + 3) k 2 =16.
@ u21.
d17.
d16.
u17.
4 + & k z ( ) S `
45 + 285 ÷ 3 =j 45 + 285 z 3
=140.
(18 + 6) ÷ (15 − 8) =( 18 + 6 ) z
(
15 & 8 =
3
3
⎯
7
42 × −5 + 120 =42 k S 5 + 120
=
-
90
(5 × 103) ÷ (4 × 10−3) =5 ` 3 z
4 ` S 3 =1'250'000.
5
34 + 57 =34 + 57 =91.
45 + 57 =45 =102.
68 × 25 =68 k 25 =1'700.
68 × 40 =40 = 2'720.
6 v $ t w ^ y s H >
i l O " V Y Z A 1
* m D q B e c a W
@ P 00.
sin 60 [°] =j v 60 =Q
3
⎯
2
U0.866025403
cos π
⎯
4 [rad] =@ J 0 1
$ @ s W 4 =
Q
2
⎯
2
U0.707106781
tan−1
1 [g] =@ J 0 2
@ y 1 =50.
@ J 0 0
(cosh 1.5 + sinh 1.5)2 = j ( H $
1.5 + H v
1.5 ) A =20.08553692
5
tanh−1
⎯ =
7
@ > t (
5 z 7 ) = 0.895879734
ln 20 =i 20 =2.995732274
log 50 =l 50 = 1.698970004
log2 16384 =@ O 2 r 16384 =14.
o@ O 2 H 16384 )
=14.
e3 =@ " 3 =20.08553692
1 ÷ e =1 z ; V
=0.367879441
101.7 =@ Y 1.7 =50.11872336
1 1
⎯ + ⎯ =
6 7
6 @ Z + 7
@ Z =
13
⎯
42
U0.309523809
d(x4 − 0.5x3 + 6x2)
⎯
dx
@ G ; X m 4 r
& 0.5 ; X @ 1
+ 6 ; X A
(
x = 2
dx = 0.00002 r 2 =50.
(
x = 3
dx = 0.001
l l N 3
H 0.001 =130.5000029
o@ G ; X m 4
& 0.5 ; X @ 1
+ 6 ; X A H 2
) =50.
l l N 3
H 0.001 =130.5000029
8 I
5
∑
x
=
1(x + 2) j @ I 1 r 5 r
; X + 2
n = 1 =25.
n = 2 l l H 2 =15.
oj @ I ; X + 2
H 1 H 5 ) =25.
l l H 2 =15.
9 ]
90° [rad] j 90 @ ] 1
⎯ J
2
[g] @ ]100.
[°] @ ]90.
sin−1 0.8 = [°] @ w 0.8 =53.13010235
[rad] @ ]0.927295218
[g] @ ]59.03344706
[°] @ ]53.13010235
10 ; t x m M < [ ] T
X I
J
K
L
8 × 2 M j 8 k 2 x M 16.
24 ÷ (8 × 2) =24 z ; M = 1
1
⎯
2
(8 × 2) × 5 =; M k 5 =80.
0 M j x M0.
$150
× 3 M1
+) $250: M1 + 250 M2
−) M2 × 5%
–
M
=
150 k 3 m450.
250 m250.
t M k 5 @ a
@ M35.
t M665.
$1 = ¥110 (110 Y) 110 x Y110.
¥26,510 = $? 26510 z ; Y
=241.
$2,750 = ¥? 2750 k ; Y
=302'500.
r = 3 cm (r Y) 3 x Y3.
πr2 = ?
@
s
;
Y
A
=
U28.27433388
24
⎯
4 + 6 = 2
2
⎯
5
…(A) 24 z ( 4 + 6
) =
2
2
⎯
5
3 × (A) + 60 ÷ (A) =3 k ; < + 60
z ; < =
1
32
⎯
5
πr2 F1
r = 3 cm (r Y)
4
3
V = ?
@ s ; Y A
x [jF1
3 x Y 3.
t [ k 4
z 3 = U 37.69911184
sinh−1 D1 x I @ > v
sinh−1 0.5 =I 0.5 =0.481211825
DATA
xy
2
2
12
21
21
21
15
5
5
24
40
40
40
25
b 1 1
@ Z
S#a# 1 [LINE]
0.
2 H 5 _DATA SET= 1.
_DATA SET= 2.
12 H 24 _DATA SET= 3.
21 H 40 H 3
_DATA SET= 4.
15 H 25 _DATA SET= 5.
a =t aa=1.050261097
b =t bb=1.826044386
r =t fr=0.995176343
sx =t vsx=8.541216597
sy =t Gsy=15.67223812
x = 3 y´ = ? 3 @ U 3y´6.528394256
y = 46 x´ = ? 46 @ V46 x´24.61590706
DATA
xy
12
8
5
23
15
41
13
2
200
71
b 1 2
@ Z
S#a# 2 [QUAD]
0.
12 H 41 _DATA SET= 1.
8 H 13 _DATA SET= 2.
5 H 2 _DATA SET= 3.
23 H 200 _DATA SET= 4.
15 H 71 _DATA SET= 5.
a =t aa=5.357506761
b =t bb=
-
3.120289663
c =t Sc=0.503334057
x = 10 y´ = ? 10 @ U 10 y´24.4880159
y = 22 x´ = ? 22 @ V
22x´
1:
2:
9.63201409
-
3.432772026
22 _ H u d #
DATA
20
30
40
40
50
DATA
30
45
45
45
60
b 1 0
@ Z
S#a# 0 [SD]
0.
20 _DATA SET= 1.
30 _DATA SET= 2.
40 H 2 _DATA SET= 3.
50 _DATA SET= 4.
d @ #DATA SET= 3.
d d d
45
_X: 45.
3 _F: 3.
d 60 _X: 60.
j
23
x
– = Σx
⎯
nσx = Σx2 − nx
–2
⎯
n
sx = Σx2 − nx
–2
⎯
n − 1
Σx = x1 + x2 + … + xn
Σx2 = x12 + x22 + … + xn2
y
– = Σy
⎯
nσy = Σy2 − ny
–2
⎯
n
sy = Σy2 − ny
–2
⎯
n − 1
Σxy = x1y1 + x2y2 + … + xnyn
Σy = y1 + y2 + … + yn
Σy2 = y12 + y22 + … + yn2