Input interpretation : Result : Rational approximation

35.50+12% 35.50
Input interpretation :
35.5 + 12% ´ 35.5
Result :
39.76
Rational approximation:
39 +
19
25
Generated
by Wolfram|Alpha
(www.wolframalpha.com)
onJuly22,2011 fromChampaign,
IL.
© WolframAlphaLLC—A Wolfram Research Company
1
39.76-10% 39.76
Input interpretation :
39.76 - 10% ´ 39.76
Result :
35.78
Rational approximation:
35 +
98
125
Generated
by Wolfram|Alpha
(www.wolframalpha.com)
onJuly22,2011 fromChampaign,
IL.
© WolframAlphaLLC—A Wolfram Research Company
1
H35.78-35.50L35.50 100%
Input interpretation :
35.78 - 35.5
35.5
´ 100%
Result :
0.007887
Rational approximation:
14
1775
Generated
by Wolfram|Alpha
(www.wolframalpha.com)
onJuly22,2011 fromChampaign,
IL.
© WolframAlphaLLC—A Wolfram Research Company
1
k=@1-H-3LDH-2-5L
Input :
k‡
1 - -3
-2 - 5
Exact result :
-
4
7
HirreducibleL
Decimal approximation:
-0.571428571428571428571428571428571428571428571428571428571…
-0.571428 Hperiod 6L
Repeating decimal:
Number line:
-1.0
-0.8
-0.6
-0.4
-0.2
Prime factorization:
2
-1
-2 ´ 7
Egyptian fraction expansion:
-1 +
1
3
+
1
11
+
1
231
Generated
by Wolfram|Alpha
(www.wolframalpha.com)
onJuly22,2011 fromChampaign,
IL.
© WolframAlphaLLC—A Wolfram Research Company
1
e^H5 ln2-ln 8L
Input :
ã 5 logH2L-logH8L
Exact result :
4
Number line:
3.0
3.5
4.0
4.5
5.0
Alternative representations:
ã 5 logH2L-logH8L ‡ ã 5 logHaL loga H2L-logHaL loga H8L
Seriesrepresentations:
ã 5 logH2L-logH8L ‡ exp 10 ä Π
4 logHxL + 5 â ¥
argH2 - xL
2Π
-2äΠ
H- 1L k H2 - xL k x -k
k =1
k
argH8 - xL
2Π
- â¥
k =1
+
H- 1L k H8 - xL k x -k
k
for x < 0
Integral representations:
ã 5 logH2L-logH8L ‡ ãÙ1
2
I
7
6-7 t
+t Mât
5
Generated
by Wolfram|Alpha
(www.wolframalpha.com)
onJuly22,2011 fromChampaign,
IL.
© WolframAlphaLLC—A Wolfram Research Company
1