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 H35.78-35.50L35.50 100% 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-3LDH-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 - ⥠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
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