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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 2.5*e^(-0.1182*2/12)+2.5*e^(-0.1182*5/12)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12) .
Question type: Mathematical calculation
Solution:
2.5*e^(-0.1182*2/12)+2.5*e^(-0.1182*5/12)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)
=2.5*e^(-0.0197)+2.5*e^(-0.1182*5/12)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)
=2.5*e^-0.0197+2.5*e^(-0.04925)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)
=2.5*e^-0.0197+2.5*e^-0.04925+2.5*e^(-0.0788)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)
=2.5*e^-0.0197+2.5*e^-0.04925+2.5*e^-0.0788+2.5*e^(-0.10835)+102.5*e^(-0.1182*14/12)
=2.5*e^-0.0197+2.5*e^-0.04925+2.5*e^-0.0788+2.5*e^-0.10835+102.5*e^(-0.1379)
=2.5*2.718282^-0.0197+2.5*e^-0.04925+2.5*e^-0.0788+2.5*e^-0.10835+102.5*e^-0.1379
=2.5*2.718282^-0.0197+2.5*2.718282^-0.04925+2.5*e^-0.0788+2.5*e^-0.10835+102.5*e^-0.1379
=2.5*2.718282^-0.0197+2.5*2.718282^-0.04925+2.5*2.718282^-0.0788+2.5*e^-0.10835+102.5*e^-0.1379
=2.5*2.718282^-0.0197+2.5*2.718282^-0.04925+2.5*2.718282^-0.0788+2.5*2.718282^-0.10835+102.5*e^-0.1379
=2.5*2.718282^-0.0197+2.5*2.718282^-0.04925+2.5*2.718282^-0.0788+2.5*2.718282^-0.10835+102.5*2.718282^-0.1379
=2.5*0.980492775803154+2.5*2.718282^(-0.04925)+2.5*2.718282^(-0.0788)+2.5*2.718282^(-0.10835)+102.5*2.718282^(-0.1379)
=2.5*0.980492775803154+2.5*0.951943111210632+2.5*2.718282^(-0.0788)+2.5*2.718282^(-0.10835)+102.5*2.718282^(-0.1379)
=2.5*0.980492775803154+2.5*0.951943111210632+2.5*0.924224746316037+2.5*2.718282^(-0.10835)+102.5*2.718282^(-0.1379)
=2.5*0.980492775803154+2.5*0.951943111210632+2.5*0.924224746316037+2.5*0.897313475609511+102.5*2.718282^(-0.1379)
=2.5*0.980492775803154+2.5*0.951943111210632+2.5*0.924224746316037+2.5*0.897313475609511+102.5*0.871185798389229
=2.451232+2.5*0.951943111210632+2.5*0.924224746316037+2.5*0.897313475609511+102.5*0.871185798389229
=2.451232+2.379858+2.5*0.924224746316037+2.5*0.897313475609511+102.5*0.871185798389229
=2.451232+2.379858+2.310562+2.5*0.897313475609511+102.5*0.871185798389229
=2.451232+2.379858+2.310562+2.243284+102.5*0.871185798389229
=2.451232+2.379858+2.310562+2.243284+89.296544
=4.83109+2.310562+2.243284+89.296544
=7.141652+2.243284+89.296544
=9.384936+89.296544
=98.68148
Answer:2.5*e^(-0.1182*2/12)+2.5*e^(-0.1182*5/12)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)=98.68148
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 2.5*e^(-0.1182*2/12)+2.5*e^(-0.1182*5/12)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12) .
Question type: Mathematical calculation
Solution:
2.5*e^(-0.1182*2/12)+2.5*e^(-0.1182*5/12)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)
=2.5*e^(-0.0197)+2.5*e^(-0.1182*5/12)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)
=2.5*e^-0.0197+2.5*e^(-0.04925)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)
=2.5*e^-0.0197+2.5*e^-0.04925+2.5*e^(-0.0788)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)
=2.5*e^-0.0197+2.5*e^-0.04925+2.5*e^-0.0788+2.5*e^(-0.10835)+102.5*e^(-0.1182*14/12)
=2.5*e^-0.0197+2.5*e^-0.04925+2.5*e^-0.0788+2.5*e^-0.10835+102.5*e^(-0.1379)
=2.5*2.718282^-0.0197+2.5*e^-0.04925+2.5*e^-0.0788+2.5*e^-0.10835+102.5*e^-0.1379
=2.5*2.718282^-0.0197+2.5*2.718282^-0.04925+2.5*e^-0.0788+2.5*e^-0.10835+102.5*e^-0.1379
=2.5*2.718282^-0.0197+2.5*2.718282^-0.04925+2.5*2.718282^-0.0788+2.5*e^-0.10835+102.5*e^-0.1379
=2.5*2.718282^-0.0197+2.5*2.718282^-0.04925+2.5*2.718282^-0.0788+2.5*2.718282^-0.10835+102.5*e^-0.1379
=2.5*2.718282^-0.0197+2.5*2.718282^-0.04925+2.5*2.718282^-0.0788+2.5*2.718282^-0.10835+102.5*2.718282^-0.1379
=2.5*0.980492775803154+2.5*2.718282^(-0.04925)+2.5*2.718282^(-0.0788)+2.5*2.718282^(-0.10835)+102.5*2.718282^(-0.1379)
=2.5*0.980492775803154+2.5*0.951943111210632+2.5*2.718282^(-0.0788)+2.5*2.718282^(-0.10835)+102.5*2.718282^(-0.1379)
=2.5*0.980492775803154+2.5*0.951943111210632+2.5*0.924224746316037+2.5*2.718282^(-0.10835)+102.5*2.718282^(-0.1379)
=2.5*0.980492775803154+2.5*0.951943111210632+2.5*0.924224746316037+2.5*0.897313475609511+102.5*2.718282^(-0.1379)
=2.5*0.980492775803154+2.5*0.951943111210632+2.5*0.924224746316037+2.5*0.897313475609511+102.5*0.871185798389229
=2.451232+2.5*0.951943111210632+2.5*0.924224746316037+2.5*0.897313475609511+102.5*0.871185798389229
=2.451232+2.379858+2.5*0.924224746316037+2.5*0.897313475609511+102.5*0.871185798389229
=2.451232+2.379858+2.310562+2.5*0.897313475609511+102.5*0.871185798389229
=2.451232+2.379858+2.310562+2.243284+102.5*0.871185798389229
=2.451232+2.379858+2.310562+2.243284+89.296544
=4.83109+2.310562+2.243284+89.296544
=7.141652+2.243284+89.296544
=9.384936+89.296544
=98.68148
Answer:2.5*e^(-0.1182*2/12)+2.5*e^(-0.1182*5/12)+2.5*e^(-0.1182*8/12)+2.5*e^(-0.1182*11/12)+102.5*e^(-0.1182*14/12)=98.68148