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It supports mathematical functions (including trigonometric functions).
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 e^(-20/7)+e^(-20/7)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6 .
Question type: Mathematical calculation
Solution:
e^(-20/7)+e^(-20/7)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6
=e^(-2.857143)+e^(-20/7)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6
=e^-2.857143+e^(-2.857143)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6
=e^-2.857143+e^-2.857143*20/7+e^(-2.857143)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6
=e^-2.857143+e^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^(-20/7)*(20/7)^3/6
=e^-2.857143+e^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^(-2.857143)*(20/7)^3/6
=e^-2.857143+e^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^-2.857143*2.857143^3/6
=2.718282^-2.857143+e^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^-2.857143*2.857143^3/6
=2.718282^-2.857143+2.718282^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^-2.857143*2.857143^3/6
=2.718282^-2.857143+2.718282^-2.857143*20/7+2.718282^-2.857143*2.857143^2/2+e^-2.857143*2.857143^3/6
=2.718282^-2.857143+2.718282^-2.857143*20/7+2.718282^-2.857143*2.857143^2/2+2.718282^-2.857143*2.857143^3/6
=0.057432600707631+2.718282^(-2.857143)*20/7+2.718282^(-2.857143)*2.857143^2/2+2.718282^(-2.857143)*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+2.718282^(-2.857143)*2.857143^2/2+2.718282^(-2.857143)*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+0.057432600707631*2.857143^2/2+2.718282^(-2.857143)*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+0.057432600707631*8.163266122449/2+2.718282^(-2.857143)*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+0.057432600707631*8.163266122449/2+0.057432600707631*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+0.057432600707631*8.163266122449/2+0.057432600707631*23.323618658892308/6
=0.057432600707631+1.148652/7+0.057432600707631*8.163266122449/2+0.057432600707631*23.323618658892308/6
=0.057432600707631+0.164093+0.057432600707631*8.163266122449/2+0.057432600707631*23.323618658892308/6
=0.057432600707631+0.164093+0.468838/2+0.057432600707631*23.323618658892308/6
=0.057432600707631+0.164093+0.234419+0.057432600707631*23.323618658892308/6
=0.057432600707631+0.164093+0.234419+1.339536/6
=0.057432600707631+0.164093+0.234419+0.223256
=0.221526+0.234419+0.223256
=0.455945+0.223256
=0.679201
Answer:e^(-20/7)+e^(-20/7)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6=0.679201
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation e^(-20/7)+e^(-20/7)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6 .
Question type: Mathematical calculation
Solution:
e^(-20/7)+e^(-20/7)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6
=e^(-2.857143)+e^(-20/7)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6
=e^-2.857143+e^(-2.857143)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6
=e^-2.857143+e^-2.857143*20/7+e^(-2.857143)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6
=e^-2.857143+e^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^(-20/7)*(20/7)^3/6
=e^-2.857143+e^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^(-2.857143)*(20/7)^3/6
=e^-2.857143+e^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^-2.857143*2.857143^3/6
=2.718282^-2.857143+e^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^-2.857143*2.857143^3/6
=2.718282^-2.857143+2.718282^-2.857143*20/7+e^-2.857143*2.857143^2/2+e^-2.857143*2.857143^3/6
=2.718282^-2.857143+2.718282^-2.857143*20/7+2.718282^-2.857143*2.857143^2/2+e^-2.857143*2.857143^3/6
=2.718282^-2.857143+2.718282^-2.857143*20/7+2.718282^-2.857143*2.857143^2/2+2.718282^-2.857143*2.857143^3/6
=0.057432600707631+2.718282^(-2.857143)*20/7+2.718282^(-2.857143)*2.857143^2/2+2.718282^(-2.857143)*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+2.718282^(-2.857143)*2.857143^2/2+2.718282^(-2.857143)*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+0.057432600707631*2.857143^2/2+2.718282^(-2.857143)*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+0.057432600707631*8.163266122449/2+2.718282^(-2.857143)*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+0.057432600707631*8.163266122449/2+0.057432600707631*2.857143^3/6
=0.057432600707631+0.057432600707631*20/7+0.057432600707631*8.163266122449/2+0.057432600707631*23.323618658892308/6
=0.057432600707631+1.148652/7+0.057432600707631*8.163266122449/2+0.057432600707631*23.323618658892308/6
=0.057432600707631+0.164093+0.057432600707631*8.163266122449/2+0.057432600707631*23.323618658892308/6
=0.057432600707631+0.164093+0.468838/2+0.057432600707631*23.323618658892308/6
=0.057432600707631+0.164093+0.234419+0.057432600707631*23.323618658892308/6
=0.057432600707631+0.164093+0.234419+1.339536/6
=0.057432600707631+0.164093+0.234419+0.223256
=0.221526+0.234419+0.223256
=0.455945+0.223256
=0.679201
Answer:e^(-20/7)+e^(-20/7)*20/7+e^(-20/7)*(20/7)^2/2+e^(-20/7)*(20/7)^3/6=0.679201