Aptarimas:Matematika/Dvilypiai integralai: Skirtumas tarp puslapio versijų
Ištrintas turinys Pridėtas turinys
226 eilutė:
:Dabar sudėsime 20 diskų, kai kiekvieno disko aukštis yra <math>h_1=z_1-z_0</math>, <math>h_2=z_2-z_1</math>, <math>h_3=z_3-z_2</math> ir taip toliau. Gauname visų diskų tūrius padalintus iš <math>\pi</math>:
:<math>a_1=r_1^2(y_1-y_0)^2=0.2^2(0.04-0)^2=0.2^2\cdot 0.04^2=
:<math>a_2=r_2^2(y_2-y_1)^2=0.4^2(0.16-0.04)^2=0.2^2\cdot 0.12^2=
:<math>a_3=r_3^2(y_3-y_2)^2=0.6^2(0.36-0.16)^2=0.2^2\cdot 0.2^2=
:<math>a_4=r_4^2(y_4-y_3)^2=0.8^2(0.64-0.36)^2=0.2^2\cdot 0.28^2=\
:<math>a_5=r_5^2(y_5-y_4)^2=1^2(1-0.64)^2=0.2^2\cdot 0.36^2=
:<math>a_6=r_6^2(y_6-y_5)^2=1.2^2(1.44-1)^2=0.2^2\cdot 0.44^2=
:<math>a_7=r_7^2(y_7-y_6)^2=1.4^2(1.96-1.44)^2=0.2^2\cdot 0.52^2=
:<math>a_8=r_8^2(y_8-y_7)^2=1.6^2(2.56-1.96)^2=0.2^2\cdot 0.6^2=
:<math>a_9=r_9^2(y_9-y_8)^2=1.8^2(3.24-2.56)^2=0.2^2\cdot 0.68^2=
:<math>a_{10}=r_{10}^2(y_{10}-y_9)^2=2^2(4-3.24)^2=0.2^2\cdot 0.76^2=
:<math>a_{11}=r_{11}^2(y_{11}-y_{10})^2=2.2^2(4.84-4)^2=0.2^2\cdot 0.84^2=
:<math>a_{12}=r_{12}^2(y_{12}-y_{11})^2=2.4^2(5.76-4.84)^2=0.2^2\cdot 0.92^2=
:<math>a_{13}=r_{13}^2(y_{13}-y_{12})^2=2.6^2(6.76-5.76)^2=0.2^2\cdot 1^2=
:<math>a_{14}=r_{14}^2(y_{14}-y_{13})^2=2.8^2(7.84-6.76)^2=0.2^2\cdot 1.08^2=
:<math>a_{15}=r_{15}^2(y_{15}-y_{14})^2=3^2(9-7.84)^2=0.2^2\cdot 1.16^2=
:<math>a_{16}=r_{16}^2(y_{16}-y_{15})^2=3.2^2(10.24-9)^2=0.2^2\cdot 1.24^2=
:<math>a_{17}=r_{17}^2(y_{17}-y_{16})^2=3.4^2(11.56-10.24)^2=0.2^2\cdot 1.32^2=
:<math>a_{18}=r_{18}^2(y_{18}-y_{17})^2=3.6^2(12.96-11.56)^2=0.2^2\cdot 1.4^2=
:<math>a_{19}=r_{19}^2(y_{19}-y_{18})^2=3.8^2(14.44-12.96)^2=0.2^2\cdot 1.48^2=
:<math>a_{20}=r_{20}^2(y_{20}-y_{19})^2=4^2(16-14.44)^2=0.2^2\cdot 1.56^2=
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