giúp em 3 câu này với ạ em xin cảm ơn



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Có: `-C_2021 ^0 +C_2021 ^1 -C_2021 ^2 +....+C_2021 ^2019-C_2021 ^2020 -C_2021 ^2021 =-1-1=-2`
Mà `C_2021 ^0 +C_2021 ^1 +C_2021 ^2 +....+C_2021 ^2019 +C_2021 ^2020 +C_2021 ^2021 =2^2021`
`=>2(C_2021 ^1 + C_2021 ^3 +C_2021 ^5 +...+C_2021 ^2017 + C_2021 ^2019 )=-2+2^2021`
`=>C_2021 ^1 + C_2021 ^3 +...+C_2021 ^2017 + C_2021 ^2019 =-1+2^2020`
Đặt A=2/3+2/6+2/12+...+2/768
=2/3(1+1/2+1/4+...+1/256)
Đặt B=1+1/2+1/4+...+1/256
=>2B=2+1+1/2+...+1/128
=>B=2-1/256=511/256
=>\(A=\dfrac{2}{3}\cdot\dfrac{511}{256}=\dfrac{511}{128\cdot3}=\dfrac{511}{384}\)
Ta có; \(19,8:0,2\cdot44,44\cdot2\cdot13,2:0,23\)
\(=19,8\cdot5\cdot44,44\cdot26,4:0,23\)
\(=99\cdot44,44\cdot26,4:0,23\)
Ta có: \(\frac{19,8:0,2\cdot44,44\cdot2\cdot13,2:0,23}{3,3\cdot88,88:0,5\cdot6,6:0,125\cdot5}\)
\(=\frac{99\cdot44,44\cdot26,4:0,23}{3,3\cdot88,88\cdot2\cdot6,6\cdot8\cdot5}=30\cdot\frac12\cdot\frac{13.2}{6.6}\cdot\frac{1}{8\cdot5}:0,23\)
\(=15\cdot2\cdot\frac{1}{40}:\frac{23}{100}=\frac34\cdot\frac{100}{23}=3\cdot\frac{25}{23}=\frac{75}{23}\)
a, cường độ dđ mạch
\(I=\dfrac{U}{R_{td}}=\dfrac{12}{10+5}=0,8\left(A\right)\)
\(\Rightarrow U_1=I.R_1=8\left(V\right)\)
\(\Rightarrow U_2=I.R_2=5.0,8=4\left(V\right)\)
b, \(\Rightarrow U_1=\dfrac{4}{2}=2\left(V\right)\)
\(I=I_2=\dfrac{4}{5}=0,8\left(A\right)\)
\(I_1=\dfrac{2}{10}=0,2\left(A\right)\)
\(I_3=I_2-I_1=0,6\left(A\right)\)
\(\Rightarrow R_3=\dfrac{U_1}{I_3}=\dfrac{2}{0,6}=\dfrac{10}{3}\left(\Omega\right)\)
câu 1
a, \(R_{tđ}=\dfrac{R_1R_2}{R_1+R_2}=\dfrac{10.20}{10+20}=\dfrac{20}{3}\left(\Omega\right)\)
b, \(U_{AB}=R_2I_2=20.0,6=12\left(V\right)\)
\(I_1=\dfrac{U_{AB}}{R_1}=\dfrac{12}{10}=1,2\left(A\right)\)