Vận tốc của chất điểm:

\(v\left(t\right)=s'\left(t\right)=3t^2-6t+9=3\left(t-1\right)^2+6\ge6\)

Dấu "=" xảy ra khi \(t-1=0\Rightarrow t=1s\)

\(4,\\ b,B=\dfrac{x}{y}+\dfrac{y}{z}+\dfrac{z}{x}\ge3\sqrt[3]{\dfrac{xyz}{xyz}}=3\)

Dấu \("="\Leftrightarrow x=y=z\)

\(c,x+y=4\Leftrightarrow x=4-y\\ \Leftrightarrow C=\left(4-y\right)^2+y^2\\ C=16-8y+y^2+y^2=2\left(y^2-4y+4\right)+8\\ C=2\left(y-2\right)^2+8\ge8\\ C_{min}=8\Leftrightarrow x=y=2\)

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, \(U_{AB}=R_2I_2=20.0,6=12\left(V\right)\)

\(I_1=\dfrac{U_{AB}}{R_1}=\dfrac{12}{10}=1,2\left(A\right)\)

C ( y=20)

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`

à câu c ý

Thiếu hình vẽ đồ thị \(y=f'\left(x\right)\) rồi em