K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

NV
10 tháng 4 2021

1.

\(\dfrac{1-cosx+cos2x}{sin2x-sinx}=\dfrac{1-cosx+2cos^2x-1}{2sinx.cosx-sinx}\)

\(=\dfrac{cosx\left(2cosx-1\right)}{sinx\left(2cosx-1\right)}=\dfrac{cosx}{sinx}=cotx\)

2.

\(\dfrac{1+tan^4x}{tan^2x+cot^2x}=\dfrac{1+tan^4x}{tan^2x+\dfrac{1}{tan^2x}}=\dfrac{1+tan^4x}{\dfrac{tan^4x+1}{tan^2x}}=tan^2x\)

3.

\(sin^4x+cos^4x=sin^4x+cos^4x+2sin^2x.cos^2x-2sin^2x.cos^2x\)

\(=\left(sin^2x+cos^2x\right)^2-2sin^2x.cos^2x\)

\(=1-2sin^2x.cos^2x\)

NV
10 tháng 4 2021

4.

Áp dụng câu 3:

\(sin^4x+cos^4x=1-2sin^2x.cos^2x\)

\(=1-\dfrac{1}{2}\left(2sinx.cosx\right)^2\)

\(=1-\dfrac{1}{2}sin^22x\)

5.

\(sin\left(x+y\right)sin\left(x-y\right)=\dfrac{1}{2}cos\left[\left(x-y\right)-\left(x+y\right)\right]-\dfrac{1}{2}cos\left[\left(x-y\right)+\left(x+y\right)\right]\)

\(=\dfrac{1}{2}\left(cos2y-cos2x\right)=\dfrac{1}{2}\left(1-2sin^2y\right)-\dfrac{1}{2}\left(1-2sin^2x\right)\)

\(=sin^2x-sin^2y\)

6.

\(tanx+cotx=\dfrac{sinx}{cosx}+\dfrac{cosx}{sinx}=\dfrac{sin^2x+cos^2x}{sinx.cosx}\)

\(=\dfrac{1}{sinx.cosx}=\dfrac{2}{2sinx.cosx}=\dfrac{2}{sin2x}\)

Bài 2: 

a: \(f\left(x\right)=-9x^3-2x^2+6x-3\)

\(G\left(x\right)=9x^3-6x+53\)

b: \(H\left(x\right)=9x^3-6x+53-9x^3-2x^2+6x-3=-2x^2+50\)

c: Đặt H(x)=0

=>2x2-50=0

=>x=5 hoặc x=-5

Mng giúp em vs ạ (em đang cần gấp ạ em cảm ơn mng nhìu ạ) Choose the best answers. Câu1:Tina would consider to finland with us this summer . A.going. B.to go. C.to going. D.you'll go. Cau2:Cals suggested to going to the gym for a good workout. A .to ho. B.going. C.to have gone. D.having hone. Cau3:we will get a designer up our old house soon. A.do. B.to do. C.doing. D.done. Cau4:It's not easy for a job at your age. A.starting looking. B.to start looking. C.starting to...
Đọc tiếp

Mng giúp em vs ạ (em đang cần gấp ạ em cảm ơn mng nhìu ạ) Choose the best answers. Câu1:Tina would consider to finland with us this summer . A.going. B.to go. C.to going. D.you'll go. Cau2:Cals suggested to going to the gym for a good workout. A .to ho. B.going. C.to have gone. D.having hone. Cau3:we will get a designer up our old house soon. A.do. B.to do. C.doing. D.done. Cau4:It's not easy for a job at your age. A.starting looking. B.to start looking. C.starting to look. D.start to look. Cau5:english seems easier but I janpanese. A.Had rather study. B.would study. C.would rather study. D.rather study. Cau6:he Failed the gold medal in the competition A.to winning. B.win. C.and won. D.to win. Cau7:he prefers watching documentary films to the news on the radio. A.than listening. B.to listening. C.to listen. D.than to listen. Cau8:It's strange that you such a thing. A.would say. B.should say. C.will say. D. Said. Cau9:I couldn't decie what to eat.there was nothing the menu that I liked. A.in. B.on. C.at. D.within. Cau10:they decorated the wedding car ribbons and flowers. A.with. B .to. C.for. D.at. Cau11:A working party has been set up to look the prolem. A.for. B.over. C.round. D.into. Cau12: the furnitune was that I couldn't buy it. A.too expensive. B.very expensive. C.so expensive. D.such expensive. Cau13:why come in and take a seat? A.you not. B.don't you. C.haven't you. D.aren't you. Cau14: of the students in ours class could slove this math prolem. A.neither. B.none. C.not much. D.not. Cau15:I wish the children making so much noise. A.were stopped. B.had stop. C.stop. D.would stop. Cau16:when to the party,she politely refused. A.inviting. B.to invite. C.to be invited. D.invited.

0
5 tháng 8 2021

Bài 1:

1. \(NaOH+HNO_3\rightarrow NaNO_3+H_2O\)

\(Ba\left(OH\right)_2+2HNO_3\rightarrow Ba\left(NO_3\right)_2+2H_2O\)

\(Fe\left(OH\right)_3+3HNO_3\rightarrow Fe\left(NO_3\right)_3+3H_2O\)

2. \(2NaOH+CO_2\rightarrow Na_2CO_3+H_2O\)

\(Ba\left(OH\right)_2+CO_2\rightarrow BaCO_3+H_2O\)

Bạn tham khảo nhé!

5 tháng 8 2021

Bài 2:

Ta có: \(m_{NaOH}=100.4\%=4\left(g\right)\Rightarrow n_{NaOH}=\dfrac{4}{40}=0,1\left(mol\right)\)

PT: \(NaOH+HCl\rightarrow NaCl+H_2O\)

_____0,1_____0,1 (mol)

\(\Rightarrow a=C_{M_{HCl}}=\dfrac{0,1}{0,02}=5M\)

Bài 3:

Ta có: \(m_{NaOH}=100.8\%=8\left(g\right)\Rightarrow n_{NaOH}=\dfrac{8}{40}=0,2\left(mol\right)\)

\(m_{MgSO_4}=60.10\%=6\left(g\right)\Rightarrow n_{MgSO_4}=\dfrac{6}{120}=0,05\left(mol\right)\)

PT: \(2NaOH+MgSO_4\rightarrow Na_2SO_4+Mg\left(OH\right)_{2\downarrow}\)

Xét tỉ lệ: \(\dfrac{0,2}{2}>\dfrac{0,05}{1}\), ta được NaOH dư.

Theo PT: \(\left\{{}\begin{matrix}n_{NaOH\left(pư\right)}=2n_{MgSO_4}=0,1\left(mol\right)\\n_{Na_2SO_4}=n_{Mg\left(OH\right)_2}=n_{MgSO_4}=0,05\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow n_{NaoH\left(dư\right)}=0,1\left(mol\right)\)

Ta có: m dd sau pư = 100 + 60 - 0,05.58 = 157,1 (g)

\(\Rightarrow\left\{{}\begin{matrix}C\%_{NaOH\left(dư\right)}=\dfrac{0,1.40}{157,1}.100\%\approx2,55\%\\C\%_{Na_2SO_4}=\dfrac{0,05.142}{157,1}.100\%\approx4,52\%\end{matrix}\right.\)

Bạn tham khảo nhé!

18 tháng 9 2021

Diện tích tấm bìa là: \(\dfrac{3}{4}\times\dfrac{1}{2}=\dfrac{3}{8}\left(m^2\right)\)

Diện tích tấm bìa còn lại: \(\dfrac{3}{8}\times\left(1-\dfrac{2}{3}\right)=\dfrac{1}{8}\left(m^2\right)\)

18 tháng 9 2021

mik cảm ơn kou nhaa

12 tháng 4 2021

Gọi nhiệt độ cân bằng là \(t\left(t_2< t< t_3\right)\)

Giả sử \(t>t_1\Rightarrow Q_{thu}=Q_1+Q_2;Q_{tỏa}=Q_3\)

\(Q_{thu}=Q_{tỏa}\)

\(\Leftrightarrow Q_1+Q_2=Q_3\)

\(\Leftrightarrow m_1.C_1.\left(t-t_1\right)+m_2.C_2.\left(t-t_2\right)=m_3.C_3.\left(t_3-t\right)\)

\(\Leftrightarrow2000.\left(t-6\right)+10.4000.\left(t+40\right)=5.2000.\left(60-t\right)\)

\(\Leftrightarrow t=-19^oC\) (Trái với giả sử)

\(\Rightarrow t< t_1\Rightarrow Q_{thu}=Q_2;Q_{tỏa}=Q_1+Q_3\)

\(Q_{thu}=Q_{tỏa}\)

\(\Leftrightarrow m_2.C_2.\left(t-t_2\right)=m_1.C_1.\left(t-t_1\right)+m_3.C_3.\left(t_3-t\right)\)

\(\Leftrightarrow10.4000.\left(t+40\right)=2000.\left(t-6\right)+5.2000.\left(60-t\right)\)

\(\Leftrightarrow t=-19^oC\)

Kết luận: Nhiệt độ khi cân bằng là \(t=-19^oC\)