Complete the second using the word given, so that it has similar to the first sentence. Write between 2 and 5 words in each gap.

1. The headmaster made the pupil wait outside his door. MADE

-> The pipil ............was made to wait........... outside the headmaster's door.

2. I didn't understand what my teacher was trying to express so i asked her again. GETTING

-> I didn't understand what my teacher.......was getting at...... so i asked her again.

3. My cousin had decided that he isn't going finish his engineering course. DROP

-> My cousin had decided .............to drop out of............... his engineering course.

I didn't understand the lesson, so I asked my teacher

Điền từ:

Well,I wasn't worried when my son bought a computer. After all lots of children have parents.....who....don't understand computers. But when my secretary asked me for a computer in ....The... office, I really became ....Worried...So I decided to take some lesson in computing and my son became my teacher. He was very helpful. He invited me to sit down in.......Front....of the computer screen. I did not know what is was correct. When asked him what is was, he said that it was VDU.I still didn't know what a VDU was, but I was too shy....To ask....him anymore. From that moment my memory refused to learn ......Because..........he told me a lot of that I really........Didn't..understand all. After few lesson I began to feel tired. I made ...An....excuse,saying that I.....Had.........a headache. I suggested we should leave the lesson for another day. Since then I haven't said anything about the computer to my son and my secretary

cái hồi nãy thiếu câu hỏi em bổ sung ở dưới này ạ 

em cảm ơn mn

5.

TXĐ: \(D=\left(-\infty;-1\right)\cup\left(-1;+\infty\right)\)

\(y'=\dfrac{2}{\left(x+1\right)^2}>0\) ; \(\forall x\in D\) 

\(\Rightarrow\) Hàm đồng biến trên mỗi khoảng xác định

Hay hàm đồng biến trên \(\left(-\infty;-1\right)\) và \(\left(-1;+\infty\right)\)

6.

\(y=4x^3-4x=0\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=1\end{matrix}\right.\)

Dấu của y' trên trục số:

Từ đó ta thấy:

Hàm đồng biến trên các khoảng \(\left(-1;0\right)\) và \(\left(1;+\infty\right)\)

Hàm nghịch biến trên các khoảng \(\left(-\infty;-1\right)\) và \(\left(1;+\infty\right)\)

Tìm cực trị

a.

\(f'\left(x\right)=3x^2-3=0\Rightarrow x=\pm1\)

\(f''\left(x\right)=6x\)

\(f''\left(-1\right)=-6< 0\)

\(f''\left(1\right)=6>0\)

\(\Rightarrow x=-1\) là điểm cực đại và \(x=1\) là điểm cực tiểu

b.

\(f'\left(x\right)=-4x^3+4x=0\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=1\end{matrix}\right.\)

\(f''\left(x\right)=-12x^2+4\)

\(f''\left(0\right)=4>0\) ; \(f''\left(-1\right)=-8< 0\) ; \(f''\left(1\right)=-8< 0\)

\(\Rightarrow x=0\) là điểm cực tiểu và \(x=\pm1\) là 2 điểm cực đại

c.

\(f'\left(x\right)=\dfrac{3}{\left(x-1\right)^2}\ne0\) với mọi x thuộc miền xác định

Hàm không có cực trị

1 the salary of a professor is higher than that of a secretary -> the salary of a secretary is .......a secretary is lower than that of a professor......

2 he felt very miserable , so he looked for someone to share his life with -> he looked ...............for someone to share his life with because he felt very miserable..............

3 i didn't realize how late it was and i didn't stop studying till after midnight ->i didn't realize how late it was and i went.........on studying till after midnight............

4 when did you start working on the project ?  -> how long ............ have you been working on the project ?..........?

mình cảm ơn <33

1, The salary of a professor is higher than that of a secretary

→ The salary of a secretary is lower than that of a professor.

2, He felt very miserable ,so he looked for someone to share his life with

→ He looked for omeone to share his life because he felt miserable.

3, I didn't realize how late it was and i didn't stop studying till after midnight

→ I didn't realize how late it was and i went on studying till after midnight.

4, When did you start working on the project ?

→ How long have you worked on the project?

by