English translation 96 page translation

It's very important for us to spend time with friends and family. We often drop in on friends' houses. We don't usually make plans when we get together with friends. We often just walk in the middle of town, See our friends as much as possible!
In Switzerland, it's important to be punctual. After all, we are a country of watches! If someone invites you to meet him at 4:00, you must be there at 4:00. Even if you are 15 minutes late, your friends may be angry. At the same time, we never visit friends when we haven't made a phone call. We usually make plans to get together with friends, Do something interesting, or go to some places together!
This is my translation of the textbook, the feeling should be OK, I am also a junior high school student!

Translation of unit 3 3a in grade 3 of PEP

SectionA 3a
S: We have many rules at home
W: So do we. I had to stay at home at school
S: I often do the same, but sometimes I'm allowed to study at a friend's home. How about the weekend?
W: OK, I'm allowed to go to the cinema with my friends on Friday night
S: Me too, but I have to be home by 10 pm
W: I was allowed to go shopping with my friends on Saturday afternoon
S: That's good
W: I was also allowed to choose my own clothes, but I was not allowed to pierce my ears
SectionB 3a
A few days ago, my friend and I talked about our rules in school. We have to wear uniforms every day. The problem is
All my classmates think school uniforms are ugly. We think young people should look beautiful, so we like to wear our own clothes. Our teachers think that if we do that, we will pay more attention to clothes rather than study. We disagree. We will feel more comfortable and conducive to study, We should be allowed to design our own school uniform. It will be a good way to keep teachers and students happy
It's a good idea for parents to allow their children to study in groups at night. I know sometimes we are noisy, but we learn a lot from each other. We also think that holidays should be longer. At present, it's too short

Translation of the first paragraph of section B 2B, unit 9, Volume 2, Grade 7, people's Education Press

An intereting job
Joe brown has a very interesting job.heis a police artist.some people see crimes and then talk to joe.they tell him what the criminal looks like.then joe draws a picture of the criminal,and the police put it in newspapers and on television to find him.
He wants to draw a good picture of each criminal,but this job is sometimes difficult .many people don't always see things the same way so they may describe the same person difficultly.also ,they don't always remember well.“the criminal is of medium build and young.he has long straight.Brown hair and big eyes,”says one woman.another woman says, “he is tall and thin,and he has curly blond hair.he 's about thirty years old.“in the end,the real criminal ia a short and heavy old man,and he has short black hair!
Is it this one?
Joe Brown has a very interesting job. He is a police artist. Some people see the crime and say to him, they tell him what the criminal looks like. Then Joe paints the criminal, and the police look for him on TV and in the newspaper

p: If x belongs to (1,2.5) and the inequality TX ^ 2 + 2x-3 > 0 has a true solution, then the value range of real number T is (existence problem)

Separate variable method
1＜x＜2.5,2/5＜1/x＜1
tx^2＞3-2x
t＞(3-2x)/(x^2)=3(1/x)^2-2(1/x)
Let g (x) = 3x ^ 2-2x, 2 / 5 < x < 1
Axis of symmetry x = 1 / 3 ＜ 2 / 5
Then G (x) increases monotonically in (2 / 5,1)
So the maximum value of G (x) is g (1) = 1
So t > 1
I don't know how to ask

Determination of the existence of limit and derivative in Calculus for freshman

phillipster ,
In order to determine the existence of a function limit at a certain point, it is equivalent to the existence of left limit and right limit, and the left and right limits are equal. Whether the derivative exists at a certain point, it is equal to the existence of left derivative, the existence of right derivative and the equality of left and right derivatives

To prove a theorem given in mathematics compulsory 2 of senior two
"In space, if the two sides of two angles are parallel, then the two angles are equal or complementary."
(on page 46)

Parallel means coplanar and parallelogram is made. There are only two kinds of relations between the angles of parallelogram, equal or complementary

Let z = u ^ 2lnv, and u = x / y, v = 3x-2y, find the lower partial derivative

The monotone increasing interval of function y = x / (1-x) is, please do it with derivative

The derivation is (1-x + x) / (1-x) ^ 2 = 1 / (1-x) ^ 2 > = 0
So the monotone increasing interval is r

The numerator of 9 out of 17, the denominator of which is added with the same number, will get 3 out of 4. What is the number added?

Let the number added be X
(9+X)/(17+X)=3/4
51+3X=36+4X
X=15
A: add 15 to get 3 / 4

Find the special solution of the differential equation y '+ 2XY = 0 satisfying the initial condition y (0) = 1

The original title is
dy/dx+2xy=0
Separation of variables
Dy / y = - 2xdx two side integral
lny=-x^2+C1
y=C*e^(-x^2)
From Y (0) = 1, C = 1
So the special solution of the differential equation y = e ^ (- x ^ 2)

English translation 96 page translation