Алгебра: Ирешите со всеми вычислениями

Ирешите со всеми вычислениями

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Ответ:

annamos16

27.09.2022 07:06

Unit 4 Eating Out

Match the words in A with its explanation in B

1.a quality a) no good

2. abundant b) large quantities

3. customary c) to add to a dish to make it look

attractive

4. distinctive d) how good or bad something is

5. to garnish e) quickly

6.interior f) usual

7. inferior g) inside of building

8. relatively h) usual

9. rapidly i)comparatively

II. Complete the sentences with the above words:

1. design is the art of planning the decoration of the inside a house or an

office

4. These shoes are f good .

5. She made progess and was soon the best in the class.

6. thedi with parsley and serve!

7. We look a supply of food with us when we went hiking in the

mountains

8. He’s a good tennis player.

9. This sauce has a very taste.

Объяснение: Unit 4 Eating Out

Match the words in A with its explanation in B

1.a quality a) no good

2. abundant b) large quantities

3. customary c) to add to a dish to make it look

attractive

4. distinctive d) how good or bad something is

5. to garnish e) quickly

6.interior f) usual

7. inferior g) inside of building

8. relatively h) usual

9. rapidly i)comparatively

II. Complete the sentences with the above words:

1. design is the art of planning the decoration of the inside a house or an

office.

2. It’s to hold the door open for someone who is entering a building

behind you.

3. They were very upset. They had bought goods of quality.

4. These shoes are of good .

5. She made progress and was soon the best in the class.

6. the dish with parsley and serve!

7. We look an supply of food with us when we went hiking in the

mountains.

8. He’s a good tennis player.

9. This sauce has a very taste.

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Ответ:

SobolevaAlina

30.09.2020 02:12

№1
Применяем ограниченность синуса и косинуса
-1≤cosx≤1
Преобразуем правую часть по формуле
$cos^2 \alpha = \frac{1+cos2 \alpha }{2}$

$\frac{1+8cos^2x}{4}= \frac{1+ 8\cdot \frac{1+cos2x}{2} }{4}= \frac{1+ 4\cdot (1+cos2x)}{4}= \frac{5+ 4\cdot cos2x}{4}$

$-1 \leq cos2x \leq 1 \\ \\ -4 \leq 4\cdot cos2x \leq 4 \\ \\ -4+5 \leq 5+4\cdot cos2x \leq 4+5 \\ \\1 \leq 5+4\cdot cos2x \leq 9 \\ \frac{1}{4} \leq \frac{5+ 4\cdot cos2x}{4} \leq \frac{9}{4}$
ответ Множество значений
$[ \frac{1}{4};2 \frac{1}{4}]$

Применяем ограниченность синуса и косинуса
-1≤sinx≤1
Преобразуем правую часть по формуле
$sin \alpha cos \alpha = \frac{sin2 \alpha }{2}$

$sin2xcos2x+2= \frac{sin4x}{2}+2 \\ \\ -1 \leq sin4x \leq 1 \\ \\ -\frac{1}{2} \leq \frac{sin4x}{2} \leq \frac{1}{2} \\ \\ -\frac{1}{2} +2\leq \frac{sin4x}{2}+2 \leq \frac{1}{2} +2\\ \\ 1 \frac{1}{2} \leq \frac{sin4x}{2}+2 \leq 2\frac{1}{2}$

ответ Множество значений
$[1 \frac{1}{2};2 \frac{1}{2}]$

№2 Найти область определения функции
у=1/(sinx-sin3x)
Дробь имеет смысл тогда и только тогда, когда её знаменатель отличен от 0
Найдем при каких х знаменатель равен 0. Решаем уравнение
sinx-sin3x=0
Применяем формулу
$sin \alpha -sin \beta =2sin \frac{ \alpha - \beta }{2}\cdot cos \frac{ \alpha + \beta }{2}$

$2sin \frac{ x- 3x }{2}\cdot cos \frac{ x + 3x }{2}=0 \\ \\ 2sin(-x)\cdot cos 2x=0 \\ \\ \left[\begin{array}{ccc}sin(-x)=0\\cos2x=0\end{array}\right$
Так как синус - нечетная функция, то
sin(-x)=-sinx

sinx=0 ⇒ x=πk, k∈Z
cos2x=0 ⇒ 2x=(π/2)+πn, n∈Z ⇒ x=(π/4)+(π/2)n, n∈ Z
ответ. Область определения: x≠πk, k∈Z
x≠(π/4)+(π/2)n, n∈ Z

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