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Ainat [17]
3 years ago
12

Integral of (sin(2x) + cos(2x)) dx=

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

\displaystyle \int (\sin 2x + \cos 2x)~ dx\\\\=\displaystyle \int \sin 2x ~dx + \displaystyle \int \cos 2x ~ dx\\\\=-\dfrac{\cos 2x}2 + \dfrac{\sin 2x}2 +C\\\\=\dfrac{\sin 2x - \cos 2x}2+C

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1) A basket of apples are given to a group of students. If 3 apples are given to each student, there will be 8 apples left. If 5
sattari [20]

Answer:

1) either 5 or 6 students in the group

2) 6 rooms are booked

Step-by-step explanation:

1) x students  

3x + 8 = apples

5 (x-1) + y (the one get less than 5 apples)

3x + 8 = 5 (x - 1) + y

3x + 8 = 5x - 5 + y

2x + y = 13

X       1       2      3      4      5      6

Y       11      9      7      5      3       1

because y < 5 so x = 5 or x = 6

2) x rooms are booked

4x + 20   total students

8 (x-1) + y (the students in room not full))

4x + 20 = 8 (x-1) + y

4x + 20 = 8x - 8 + y

4x + y = 28

X       1       2      3      4      5      6

Y       24    20    16    12     8      4

y < 8 answer is 6 rooms

4 0
4 years ago
It takes a healthy bakery 10 hours to make 350 bagels what was the rate per hour
vladimir1956 [14]
The rate is 35 bagels per hour
8 0
3 years ago
Read 2 more answers
The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the co
krok68 [10]

Answer:

Step-by-step explanation:

There are 2 ways to proceed further.

Option A is with using the random number table.

  1. Let us assume that each gravestone has  a unique number between 1 and 55914.
  2. Choose a row at random from  the table.
  3. Take the first number consisting of 5 digits, if the number corresponds with a number between 1 and 55914, then select the corresponding plot, otherwise move on to the next 5 digit-number.

Repeat until 395 gravestones have been selected.

Option B is with using any calculator with capability of generating random integer. Here  for example consider any TI series programmable calculator.

  • Enter the following command into your calculator:

                                   randInt(1,55914,395)

  • The first and second number are the lower and upper limits between which the values have to lie.
  • The third number is the number of required selections.
3 0
3 years ago
What is 20% of $ a dollar and 50 Cent
raketka [301]
1.50x.20=.30
It's 30 cents
8 0
3 years ago
7th grade math.<br> Solve.<br><br> 9.4 = - t/3.5<br><br> t =
Naya [18.7K]

Answer:

t = - 32.9

Step-by-step explanation:

Step 1:

9.4 = - t ÷ 3.5  Equation

Step 2:

9.4 × 3.5 = - t  Isolate the variable

Step 3:

32.9 = - t   Multiply

Answer:

t = - 32.9  

Hope This Helps :)

7 0
3 years ago
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