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denis23 [38]
3 years ago
14

Evalute this integral

Mathematics
1 answer:
enot [183]3 years ago
4 0

Answer:

(1/2)sin(2x) + C

Step-by-step explanation:

y=2x\\\frac{dy}{dx} =2\\\ dx=\frac{dy}{2} \\\int\limits {cos 2x} \, dx \\\int\limits {cos(y) } \, \frac{dy}{2} =\frac{1}{2} \\\int\limits {cos(y) } \, dy=\frac{1}{2}sin(y) \\ substitute / y=2x\\\int\limits {cos 2x} \, dx = \frac{1}{2}sin(2x) +C

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Zoro Manufacturing Company manufacturers wooden picture frames. Each piece of wood yields 15 frames. Each piece of wood costs $1
sesenic [268]
To determine the cost of manufacturing one picture frame, add all the known cost by the number of frames produced. With the basis of one hour of operation,

                                  Cost of wood per frame = $18.75 / 15 = $1.25

                           Cost of direct labor per frame = $ 13.50 / 65 = $ 0.21

Adding all up the costs, 

                                     total cost = $1.25 + $0.21 = $1.46

Therefore, manufacturing one picture frame costs approximately $1.46. 
6 0
3 years ago
3x + 2y = 14. X + y = 5. Work put the values of x and y
andrey2020 [161]

Answer:

x = 4 , y = 1

Step-by-step explanation:

3x + 2y = 14 → (1)

x + y = 5 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 2x - 2y = - 10 → (3)

Add (1) and (3) term by term to eliminate y

x = 4

Substitute x = 4 into (2) and evaluate for y

4 + y = 5 ( subtract 4 from both sides )

y = 1

7 0
3 years ago
Reduce the fractions using the greatest common factor 7 over 12
Airida [17]

Answer:

7/12 cannot be reduced

Step-by-step explanation:

7 = 7

12 = 2 * 2 * 3

7 and 12 have no common factors other than 1, so the fraction 7/12 cannot be reduced. 7/12 is already written in lowest terms.

4 0
3 years ago
How do you leave an answer in terms of pi?
Archy [21]

In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.

8 0
3 years ago
Write an absolute value equation that has the solutions x=8​ and x=18
amid [387]

Answer:

|x-5|=13

Step-by-step explanation:

I think this is right

8 0
3 years ago
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