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3 years ago

A differential equation that is a function of y only

Mathematics

1 answer:

nikdorinn [45]3 years ago

5 0

Answer:

c. Will produce a slope field with rows of parallel tangents

Step-by-step explanation:

We can write a differential equation that is a function of y only as:

$y'=f(y)$

So the derivative, in this particular case, of any function will be a function of the dependent variable y only, it means that the curves you will get should all be pointing in the same direction for each value of x. Therefore the sketch of the slopes field would have parallel curves for each value of x, in other words, it will produce a slope field with rows of parallel tangents.

I hope it helps you!

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State the missing reason in this flow proof

natali 33 [55]

The complete flow proof is:

$\angle 5 = 40^o$ ---- Given
$\angle 2 = 140^o$ ---- Given
$\angle 5 + \angle 2 = 180^o$ ----- $\angle 5$ and $\angle 2$ are supplementary angles
$\angle 5 + \angle 2 = 180^o$ ----- $\angle 5$ and $\angle 2$ are same-side interior angles
$a ||b$ ----- Proved

We have:

$\angle 5 = 40^o$

$\angle 2 = 140^o$

The proof of $a ||b$ is as follows:

The first statement is:

$\angle 5 = 40^o$ ---- Given

The next statement is:

$\angle 2 = 140^o$ ---- Given

Supplementary angles add up to $180^o$ .

So, the third statement is:

$\angle 5 + \angle 2 = 180^o$ ----- $\angle 5$ and $\angle 2$ are supplementary angles

Same side of interior angles add up to $180^o$ .

So, the fourth statement is:

$\angle 5 + \angle 2 = 180^o$ ----- $\angle 5$ and $\angle 2$ are same-side interior angles

Because the angles are supplementary angles and also same-side interior angles, then it means that line a is parallel to line b

So, the last statement is:

$a ||b$ ----- Proved

Read more about proofs of parallel lines at:

brainly.com/question/18396272

7 0

3 years ago

Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of 20.75% per month. How many m

drek231 [11]

The number of months it would take the bunny farm to triple in size is 5.3 months.

<h3>When would the bunny farm be triple its size?</h3>

The formula that can be used to determine the number of months it would take Mrs. Galicia's bunnies to triple in size is:

Number of years = (In FV / PV) / r

FV = future population of the bunnies
PV = present population of the bunnies
r = rate of growth
FV / PV = 3

IN(3) / 0.2075 = 5.3 months

To learn more about tripling time, please check: brainly.com/question/21841217

8 0

2 years ago

Gments on the

Amiraneli [1.4K]

Answer:

– 6x – 2x = 16

-8x = 16

x = 16/-8 = -2

3(3x – 6) = 18

9x - 18 = 18

9x = 18 + 18 = 36

x = 36/9 = 4

C) ASSUMING YOU MADE AN ERROR BY WRITING 0 INSTEAD OF (

5(2x + 3) =-4(-5 – 2x)

10x + 15 = 20 + 8x

10x - 8x = 20 - 15

2x = 5

x = 5/2

12x =

5 0

3 years ago

Which system of equations is consistent and dependent?

MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0 - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

3 0

3 years ago

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Math question I need help with

FromTheMoon [43]

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3 years ago