All categories

2 years ago

Which of the following differential equations has the slope field below

Mathematics

1 answer:

Nookie1986 [14]2 years ago

6 0

The differential equation that has the given slope is: dy/dx = -xy.

<h3>How to find the differential equation that models the situation?</h3>

We have to look at the slope, given in the graph of the solution of the differential equation, and represented by dy/dx. From the graph, we have that:

In quadrants I and III, in which x and y have the same signal, the differential equation is decreasing, hence the slope is negative.

In quadrants II and IV, in which x and y have different signals the differential equation is increasing, hence the slope is positive.

The differential equation that is negative when x and y have the same signals and positive when they do not have is given by the following option:

dy/dx = -xy.

More can be learned about differential equations at brainly.com/question/14423176

#SPJ1

You might be interested in

Caleb strung a 12 foot rope from the bottom of one fence post to the top of another. He measured the angle of elevation of the r

OLEGan [10]

The answer for this question is b because the angle of elevation of the rope as 35°

5 0

3 years ago

You have 100 yards of fencing available to create an enclosure for farm animals. As the

Sunny_sXe [5.5K]

1. area of a pentagon when 1 side is x is $\frac{x^2}{4}\sqrt{5(5+2\sqrt{5})}$
so if perimiter is 100 then one side is 100/5 or 20
area will be $\frac{20^2}{4}\sqrt{5(5+2\sqrt{5})}$ ≈688.2 square yards

2. area of a hexagon when 1 side is length x is $\frac{3x^2\sqrt{3}}{2}$
so if permiter is 100 then length of one side is 100/6 or about 16.666666666666
the area will be $\frac{3(16.6666666)^2\sqrt{3}}{2}$ ≈721.7 square yards

3. area of a regular octagon with side lenghts x is $2(1+\sqrt{2})x^2$
so if 8 sides then side length of each is 100/8 or 12.5
area will be $2(1+\sqrt{2})12.5^2$ ≈754.4 square yards

octagon wil have most space
you can tell because the more sides it has, the more it gets to a circle and the more area it encloses with a given perimiter

3 0

3 years ago

Help due today asap Plaese help

fomenos

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the product of (-2)(3) (-5)(-7) (8)(-11) (-3)(2)(-2)

uranmaximum [27]

Answer:

-6

-88

Hope this helps

5 0

3 years ago

Will give brainiest, need help

eimsori [14]

Answer:

f(6) = 53

Step-by-step explanation:

f(x) = 10x - 7

We want to find f(6)

To do so simply substitute 6 for x in the equation

Equation: 10x - 7

x = 6

f(6) = 10(6) - 7

multiply 10 and 6

f(6) = 60 - 7

subtract

f(6) = 53

8 0

2 years ago

Read 2 more answers