1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katarina [22]
3 years ago
7

Consider the direction field of the differential equation dy/dx = x(y − 6)2 − 4, but do not use technology to obtain it. Describ

e the slopes of the lineal elements on the lines x = 0, y = 5, y = 6, and y = 7.
Physics
1 answer:
Alona [7]3 years ago
5 0

Answer:

The slopes shows that the direction of the field is from -2 to +2, with three point charges, q₁, q₂ and q₃ at -2, 0 and +2 respectively.

Explanation:

Given;

The slope, dy/dx = 2x(y-6) - 4

2x(y-6) - 4 = 2xy - 12x - 4, divide through by 'x'

dy/dx = 2y -12 - 4/x

The slopes of the linear elements on the lines, x =0, y = 5, y = 6, y = 7.

At x = 0, and y = 5

dy/dx = 2y -12 - 4/x

dy/dx = 2(5) - 12 = -2

At x = 0, and y = 6

dy/dx = 2y -12 - 4/x

dy/dx = 2(6) - 12 = 0

At x = 0, and y = 7

= 2y -12 - 4/x

dy/dx = 2(7) - 12 = 2

Therefore, the slopes shows that the direction of the field is from -2 to +2, with three point charges, q₁, q₂ and q₃ at -2, 0 and +2 respectively.

You might be interested in
In which type of bone does ossification occur in the membranes?
Afina-wow [57]
In the formation of flat bones such as the skull the mandibles and the clavicles  
3 0
3 years ago
How does the resultant displacement change as the angle between two vectors increases from 90° to 120°?
user100 [1]

The resultant displacement between the two vectors will increase.

The resultant of the two vectors is given by parallelogram law of vectors.

The parallelogram law of vector addition states that if two vectors are represented in magnitude and direction by the adjacent sides of a parallelogram, the diagonal of the parallelogram drawn from the point of intersection of the vectors represents the resultant vector in magnitude and direction.

The resultant of these vectors, say vector A, and B, is given as;

R^2 = a^2 + b^2 -2ab.Cos (\theta )

When;

θ = 90°

R^2 = a^2 + b^2

When;

θ = 120°

R^2 = a^2 + b^2 + ab

Thus, the resultant displacement between the two vectors will increase.

Learn more here: brainly.com/question/20885836

8 0
3 years ago
Most ionic bonds form when electrons from____.
Margarita [4]
A bond with elements from B.
6 0
3 years ago
Read 2 more answers
Why do scientists conduct experiments ?
kkurt [141]
Scientists conduct experiments in order to prove a theory or a prediction they have or contradict it, so that then they can write down their results to study them.
8 0
4 years ago
A material you are testing conducts electricity but cannot be pulled into wires. It is most likely a _____.
notsponge [240]

Answer: The correct answer is "metalloid".

Explanation:

Metal is the material which can conduct electricity as it contains free electrons. It is good conductor of electricity. For example, copper, silver.

Metal can be drawn into wires. This property of material is called ductile.

Metal can be beaten into sheets. This property of material is called malleable.

Non metal is the material which cannot conduct electricity as it does not contain free electrons. They are poor conductor of electricity. For example, oxygen.

Metalloid: It has properties of both metals and non metal. It is electrical conductor. For example, semiconductor- silicon and germanium. But they cannot be pulled into wires.

Therefore, a material you are testing conducts electricity but cannot be pulled into wires. It is most likely a metalloid.

6 0
3 years ago
Other questions:
  • Please help!!!!! :)
    7·2 answers
  • 5. A projectile is fired in Earth's gravitational field with a horizontal velocity of y = 9.00 m/s.
    6·1 answer
  • As the frequency of sound waves increases, the wavelength of the sound waves decreases. true or false.
    15·1 answer
  • Which statement is true of magnets?
    11·2 answers
  • A car from rest moves a distance s(m) in t second, where s=3t³+t²/4 determine(i)the initial acceleration of the car (ii)the acce
    15·1 answer
  • Need help ASAP
    9·1 answer
  • Which statement best explains how tectonic activity affects long-term climate change?
    12·2 answers
  • When light travels through a small hole, it appears to an observer that the light spreads out, blurring the outline of the hole.
    12·1 answer
  • Number these from least (1) to most (5) inertia.
    15·2 answers
  • What is the average time in days between moon phases?.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!