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
Katen [24]
3 years ago
15

Find dy/dx for 4 - xy = y^3

Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer:

\frac{dy}{dx}=-\frac{y}{3y^2+x}

Step-by-step explanation:

4-xy=y^3

dy/dx=?

\frac{d(4-xy)}{dx}=\frac{d(y^3)}{dx}\\ \frac{d(4)}{dx}-\frac{d(xy)}{dx}=3y^{3-1}\frac{dy}{dx}\\ 0-(\frac{dx}{dx}y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(1y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -y-x\frac{dy}{dx}=3y^2\frac{dy}{dx}

Solving for dy/dx: Addind x dy/dx both sides of the equation:

-y-x\frac{dy}{dx}+x\frac{dy}{dx}=3y^2\frac{dy}{dx}+x\frac{dy}{dx} \\ -y=3y^2\frac{dy}{dx}+x\frac{dy}{dx}

Common factor dy/dx on the right side of the equation:

-y=(3y^2+x)\frac{dy}{dx}

Dividing both sides of the equation by 3y^2+x:

\frac{-y}{3y^2+x}=\frac{(3y^2+x)}{3y^2+x}\frac{dy}{dx}\\ -\frac{y}{3y^2+x}=\frac{dy}{dx}\\ \frac{dy}{dx}=-\frac{y}{3y^2+x}

You might be interested in
A number equivalent to 63.24
tankabanditka [31]
63.24 is equivalent to 63.240.
7 0
4 years ago
Read 2 more answers
Eleni bought 3 packs of crayons. She then found 3 crayons in her desk Eleni now has 24 crayons. How many crayons were in each pa
Mama L [17]

Answer:

7 crayons in each pack

Step-by-step explanation:

1. subtract the 3 found crayons from the total (24)

    24-3 = 21

2. divide 21 by 3 packs

   21/3 = 7

5 0
3 years ago
Find the midpoint of the segment with the given endpoints.
andrew-mc [135]
To solve for the midpoint of the segment we use the equation that is given as:

(x1 + x2 / 2) , (y1 + y2 / 2)

For the points given,

(x1 + x2 / 2) , (y1 + y2 / 2)
(3+ 2 / 2) , (-5 + 9 / 2)
(5/2 , 2) or (2.5 , 2)

Hope this answers the question. Have a nice day. Feel free to ask more questions.
7 0
3 years ago
Read 2 more answers
Consider the arithmetic sequence 13, 16, 19, 22, 25, ...<br> What is the 60th term in the sequence?
Pavel [41]

Answer:

180

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What was the population in 2008?<br> Can someone explain this to me?
Bas_tet [7]

Answer:

UNITED STATES ITALY DEM. REP. CONGO

Population mid-2008 305 million 60 million 67 million

Population 2050 (projected) 438 million 62 million 189 million

Lifetime births per woman 2.1 1.3 6.5

Percent of population below age 15 20% 14% 47%

Percent of population ages 65+ 13% 20% 3%

Life expectancy at birth 78 years 81 years 53 years

Annual births 4.3 million 568,120 2.9 million

Annual deaths 2.4 million 575,300 0.8 million

Annual births minus deaths 1.9 million -7,200 2.1 million

Percent of population undernourished <2.5% <2.5% 74% hope this helps!

6 0
2 years ago
Read 2 more answers
Other questions:
  • On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left
    5·2 answers
  • The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area aff
    8·2 answers
  • Help me please? I'm kind of lost
    7·1 answer
  • Solve for a <br> 1/4a+1/3=1/3a+5/4
    10·1 answer
  • A regular hexagon is to be cut out of a circular sheet of metal that has a radius of 6 inches.
    12·1 answer
  • Help what is the quadratic equation because I think I did it wrong
    9·1 answer
  • Pls hurry and no links
    14·2 answers
  • HELP I NEED THIS ANSWERED!!!!!!! MY MOM WILL KILL ME​
    10·1 answer
  • PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours?
    9·1 answer
  • Can somebody please help with this?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!