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
Slav-nsk [51]
3 years ago
10

Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0
1/2y^2=1/2x^2+8. The curve's slope at (x,y) is x/y, so dy/dx=x/y. To solve this differential equation, rearrange it to: y*dy=x*dx, and by integrating both sides, we get 1/2y^2=1/2x^2+C (some constant). Plug in (0,4) into this equation, 8=0+C, so C=8. The curve's equation is 1/2y^2=1/2x^2+8.
You might be interested in
What is the sum of <br> 8+(–4/1/6)
elena-14-01-66 [18.8K]
Use the Order of operations  but don't use pemdas...use GEMS :)
3 0
3 years ago
Read 2 more answers
Does 5(20-8)=17 the problem says which statement is true
stich3 [128]
This is false because 20-8 is 12 and 12 times 5 isnt 17
5 0
3 years ago
Read 2 more answers
Please help w number 2 :) A-B
suter [353]
Peter piper picked a pepper
5 0
3 years ago
simplify the rational expression. state any restrictions on the variable. ((n^(4)-11n^(2)+30))/(n^(2)-7n^(2)+10)
sergeinik [125]
Hi, (n2 -6 ) (n2 - 5) - 2 (3n2 - 5)
4 0
3 years ago
A ball is kicked upward with an initial velocity of 32 feet per second. The ball's height, h (in feet), from the ground is model
stellarik [79]

Answer:

1.        t = 0.995 s

2.       h = 15.92  ft

Step-by-step explanation:

First we have to look at the following formula

Vf = Vo + gt

then we work it to clear what we want

Vo + gt = Vf

gt = Vf - Vo

t = (Vf-Vo)/g

Now we have to complete the formula with the real data

Vo = 32 ft/s      as the statement says

Vf = 0     because when it reaches its maximum point it will stop before starting to lower

g = -32,16 ft/s²        it is a known constant, that we use it with the negative sign because it is in the opposite direction to ours

t = (0 ft/s - 32 ft/s) / -32,16 ft/s²

we solve and ...

t = 0.995 s

Now we will implement this result in the following formula to get the height at that time

h = (Vo - Vf) *t /2

h = (32 ft/s - 0 ft/s) * 0.995 s / 2

h = 32 ft/s * 0.995 s/2

h = 31.84 ft / 2

h = 15.92  ft

4 0
2 years ago
Other questions:
  • Geometry Help
    6·2 answers
  • What is the smallest solution to the equation 2x^2+17=179
    7·1 answer
  • A chef can make 12 omelets in one hour. What is the rate of omelets per minute?
    8·1 answer
  • Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the
    13·2 answers
  • Anthony cut a piece of metal that weigh 2700 grams Diane cut a piece of metal that weighs 3200 grams how much heavier was Diane
    5·1 answer
  • Without computing each​ sum, find which is​ greater, O or​ E, and by how much
    13·2 answers
  • URGENT! PLEASE HELP
    11·1 answer
  • Find the greatest common factor of the following monomials:<br><br> 20m<br><br> 8m5
    15·1 answer
  • Please help with the blue dots (probability)
    14·2 answers
  • What is the greatest common factor of 36 and 42?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!