The bank account owner is withdrawing money at the rate of $50/month. The account balance is steadily declining.
dy/dx = 2xy
dy/y = (2x)dx
INT(1/y)dy = INT(2x)dx
ln y + c = x^2 + d
ln y = x^2 + constant
y = e^(x^2 + constant)
1 = e^constant ... so constant=0 ... so y = e^(x^2)
Verification:
y = e^(x^2)
dy/dx = 2x*e^(x^2) = 2xy
<span>and e^(0^2) = e^0 = 1
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
Answer:
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation
Step-by-step explanation:
There is a factor of a outside of the parentheses on the right has side
We are really adding a( b^2/4a^2) to the right side
Simplifying we are adding b^2 /4a
This is what we need to add to the left side to be fair and equal.
We used the distributive property to determine what we were actually adding to the right side.
Step-by-step explanation:
y = mx + c
When x = 0, y = 2.
=> (2) = m(0) + c, c = 2.
When x = 3, y = 8.
=> (8) = m(3) + 2, 3m = 6, m = 2.
Hence the answer is y = 2x + 2.
Answer:
a) Domain: All real numbers
b) Domain: -4<x<=4
a) Range: All real numbers greater than 2
b) Range: 0<=y<=4
Step-by-step explanation:
Domain is the possible x values
Range is the possible y values
Open circle means not included
Close circle means included
