Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
Answer:
4,300
Step-by-step explanation:
Is 289 closer to 300 or 200?
V
[300] [200]
Add the 4
= 4, 300
- I . A -
The answer is 68cm^2. Hope this helps!
Answer:
1/2
Step-by-step explanation:
2/3 - 1/6
Get a common denominator of 6
2/3 *2/2 - 1/6
4/6 - 1/6
3/6
Simplify
1/2