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
Grayson did not simplify the question
Answer:
y=7x -8
Step-by-step explanation:
I used desmos but you can also use an equation. I'm sure you're teacher taught you how.
The formula for circumference of a circle
=
2
π
r
The radius
=
3
c
m
(assuming units to be in cm)
2
π
r
=
2
×
22
7
×
3
=
132
7
=
18.86
c
m
