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:
V = pi 36 units^3
V =113.04 units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 2) ^2 *9
V = pi 36
Letting pi = 3.14
V =113.04
1/2x + 5 = 35
You use 1/2 because she sold half of her books . Then +5 because she gained 5 back and 35 because your end total should be 35.
Hope this helps ! :)
Number Two or B would be correct
