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:
speed of light movement when boat is 1 mile from light house is 0.029 miles/sec
Step-by-step explanation:
Given data:
distance of boat from light house is 2 miles
rate of turning of light is 100 degree per minute
w = 100 degree/min

w = 1.745 rad/min
w = 0.0290 rad/sec
speed of movement of light 

thus speed of light movement when boat is 1 mile from light house is 0.029 miles/sec
<span>D. The Maya feathered serpent symbolizes the creator god Kukulcan</span>
Answer:
I think it is -4^3
Step-by-step explanation:
because I say so