The last one is rational because it is a terminating decimal.
Answer:
Step-by-step explanation:
Given that,
y' = 17y ( 1-y^7)
Let y=1
Then, y' = 0 for all t
Then show that it is the only stable equilibrium point so that as y→1, t→∞ with any initial value.
So, the graph solution will be
y(0) = 1 and this will be an horizontal line
If, y(0) > 1 then, y' < 0 by inspecting the first equation, so the graph is has decreasing solution.
Likewise, if y(0) < 1 then, y' > 0 and the graph is increasing.
So no matter the initial condition, graph of the solution will be asymptotic to the horizontal line above.
This make the limit be 1.
This shows that x = 1 is a stable equilibrium.
Answer:
180
Step-by-step explanation:
A 180 rotation will be
(x, y) -> (-x, -y)
Answer:
x=30
Step-by-step explanation:
Exterior Angle Theorem = the exterior angle of a triangle is equal to the sum of the two opposite interior angle
Thus, 2x+6+36=4x-18
2x+42=4x-18 add 18 to both side
2x+60=4x minus 2x
60=2x
x=30
Answer:
So, the present accumulated value is, $ 49557.69
Step-by-step explanation:
According to the question, payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. So, present accumulated value, =
$ 
= $ 
$ 49557.69
So, the present accumulated value is, $ 49557.69
