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:
B
Step-by-step explanation:
233/285*100
0.81754*100
81.754%
Answer:
B.2r+6=30
Explanation:
It costs $6 dollars just to get in. Subtract 6 from 30. 30-6=24
Divide 24 by 2. 24 divided by 2 equals 12.
Answer:
Step-by-step explanation:
1. (a) 24 X 3/4= 18 multiplication
you have to multiply to get a smaller answer since you are using a fraction.
2. (a) 24 / (-3/4)= -32 division
you have to divide to get a bigger number than started since you are using a fraction
3. (A) 12-15= -3 subtraction
when you subtract a bigger number than the first number you end up normally with a negative number
4. (a) 12 -(-15) subtraction
when you subtract with a negative number you distribute so the two negatives cancel out and it become an addition sign. (if you look at it the two negatives and the parenthesis looks like an addition sign (+)
5. (A) -18 / (-3/4) =24 division
when you divide two negative values you will always get a positive answer. And again dividing a fraction will get you a bigger answer.
