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alexdok [17]
3 years ago
12

Consider the system x' = rx + x3 - x5​, which exhibits a pitchfork bifurcation.

Mathematics
1 answer:
trapecia [35]3 years ago
5 0

Answer:

rs = -3/16  and the three minima x₁, x ₂ and x₄ fall at  the value of integrating curve C

Step-by-step explanation:

The answer is found in the attachment.

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Math (10 points) help please
nevsk [136]

Answer:

I would help but I am not good with graphing.

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3 years ago
A man spends 80% of his salary and saves the rest. He saves $1080 a month. Find his salary
raketka [301]
His salary is $5.400.00

7 0
3 years ago
Please choose the answer that describes the scientific notation for 3,134,000,000
topjm [15]

Answer:

= 3.134 × 10^9

(scientific notation)

= 3.134e9

(scientific e notation)

= 3.134 × 10^9

(engineering notation)

(billion; prefix giga- (G))

= 3134000000

(real number)

Step-by-step explanation:


6 0
3 years ago
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
Simplify the following expression 2x cubed y cubed over 4y squared
Mekhanik [1.2K]

3xcubed y to the fifth over 2

4 0
3 years ago
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