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3 years ago

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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Refer to the various selling prices of various homes in a community that follow the normal distribution with mu (population mean

blsea [12.9K]

Answer:

0.43715

Step-by-step explanation:

We solve using z score calculator

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $276,000

σ is the population standard deviation = 32,000

For x = $276,000

z = 276,000 - 276,000/32000

z = 0

Probability value from Z-Table:

P(x = 276000) = 0.5

For x = $325,000

z = 325,000 - 276,000/32000

z = 1.53125

Probability value from Z-Table:

P(x = 325000) = 0.93715

The probability that the next house in the community will sell for between $276,000 and $325,000 is

P(x = 325000) - P(x = 276000)

= 0.93715 - 0.5

= 0.43715

8 0

3 years ago

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Represent equations 1, 2 and 3 in matrix form gives:

$\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]$

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0

3 years ago

This is on claskick 7th grade 7(m +2n)<br> 7( )+ 7 ( )

mixer [17]

Answer: 7(m+2m) is equal to 7(m) + 7(2m)

5 0

3 years ago

(2,7) (-1-8) write the equations in slope intercept form

AveGali [126]

Answer:

y-mx+b

(2,7) (-1, -8)

y=5x-3

8 0

3 years ago

13. Which system of inequalities has no solution?

Anit [1.1K]

Answer:

Option A

Step-by-step explanation:

We have y < 2x - 4 and y > 2x + 1.

=> 2x - 4 > 2x + 1

=> -4 > 1

Since this inequality is false for all real values of x, there is no solution for the system of inequalities.

8 0

3 years ago

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

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