Dispersal in exercise 8.5.9 we modeled the dispersal of dragonflies using the recursion xt1+1 =axt, where
a=
[0.8 0.3
0.2 0.7]
(a) verify that the perron-frobenius theorem can be applied to this model.
(b) calculate the eigenvalues of a.
(c) given your answers to parts (a) and (b), what is the
long-term behavior of xt?
(d) using the initial condition x0 =
[1
1], express the solution to the recursion in terms of the eigenvectors and eigenvalues of a.
(e) verify your answer to part (c) using the solution you obtained in part (d).

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )

1st part is 64,000,000

2nd part 500,000

step-by-step explanation:

step-by-step explanation:

se a cavasery6