Similar to problem 8 of homework 9, use the method of eigenvalue and eigenvector to solve the following system of differential equations. dx1 dt = −x1 + 4x2 + 2x3 dx2 dt = 4x1 − 1x2 − 2x3 dx3 dt = 0x1 + 0x2 + 6x3

that is, write the above system in matrix form x0 = ax, then find a matrix p such that p −1ap = d, where d is some appropriate diagonal matrix.

after that, use the substitution x = p y to decouple the system into differential equations in y, solve that system, and convert it back to x.

yes

step-by-step explanation:

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.

22, 28, 34, 40, 46

b)   f(n) = 6n + 16

n = what is the number of the row ( 22 would be row 1) so if we replaced n with 1, we would get 22

c)   the 14th row will have 100 seats

(1)   (2)   (3)   (4)   (5)   (6)   (7)   (8)   (9)   (10) (11) (12) (13) (14)

22 | 28 | 34 | 40 | 46 | 52 | 58 | 64 | 70 | 76 | 82 | 88 | 94 | 100

answer is your mom hey