The following is an initial value, second-order differential equation: d2 x dt 2 1 (5x) dx dt 1 (x 1 7)sin(vt) 5 0 where dx dt (0) 5 1.5 and x(0) 5 6 Note that v 5 1. Decompose the equation into two fi rst-order differential equations. After the decomposition, solve the system from t 5 0 to 15 and plot the results.

a

step-by-step explanation:

people grow faster than other people.

step-by-step explanation:

should you really be posting this isn't math boi.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.