Consider the wave equation for the infinite string on the entire real line    utt − uxx = 0 x ∈ R, t > 0 u(x, 0) = 0 ut(x, 0) = ψ(x) with ψ(x) = ( 0, x ≤ 4 1, 4 < x. Find the values of u(t, x) for all (t, x) and write down the answers on the regions of the (t, x)-plane. (4 pts) Draw the profile of the string at times t = 2 and t = 4. (2 pts)

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1

17.08

correct me if i am wrong.

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.

35%

step-by-step explanation: