Use Theorem to find ℒ{f(t)}.
f(t) = (et − e−t)2

Step-by-step explanation:

Here, the question is to find the Laplace transformation of

where,

We know that for ,  

Here, we have

So, the laplace transformation of is

Now, using equation

Hence, the Lapelace transformation of is

.

45

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct