6a. By the convolution theorem,

6b. Similarly,

7. Take the Laplace transform of both sides, noting that the integral is the convolution of
and
.


where
. Then
, and

We have the partial fraction decomposition,

Then we can easily compute the inverse transform to solve for f(t) :


Answer:
x=3
Step-by-step explanation:
4-2x-4=-2-4
-2x=-6
\frac{-2x}{-2}=\frac{-6}{-2}
x=3
if i can get brainliest that would be great
X+x+2= 56 2x=54 The answer is 27 and 29
Answer:
the answer of this question is = 6x + 18
Correct answer is: F(x)=-x^2-3
Step-by-step explanation:
We are given a function:
The graph of is also shown in the given question figure.
It is a parabola with vertex at (0,0).
Sign of is positive, that is why the parabola opens up.
General equation of parabola is given as:
Here, in G(x), a = 1
Vertex (h,k) is (0,0).
As seen from the question figure,
The graph of F(x) opens down that is why it will have:
Sign of as negative. i.e.
And vertex is at (0,-3)
Putting the values of a and vertex coordinates,
Hence, the equation of parabola will become: