Answer:
L(f(t)) = 
Step-by-step explanation:
let f be a function defined for t ≥ 0
we can write the function f(t) in terms of unit function as follows
f(t) = 2 u,(t) - 1 where
0≤ t < 1
f(t) = (2 * 0) -1 = -1
when t ≥ 1
f(t) = (2*1 )- 1 = 1
Now the Laplace transform L(F(T)) = 2L( u, (t) ) - L(1) --------equation 1
this is because L(u,(t)) = 
c = 1 hence L(1) = 1/s
back to equation 1
L(f(t)) = 2 - 1/s laplace transform
also L(u(t) ) = 
Answer:
32units
Step-by-step Explanation :
Area of rectangle = length × Width
x = 8 × 4
x = 32
Part A) This equation has only one solution.
Part B:
4(2x−5)=4
Simplify both sides of the equation.
4(2x−5)=4
Simplify:
4(2x−5)=4
(4)(2x)+(4)(−5)=4(Distribute)
8x+−20=4
8x−20=4
Add 20 to both sides.
8x−20+20=4+20
8x=24
Divide both sides by 8.
8x / 8 = 24 / 8
x=3
Answer: Third option
Step-by-step explanation:
We have the vector u and the vector v. We must perform the operation 
.
To perform this operation multiply the vector u by -1 and multiply the vector v by -1.
If u = (-5,6)
So
-1u = (5, -6)
If v = (7, -3)
So
-1v = (-7, 3)
Then the sum of both vectors is done by adding the components of u with the components of v.
