Answer
(a) 
(b) 
Step-by-step explanation:
(a) 
δ(t)
where δ(t) = unit impulse function
The Laplace transform of function f(t) is given as:
where a = ∞
=> 
where d(t) = δ(t)
=> 
Integrating, we have:
=> 
Inputting the boundary conditions t = a = ∞, t = 0:
(b) 
The Laplace transform of function f(t) is given as:
Integrating, we have:
![F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.](https://tex.z-dn.net/?f=F%28s%29%20%3D%20%5B%5Cfrac%7B-e%5E%7B-%28s%20%2B%201%29t%7D%7D%20%7Bs%20%2B%201%7D%20-%20%5Cfrac%7B4e%5E%7B-%28s%20%2B%204%29%7D%7D%7Bs%20%2B%204%7D%20-%20%5Cfrac%7B%283%28s%20%2B%201%29t%20%2B%201%29e%5E%7B-3%28s%20%2B%201%29t%7D%29%7D%7B9%28s%20%2B%201%29%5E2%7D%5D%20%5Cleft%20%5C%7B%20%7B%7Ba%7D%20%5Catop%20%7B0%7D%7D%20%5Cright.)
Inputting the boundary condition, t = a = ∞, t = 0:
Answer:
Greater number is 24 and smaller number is 18.
Step-by-step explanation:
According to the question first case will be x+y=41 by solving it y=41-x and second case will be x=y-5 put the value of y in second case. The answer will come. (hope you will get it)
Answer:
One real root, with multiplicity 7.
Step-by-step explanation:
The given expresion is
This is a seventh degree polynomial.
According to the fundamental theorem of Algebra, the expression has a potential 7 roots both real and complex.
This expression has one real root, with multiplicity , 7.
Answer:
1. b
Step-by-step explanation:
Answer:
6/2.
Step-by-step explanation:
1 whole is 2/2.
3 times 2/2 is 6/2.
An improper fraction means the numerator is bigger then the denominator, so we know that 6/2 is even an improper fraction.
