Answer:
x(t)=
Step-by-step explanation:
The function x(s) = (2)/(s(s+1)^2) can be expressed as partial fractions:
X(s)=
2=A·(s+1)²+B·s·(s+1)+C·s
2=A·(s²+2s+1)+B·(s²+s)+C·s
2=A·s²+2sA+A+B·s²+Bs+C·s
2=s²(A+B)+s(2A+B+C)+A
So we can find the values of A, B and C by solving these equations:
A+B=0 ⇒ 2+B=0 ⇒ B= -2
2A+B+C=0 ⇒ 2·2+(-2)+C=0 ⇒ C= -2
A=2
So X(s) is expressed as:
X(s)=
Using the inverse laplace transform tables we obtain x(t):
ℒ⁻¹{X(s)}=ℒ⁻¹{}
ℒ⁻¹{X(s)}=ℒ⁻¹{}+ℒ⁻¹{}+ℒ⁻¹{}
x(t)=
Answer:
1. 5
2. 13
3. 25
4. 7
Step-by-step explanation:
|-5|=5
|13|=13
|25|=25
|7|=7
9r=108
To solve for r, we must isolate it. To do this, divide both sides by 9.
r=108/9
Simplified, r=9
Since there was five boxes of crayons and there was 3 crayons in each one, the would be 15 in total. (crayons) And there was three people, 15/3=5 crayons per person.
Equation: 3x=15
x stands for the amount of crayons each person gets.
300% change. 36/12. 100%=12, 12*3=36, therefore 100%*3=300%