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:
4 cm
Step-by-step explanation:
If 6 inches = 1 cm, and 24 inches divided 6 inches = 4, then it would be 4 cm.
Answer:
Arc KL
Arc OM
Step-by-step explanation:
We know that Angle NPM is equal to 90 degrees.
Therefore, Angle KPM is also equal to 90 degrees.
We are told that Arc LM is equal to 67.
Thus, the measure for Arc KL is equal to
We also know that Angle OPN is equal to Angle KPL.
Therefore, the measure of Arc ON
Using that information, we know that Arc OM is equal to
Hope I helped!
Answer:
128 and 204
Step-by-step explanation <em>(note, it is not the shortest way)</em>:
- if the initial value of the 1st number is 'x' and of the 2d number is 'y', then after decreasing their values is 0.8x and 0.85y. The phrase 'then the sum would be 68 less' means the sum after decreasing is 400-68=332.
- Using this it is possible to make up the system of two equations then resolve it:
- before decreasing x=160 and y=240. After decreasing x=160*0.8=128 and y=0.85*240=204.