Answer:
The attached system shows that there’s an integrator between the point where disturbance enters the system and error measuring element. A any time when R(s)=0 then
and considering that 
then
For ramp disturbance d(t)=at
therefore, the steady state error is given by
![e(\infty)= \lim_{s \to 0} s [\frac {D(s)}{1+G_c(s)G(s)}]](https://tex.z-dn.net/?f=e%28%5Cinfty%29%3D%20%5Clim_%7Bs%20%5Cto%200%7D%20s%20%5B%5Cfrac%20%7BD%28s%29%7D%7B1%2BG_c%28s%29G%28s%29%7D%5D)
![e(\infty)= \lim_{s \to 0} s [\frac {a}{s^{2}+s^{2}G_c(s)G(s)}]](https://tex.z-dn.net/?f=e%28%5Cinfty%29%3D%20%5Clim_%7Bs%20%5Cto%200%7D%20s%20%5B%5Cfrac%20%7Ba%7D%7Bs%5E%7B2%7D%2Bs%5E%7B2%7DG_c%28s%29G%28s%29%7D%5D)
![e(\infty)= \lim_{s \to 0} s [\frac {a}{s+sG_c(s)G(s)}]](https://tex.z-dn.net/?f=e%28%5Cinfty%29%3D%20%5Clim_%7Bs%20%5Cto%200%7D%20s%20%5B%5Cfrac%20%7Ba%7D%7Bs%2BsG_c%28s%29G%28s%29%7D%5D)
![e(\infty)= \lim_{s \to 0} s [\frac {a}{sG_c(s)G(s)}]](https://tex.z-dn.net/?f=e%28%5Cinfty%29%3D%20%5Clim_%7Bs%20%5Cto%200%7D%20s%20%5B%5Cfrac%20%7Ba%7D%7BsG_c%28s%29G%28s%29%7D%5D)
Whenever 
has a double intergrator, the error 
becomes zero
Answer:
The right answer is "2.2099 m³".
Explanation:
Given:
Mass,
m = 5 kg
Temperature,
T = 35℃
or,
= 35 + 273
Pressure,
P = 200 kPa
Gas constant,
R = 0.2870 kj/kgK
By using the ideal gas equation,
The volume will be:
⇒ 
or,
⇒ 
By substituting the values, we get
Answer:
I can share a link to answer since the code is to long to be contained here. the code is on github
https://github.com/arafatm/edu_coursera_machine_learning_1_foundations/blob/master/code/02.01.predicting.house.prices.ipynb
Explanation:
2. Builders test for radon gas in new home construction
Answer:
An improper integral is a definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration
Explanation:
