#Question id: 40584
#Unit 12. Biochemical Engineering
In the open-loop process shown in the figure, the input 𝑈(𝑠), the transfer function 𝐺𝑝(𝑠) and the output 𝑌(𝑠) are given in the Laplace domain in terms of the Laplace variable s. For this process, which of the following is true?
(where 𝑀, 𝜏𝑝,𝐾𝑃, are the magnitude of the input, the characteristic time and the gain for the process, respectively)
#Question id: 40563
#Unit 12. Biochemical Engineering
The transfer function of a Proportional-Integral (PI) controller 𝐺𝐶(𝑠) is given by
where 𝐾𝐶 is the controller gain, 𝜏𝐼 is the controller integral time constant and s is the Laplace variable. The role of the integral component of the controller is to ____________.
#Question id: 40560
#Unit 12. Biochemical Engineering
Which of the following is one of the eigenvalues for the matrix given below?
#Question id: 40559
#Unit 12. Biochemical Engineering
Consider the two functions 
and 𝑓2(𝑥) = 𝑥
2 − 2𝑥 + 2. Which of the following is the value of (𝑓1
(𝑥) + 𝑓2(𝑥)) as 𝑥 → 2 ?
#Question id: 31564
#Unit 12. Biochemical Engineering
A circle with center at (𝑥, 𝑦) = (0.5, 0) and radius = 0.5 intersects with another circle with center at (𝑥, 𝑦) = (1, 1) and radius = 1 at two points. One of the points of intersection (𝑥, 𝑦) is:
#Question id: 31569
#Unit 12. Biochemical Engineering
The minimum value of the function 
for 𝑥 > 0 is