#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
#Question id: 31614
#Unit 12. Biochemical Engineering
Let 𝑚 and 𝑛 be fixed real numbers. If the function 𝑦(𝑡) = 𝐶1𝑒
𝑡 + 𝐶2𝑒
−𝑡
is a
solution of for any constants 𝐶1 and 𝐶2, then 𝑚 + 𝑛 is equal to
