#Question id: 40561
#Unit 12. Biochemical Engineering
Which of the following functions has the highest area under the curve between 𝑥 = 0 and 𝑥 = 10?
#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: 31568
#Unit 12. Biochemical Engineering
Let 𝑦(𝑡) be a bacterial population whose growth is given by where 𝜆 is the growth rate constant. If 𝑦(0) = 1 and 𝑦(1) = 4, then the value of
𝜆 is
#Question id: 31569
#Unit 12. Biochemical Engineering
The minimum value of the function for 𝑥 > 0 is
#Question id: 31612
#Unit 12. Biochemical Engineering
The output 𝑦(𝑡) of a first-order process is governed by the following differential
equation where 𝜏𝑝 is a non-zero time constant, 𝐾𝑝 is the gain and 𝑓(𝑡) is the input with
𝑓(0) = 0.
Assume 𝑦(0) = 0. The transfer function for this process is (consider 𝑠 as the
independent variable in the Laplace domain)
#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
