#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
#Question id: 31615
#Unit 12. Biochemical Engineering
If the function where 𝑎 and 𝑏 are constants, is differentiable at 𝑥 = 0, then 𝑎 + 𝑏 is equal to
#Question id: 31762
#Unit 12. Biochemical Engineering
#Question id: 31763
#Unit 12. Biochemical Engineering
#Question id: 31766
#Unit 12. Biochemical Engineering
