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The volume of a microbial culture increases according to the formula:
V (cm^3) = 5 - 0.2 t e^t
Where t is the time in seconds. It is requested:
a. The units of the constants 5 and 0.2
b. Calculate the expression for V (in^3) in terms of t (h).
c. The exponential function and its argument must be non-dimensional. In appearance, the given function contradicts two rules and, however, is valid. Explain the paradox.