During a fermentation experiment, the population P(t ) (in millions per mL) of bacteria Lactobacilli reuteri after t hours in a barley medium satisfied the differential equation dP/dt = 0.14p (1- P/20) Initially, 1.6 million bacteria per mL were present.
(a) Determine the number of bacteria per mL after 5 hr.
(b) Determine when 10 million bacterial per mL will be present.
(a) 2.9803 million
(b) 17.45 hours
You might also like to view...
Find the indicated derivative. Assume that x is restricted so that ln is defined.
if y = x16 ln x
A. 16x15 B. 16x15ln x C. 16x15ln x + x15 D. 16x15ln x + x16
Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms.A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. Find the probability of getting the same outcome on each toss.
A. 
B. 
C. 1
D. 
Provide an appropriate response.Perform the indicated operation and write the answer in the form of a + bi: 6i(3 - 2i)
Fill in the blank(s) with the appropriate word(s).
If the sides of a triangle are a, b, and c and they satisfy a2 + b2 = c2, the triangle is a right triangle. Determine whether the triangle with the given sides is a right triangle.a = 1, b = 1, c = 2
A. Yes B. No