A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 40 cells. (a) Find the relative growth rate. 3 In (2) V hr-1 k = (b) Find an expression for the number of cells aftert hours. P(t) = 40 ·23t (c) Find the number of cells after 7 hours. 83886080 cells (d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.) X cells/h

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.