Question: User: 55. [T] A certain bacterium grows in culture in a circular
region. The radius of the circle, measured in centimeters,
is given by r(t) = 6 - [5/(t^2 + 1)], where t is time
measured in hours since a culture of a 1-cm radius of the
bacterium was put into the culture.
a. Express the area of the bacteria as a function of
time.
b. Find the exact and approximate area of the bacterial
culture in 3 hours.
c. Express the circumference of the bacteria as a function
of time.
d. Find the exact and approximate circumference of
the bacteria in 3 hours.
Graph shape: none visible; position_hint = center
55. [T] A certain bacterium grows in culture in a circular region. The radius of the circle, measure
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