The Clostridium tetani bacterium is cultured to produce tetanus toxin used in an inactive form for the tetanus vaccine. The amount of toxin produced per batch increases with time and then becomes unstable. The amount of toxin b ( t ) (in grams) as a function of time t (in hours) can be approximated by: b ( t ) = − 1 1152 t 2 + 1 12 t a .How many hours will it take to produce the maximum yield? b .What is the maximum yield?
The Clostridium tetani bacterium is cultured to produce tetanus toxin used in an inactive form for the tetanus vaccine. The amount of toxin produced per batch increases with time and then becomes unstable. The amount of toxin b ( t ) (in grams) as a function of time t (in hours) can be approximated by: b ( t ) = − 1 1152 t 2 + 1 12 t a .How many hours will it take to produce the maximum yield? b .What is the maximum yield?
Solution Summary: The author calculates the time at which the bacterium will get maximum yield by using a ti-83 calculator.
The Clostridium tetani bacterium is cultured to produce tetanus toxin used in an inactive form for the tetanus vaccine. The amount of toxin produced per batch increases with time and then becomes unstable. The amount of toxin
b
(
t
)
(in grams) as a function of time t (in hours) can be approximated by:
b
(
t
)
=
−
1
1152
t
2
+
1
12
t
a.How many hours will it take to produce the maximum yield?
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