Tetanus bacillus bacteria are 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 decrease as the culture becomes unstable. The variable t is the time in hours after the culture has started, and y t is the yield of toxin in grams. (See Example 6) a. Use regression to find a quadratic function to model the data. b. At what time is the yield the greatest? Round to the nearest hour. c. What is the maximum yield? Round to the nearest gram.
Tetanus bacillus bacteria are 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 decrease as the culture becomes unstable. The variable t is the time in hours after the culture has started, and y t is the yield of toxin in grams. (See Example 6) a. Use regression to find a quadratic function to model the data. b. At what time is the yield the greatest? Round to the nearest hour. c. What is the maximum yield? Round to the nearest gram.
Solution Summary: The author analyzes the quadratic function of the following data by using Ti-83 graphing calculator.
Tetanus bacillus bacteria are 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 decrease as the culture becomes unstable. The variable t is the time in hours after the culture has started, and
y
t
is the yield of toxin in grams. (See Example 6)
a. Use regression to find a quadratic function to model the data.
b. At what time is the yield the greatest? Round to the nearest hour.
c. What is the maximum yield? Round to the nearest gram.
University Calculus: Early Transcendentals (4th Edition)
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