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.
The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the
population in the year 2000 was 22600.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
r
The solutions are 1
where x1 x2-
● Question 11
Solve: x 54
Give your answer as an interval.
Question 12
University Calculus: Early Transcendentals (4th Edition)
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