The population of bacteria (in millions) in a certain culture x hours after an experimental 35x nutrient is introduced into the culture is. P(x) = 5+x? Use the differential to approximate the changes in population for the following changes in x. a. 2 to 2.5 b. 5 to 5.25 a. Use the differential to approximate the change in population for x = 2 to 2.5. Between 2 and 2.5 hours, the population of bacteria changes by (Round to three decimal places as needed.) million. b. Use the differential to approximate the change in population for x = 5 to 5.25. Between 5 and 5.25 hours, the population of bacteria changes by million. (Round to three decimal places as needed.)
The population of bacteria (in millions) in a certain culture x hours after an experimental 35x nutrient is introduced into the culture is. P(x) = 5+x? Use the differential to approximate the changes in population for the following changes in x. a. 2 to 2.5 b. 5 to 5.25 a. Use the differential to approximate the change in population for x = 2 to 2.5. Between 2 and 2.5 hours, the population of bacteria changes by (Round to three decimal places as needed.) million. b. Use the differential to approximate the change in population for x = 5 to 5.25. Between 5 and 5.25 hours, the population of bacteria changes by million. (Round to three decimal places as needed.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can some one please explain these both! Thanks so much
![The population of bacteria (in millions) in a certain culture x hours after an experimental
35x
nutrient is introduced into the culture is P(x) =
Use the differential to approximate the changes in population for the following changes in x.
5+x
a. 2 to 2.5
b. 5 to 5.25
a. Use the differential to approximate the change in population for x=2 to 2.5.
Between 2 and 2.5 hours, the population of bacteria changes by million.
(Round to three decimal places as needed.)
b. Use the differential to approximate the change in population for x = 5 to 5.25.
Between 5 and 5.25 hours, the population of bacteria changes by
million.
(Round to three decimal places as needed.)
Enter your answer in each of the answer boxes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5350919d-d81b-4a95-8193-77894c363165%2Fb9d8f755-1a18-491c-9d62-de5820c5df01%2F3w9elwq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The population of bacteria (in millions) in a certain culture x hours after an experimental
35x
nutrient is introduced into the culture is P(x) =
Use the differential to approximate the changes in population for the following changes in x.
5+x
a. 2 to 2.5
b. 5 to 5.25
a. Use the differential to approximate the change in population for x=2 to 2.5.
Between 2 and 2.5 hours, the population of bacteria changes by million.
(Round to three decimal places as needed.)
b. Use the differential to approximate the change in population for x = 5 to 5.25.
Between 5 and 5.25 hours, the population of bacteria changes by
million.
(Round to three decimal places as needed.)
Enter your answer in each of the answer boxes.
![dy
for 3xe y = 6- In 16+4ln x, with the conditions
dx
= 6, x=2, y=0.
Assume x and y are functions of t. Evaluate
dt
dt
dy
D
dt
(Type an exact answer in simplified form.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5350919d-d81b-4a95-8193-77894c363165%2Fb9d8f755-1a18-491c-9d62-de5820c5df01%2Ftsqw464_processed.jpeg&w=3840&q=75)
Transcribed Image Text:dy
for 3xe y = 6- In 16+4ln x, with the conditions
dx
= 6, x=2, y=0.
Assume x and y are functions of t. Evaluate
dt
dt
dy
D
dt
(Type an exact answer in simplified form.)
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