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.)
Can some one please explain these both! Thanks so much
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.
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.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Thomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning