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11. A culture contains 1000 bacteria initially. Then after 2 hours the bacteria count is 8000. a. Find the rate at which the bacteria is changing, showing all your thinking. Does it correspond to the equation modeling this situation A(t) =1000e103972r ? b. Find the number of bacteria after 5 hours. c. After how many hours will the culture contain 15,000 bacteria?

11. A culture contains 1000 bacteria initially. Then after 2 hours the bacteria count is 8000. a. Find the rate at which the bacteria is changing, showing all your thinking. Does it correspond to the equation modeling this situation A(t) =1000e103972r ? b. Find the number of bacteria after 5 hours. c. After how many hours will the culture contain 15,000 bacteria?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Give EXACT answers and APPROXIMATE answers using your calculator. 11. A culture contains 1000 bacteria initially. Then after 2 hours the bacteria count is 8000. a. Find the rate at which the bacteria is changing, showing all your thinking. Does it correspond to the equation modeling this situation A(t)= 1000e.03972r ? b. Find the number of bacteria after 5 hours. c. After how many hours will the culture contain 15,000 bacteria?
Transcribed Image Text:Give EXACT answers and APPROXIMATE answers using your calculator. 11. A culture contains 1000 bacteria initially. Then after 2 hours the bacteria count is 8000. a. Find the rate at which the bacteria is changing, showing all your thinking. Does it correspond to the equation modeling this situation A(t)= 1000e.03972r ? b. Find the number of bacteria after 5 hours. c. After how many hours will the culture contain 15,000 bacteria?
10. The half-life of krypton-91 (" Kr) is 10 seconds. At time t = 0, a heavy canister contains 3 grams of this radioactive gas. a. Find a function A(t)= P,M that models the amount of " Krremaining in the canister after t seconds. b. Find a function A(t)= Pe" that models the amount of Krremaining in the canister after t seconds. c. How much " Kr remains after 2 minutes? d. After how long will the amount of "Kr remaining be reduced to 1 ug (microgram or 10* grams?
Transcribed Image Text:10. The half-life of krypton-91 (" Kr) is 10 seconds. At time t = 0, a heavy canister contains 3 grams of this radioactive gas. a. Find a function A(t)= P,M that models the amount of " Krremaining in the canister after t seconds. b. Find a function A(t)= Pe" that models the amount of Krremaining in the canister after t seconds. c. How much " Kr remains after 2 minutes? d. After how long will the amount of "Kr remaining be reduced to 1 ug (microgram or 10* grams?
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