Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Chrome File Edit View History Bookmarks Profiles Tab Window Help ● C . Content The model is a function of time t A(t) is the amount we have after time t • P is the initial amount, because for t = 0, notice how A(0) = Peºt = Peº = P •r is the growth or decay rate. It is positive for growth and negative for decay X co Unit 2: Section 1.6 Natural Log X co Unit 2: Section 1.5 Exponentia X edfinity.com/assessments/63e179033216d4007894d84e?start=true Growth and decay problems can deal with money (interest compounded continuously), bacteria growth, radioactive decay, population growth etc. So A(t) can represent any of these depending on the problem. The growth of a certain bacteria population can be modeled by the function A(t) = 350e0.0712t where A(t) is the number of bacteria and t represents the time in minutes. a. What is the initial number of bacteria? b. What is the number of bacteria after 10 minutes? Practice 59.323 c. How long will it take for the number of bacteria to double? 3 decimal places.) (round to the nearest whole number of bacteria.) 51% Je MacBook Pro tv Mon 5:54 PM (round to the nearest whole number of bacteria.) W A Update (your answer must be accurate to at least C O
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Transcribed Image Text:Chrome File Edit View History Bookmarks Profiles Tab Window Help ● C . Content The model is a function of time t A(t) is the amount we have after time t • P is the initial amount, because for t = 0, notice how A(0) = Peºt = Peº = P •r is the growth or decay rate. It is positive for growth and negative for decay X co Unit 2: Section 1.6 Natural Log X co Unit 2: Section 1.5 Exponentia X edfinity.com/assessments/63e179033216d4007894d84e?start=true Growth and decay problems can deal with money (interest compounded continuously), bacteria growth, radioactive decay, population growth etc. So A(t) can represent any of these depending on the problem. The growth of a certain bacteria population can be modeled by the function A(t) = 350e0.0712t where A(t) is the number of bacteria and t represents the time in minutes. a. What is the initial number of bacteria? b. What is the number of bacteria after 10 minutes? Practice 59.323 c. How long will it take for the number of bacteria to double? 3 decimal places.) (round to the nearest whole number of bacteria.) 51% Je MacBook Pro tv Mon 5:54 PM (round to the nearest whole number of bacteria.) W A Update (your answer must be accurate to at least C O
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