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The population of ants in a colony grows at a rate proportional to the number of ants P present at time t. The initial population of ants is 300. After 7 hours it is observed that 150 ants are present in the population. Determine the population of ants after 10 hours. You must begin your solution process by writing and solving the differential equation. You may use the natural logarithm table to the right. Use the approximate value of 3 for e (exponential function). Your work must support your answer.

The population of ants in a colony grows at a rate proportional to the number of ants P present at time t. The initial population of ants is 300. After 7 hours it is observed that 150 ants are present in the population. Determine the population of ants after 10 hours. You must begin your solution process by writing and solving the differential equation. You may use the natural logarithm table to the right. Use the approximate value of 3 for e (exponential function). Your work must support your answer.

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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The population of ants in a colony grows at a rate proportional to the number of ants P present at time t. The initial population of ants is 300. After 7 hours it is observed that 150 ants are present in the population. Determine the population of ants after 10 hours. You must begin your solution process by writing and solving the differential equation. You may use the natural logarithm table to the right. Use the approximate value of 3 for e (exponential function). Your work must support your answer. Z 1 2 3 4 5 сл 6 7 8 9 10 In z 0 0.7 1.1 1.4 1.6 1.8 1.9 2.1 2.2 2.3
Transcribed Image Text:The population of ants in a colony grows at a rate proportional to the number of ants P present at time t. The initial population of ants is 300. After 7 hours it is observed that 150 ants are present in the population. Determine the population of ants after 10 hours. You must begin your solution process by writing and solving the differential equation. You may use the natural logarithm table to the right. Use the approximate value of 3 for e (exponential function). Your work must support your answer. Z 1 2 3 4 5 сл 6 7 8 9 10 In z 0 0.7 1.1 1.4 1.6 1.8 1.9 2.1 2.2 2.3
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