Explanation Given Information: The 25% of the population has characteristic when t = 0 and 50% of the population has characteristic when t = 4 . The hybrid selection model with a = 2 , b = 1 Formula used: Consider the genetics that used hybrid selection model is based on the differential equation. d y d t = k y ( 1 − y ) ⋅ ( a − b y ) Here, y represents the portion of the population that has a certain characteristics and t . Represents time, a , b and k are constants. Calculation: Consider the primary equation d y d t = k y ( 1 − y ) ⋅ ( a − b y ) Substitute the given values in above equation a = 2 , b = 1 d y d t = k y ( 1 − y ) ( 2 − y ) ∫ d y y ( 1 − y ) ( 2 − y ) = ∫ k d t + c ∫ 1 2 y d y + ∫ 1 ( 1 − y ) d y − 1 2 ∫ 1 ( 2 − y ) d y = ∫ k d t + c Now apply the integration of natural logarithmic, log y + log ( 1 − y ) + log 2 − y = log y ( 2 − y ) ( 1 − y ) log y ( 2 − y ) ( 1 − y ) = k t + c 1 y ( 2 − y ) ( 1 − y ) = c e 2 k t Substitute the value in above equation t = 0 , y = 0

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ISBN: 8220101426222

Author: Larson

Publisher: CENGAGE L

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Chapter 11.4, Problem 4CP

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To calculate: The percentage of the population that will have characteristic D after 10 generations if only 25% of the population has characteristic when t=0 and 50% of the population has characteristic when t=4.

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Chapter 11.4, Problem 3CP

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Chapter 11 Solutions

EBK CALCULUS: AN APPLIED APPROACH

Ch. 11.1 - Checkpoint 1 Worked-out solution available at...Ch. 11.1 - Prob. 2CP Ch. 11.1 - Prob. 3CP Ch. 11.1 - Prob. 4CP Ch. 11.1 - Prob. 1SWU Ch. 11.1 - Prob. 2SWU Ch. 11.1 - Prob. 3SWU Ch. 11.1 - Prob. 4SWU Ch. 11.1 - Prob. 5SWU Ch. 11.1 - Prob. 6SWU

Ch. 11.1 - Verifying Solutions In Exercises 112, verify the...Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Prob. 8E Ch. 11.1 - Verifying Solutions In Exercises 1-12, verify the...Ch. 11.1 - Prob. 10E Ch. 11.1 - Prob. 11E Ch. 11.1 - Prob. 12E Ch. 11.1 - Prob. 13E Ch. 11.1 - Prob. 14E Ch. 11.1 - Determining Solutions In Exercises 1316, determine...Ch. 11.1 - Prob. 16E Ch. 11.1 - Determining Solutions In Exercises 1720, determine...Ch. 11.1 - Prob. 18E Ch. 11.1 - Prob. 19E Ch. 11.1 - Prob. 20E Ch. 11.1 - Prob. 21E Ch. 11.1 - Prob. 22E Ch. 11.1 - Prob. 23E Ch. 11.1 - Prob. 24E Ch. 11.1 - Prob. 25E Ch. 11.1 - Prob. 26E Ch. 11.1 - Prob. 27E Ch. 11.1 - Prob. 28E Ch. 11.1 - Prob. 29E Ch. 11.1 - Prob. 30E Ch. 11.1 - Prob. 31E Ch. 11.1 - Prob. 32E Ch. 11.1 - Prob. 33E Ch. 11.1 - Prob. 34E Ch. 11.1 - Prob. 35E Ch. 11.1 - Prob. 36E Ch. 11.1 - Prob. 37E Ch. 11.1 - Prob. 38E Ch. 11.1 - Prob. 39E Ch. 11.1 - Investment The rate of growth of an investment is...Ch. 11.1 - Prob. 41E Ch. 11.1 - Prob. 42E Ch. 11.1 - Prob. 43E Ch. 11.1 - Prob. 44E Ch. 11.1 - Prob. 45E Ch. 11.1 - Prob. 46E Ch. 11.2 - Checkpoint 1 Worked-out solution available at...Ch. 11.2 - Prob. 2CP Ch. 11.2 - Prob. 3CP Ch. 11.2 - Prob. 4CP Ch. 11.2 - Prob. 5CP Ch. 11.2 - Prob. 6CP Ch. 11.2 - Prob. 1SWU Ch. 11.2 - Prob. 2SWU Ch. 11.2 - Prob. 3SWU Ch. 11.2 - Prob. 4SWU Ch. 11.2 - Prob. 5SWU Ch. 11.2 - Prob. 6SWU Ch. 11.2 - Prob. 7SWU Ch. 11.2 - Prob. 8SWU Ch. 11.2 - Prob. 9SWU Ch. 11.2 - Prob. 10SWU Ch. 11.2 - Prob. 1E Ch. 11.2 - Prob. 2E Ch. 11.2 - Prob. 3E Ch. 11.2 - Prob. 4E Ch. 11.2 - Prob. 5E Ch. 11.2 - Prob. 6E Ch. 11.2 - Prob. 7E Ch. 11.2 - Prob. 8E Ch. 11.2 - Prob. 9E Ch. 11.2 - Prob. 10E Ch. 11.2 - Prob. 11E Ch. 11.2 - Prob. 12E Ch. 11.2 - Prob. 13E Ch. 11.2 - Solving a Differential Equation In Exercises 7-26,...Ch. 11.2 - Prob. 15E Ch. 11.2 - Prob. 16E Ch. 11.2 - Prob. 17E Ch. 11.2 - Prob. 18E Ch. 11.2 - Prob. 19E Ch. 11.2 - Prob. 20E Ch. 11.2 - Prob. 21E Ch. 11.2 - Prob. 22E Ch. 11.2 - Prob. 23E Ch. 11.2 - Prob. 24E Ch. 11.2 - Prob. 25E Ch. 11.2 - Prob. 26E Ch. 11.2 - Prob. 27E Ch. 11.2 - Prob. 28E Ch. 11.2 - Prob. 29E Ch. 11.2 - Prob. 30E Ch. 11.2 - Prob. 31E Ch. 11.2 - Finding a Particular Solution In Exercises 31-38,...Ch. 11.2 - Prob. 33E Ch. 11.2 - Finding a Particular Solution In Exercises 31-38,...Ch. 11.2 - Prob. 35E Ch. 11.2 - Finding a Particular Solution In Exercises 31-38,...Ch. 11.2 - Prob. 37E Ch. 11.2 - Prob. 38E Ch. 11.2 - Prob. 39E Ch. 11.2 - Prob. 40E Ch. 11.2 - Prob. 41E Ch. 11.2 - Prob. 42E Ch. 11.2 - Prob. 43E Ch. 11.2 - Prob. 44E Ch. 11.2 - Radioactive Decay The rate of decomposition of...Ch. 11.2 - Radioactive Decay The rate of decomposition of...Ch. 11.2 - Solve the differential equation. 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Chemical Mixture A tank contains 20 gallons of a...Ch. 11 - Prob. 1TYS Ch. 11 - Prob. 2TYS Ch. 11 - Prob. 3TYS Ch. 11 - Prob. 4TYS Ch. 11 - Prob. 5TYS Ch. 11 - Prob. 6TYS Ch. 11 - Prob. 7TYS Ch. 11 - Prob. 8TYS Ch. 11 - Prob. 9TYS Ch. 11 - Prob. 10TYS Ch. 11 - Prob. 11TYS Ch. 11 - A lamb that weighs 10 pounds at birth gains weight...Ch. 11 - Prob. 13TYS

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The percentage of the population that will have characteristic D after 10 generations if only 25% of the population has characteristic when t = 0 and 50% of the population has characteristic when t = 4 .

Solution Summary: The author calculates the percentage of the population that has characteristic D after 10 generations based on the genetics that used the hybrid selection model.

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To calculate: The percentage of the population that will have characteristic D after 10 generations if only 25% of the population has characteristic when t=0 and 50% of the population has characteristic when t=4.

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Chapter 11 Solutions