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A population of insects currently numbers 22,900 and is increasing at a rate of R(t)- 1215e0.13 insects per week. If the survival function for the insects is S(t)e-0.2t where t is measured in weeks, how many insects are there after 13 weeks? (Round your answer to the nearest integer.) insects Additional Materials eBook

A population of insects currently numbers 22,900 and is increasing at a rate of R(t)- 1215e0.13 insects per week. If the survival function for the insects is S(t)e-0.2t where t is measured in weeks, how many insects are there after 13 weeks? (Round your answer to the nearest integer.) insects Additional Materials eBook

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.EA: Extended Application A Model For Drugs Administered Intravenously
Problem 3EA
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5. A population of insects currently numbers 22,900 and is increasing at a rate of R(t)- 1215e0.13r insects per week. If the survival function for the insects is S(t)e-0.2t where t is measured in weeks, how many insects are there after 13 weeks? (Round your answer to the nearest integer.) insects Additional Materials i eBook An animal population currently has 7500 members and is reproducing at a rate of R(t)= 2280 + 70t members per year. The proportion of members that survive after t years is given by S(t)=1/(t+1).. (a) How many of the original members survive three years? animals (b) How many new members are added during the next three years? animals (c) Explain why the animal population three years from now is not the same as the sum of your answers from parts (a) and (b). Some of the the new animals reproduced. All of the original animals survive. O All of the new animals survive. O Not all of the original animals survive. Not all of the new animals survive. Additional Materials eBook eBook TER A drug is administered intravenously to a patient at the rate of 13 mg/h. The patient's body eliminates the drug over time so that after t hours the proportion that remains is e-0.23t. If the patient currently has 60 mg of the drug in her bloodstream, how much of the drug is present eight hours from now? (Round your answer to one decimal place.) mg Additional Materials
Transcribed Image Text:5. A population of insects currently numbers 22,900 and is increasing at a rate of R(t)- 1215e0.13r insects per week. If the survival function for the insects is S(t)e-0.2t where t is measured in weeks, how many insects are there after 13 weeks? (Round your answer to the nearest integer.) insects Additional Materials i eBook An animal population currently has 7500 members and is reproducing at a rate of R(t)= 2280 + 70t members per year. The proportion of members that survive after t years is given by S(t)=1/(t+1).. (a) How many of the original members survive three years? animals (b) How many new members are added during the next three years? animals (c) Explain why the animal population three years from now is not the same as the sum of your answers from parts (a) and (b). Some of the the new animals reproduced. All of the original animals survive. O All of the new animals survive. O Not all of the original animals survive. Not all of the new animals survive. Additional Materials eBook eBook TER A drug is administered intravenously to a patient at the rate of 13 mg/h. The patient's body eliminates the drug over time so that after t hours the proportion that remains is e-0.23t. If the patient currently has 60 mg of the drug in her bloodstream, how much of the drug is present eight hours from now? (Round your answer to one decimal place.) mg Additional Materials
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