a conservation group releases 100 toads into a wetlands. after observing the toads for a number of years the estimate number of toads follows the equation p(t)=1000/1+9e^-0.165t, where t is the number of years since the release. a) how many toads are there after 5 years? b) when will the number of toads be 650? c) how many toads will be in the wetlands when their numbers are increasing most rapidly? d) what is the carrying capacity for the number of toads in this wetland? e)sketch a graph of the function. label your axis.
a conservation group releases 100 toads into a wetlands. after observing the toads for a number of years the estimate number of toads follows the equation p(t)=1000/1+9e^-0.165t, where t is the number of years since the release. a) how many toads are there after 5 years? b) when will the number of toads be 650? c) how many toads will be in the wetlands when their numbers are increasing most rapidly? d) what is the carrying capacity for the number of toads in this wetland? e)sketch a graph of the function. label your axis.
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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a conservation group releases 100 toads into a wetlands. after observing the toads for a number of years the estimate number of toads follows the equation p(t)=1000/1+9e^-0.165t, where t is the number of years since the release.
a) how many toads are there after 5 years?
b) when will the number of toads be 650?
c) how many toads will be in the wetlands when their numbers are increasing most rapidly?
d) what is the carrying capacity for the number of toads in this wetland?
e)sketch a graph of the function. label your axis.
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