GEA The rate at which a baby bird gains weight is proportional to the difference between its adult weight and its current weight. At time t = 0, when the bird is first weighed, its weight is 20 grams. If B(t) is the weight of the bird, in grams, at timet days after it is first weighed, then db 금(100-B) dt Let y = B(t) be the solution to the differential equation above with initial condition B(0) = 20. %3D hur teacher. Is the bird gaining weight faster when it weighs 40 grams or when it weighs 70 grams? Explain your reasoning. 2. d²b 3. Find in terms of B. Use- dt2 d'b to explain why the graph of B cannot resemble the following graph. 20- 10 Tine (days)

Question
GEA
The rate at which a baby bird gains weight is proportional to the difference between its adult weight and its current
weight. At time t = 0, when the bird is first weighed, its weight is 20 grams. If B(t) is the weight of the bird, in
grams, at timet days after it is first weighed, then
db
금(100-B)
dt
Let y = B(t) be the solution to the differential equation above with initial condition B(0) = 20.
%3D
hur teacher.
Is the bird gaining weight faster when it weighs 40 grams or when it weighs 70 grams? Explain your
reasoning.
2.
d²b
3. Find in terms of B. Use-
dt2
d'b
to explain why the graph of B cannot resemble the following graph.
20-
10
Tine (days)
Expand
Transcribed Image Text

GEA The rate at which a baby bird gains weight is proportional to the difference between its adult weight and its current weight. At time t = 0, when the bird is first weighed, its weight is 20 grams. If B(t) is the weight of the bird, in grams, at timet days after it is first weighed, then db 금(100-B) dt Let y = B(t) be the solution to the differential equation above with initial condition B(0) = 20. %3D hur teacher. Is the bird gaining weight faster when it weighs 40 grams or when it weighs 70 grams? Explain your reasoning. 2. d²b 3. Find in terms of B. Use- dt2 d'b to explain why the graph of B cannot resemble the following graph. 20- 10 Tine (days)

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