ap-calculus-ab None Q17

ap-calculus-ab · Usa · -bc_course-and-exam-description First order differential equations (integrating factor)

The number of fish in a lake is modeled by the function $F$ that satisfies the logistic differential equation $\frac { d F } { d t } = 0.04 F \left( 1 - \frac { F } { 5000 } \right)$, where $t$ is the time in months and $F ( 0 ) = 2000$. What is $\lim _ { t \rightarrow \infty } F ( t )$?
(A) 10,000
(B) 5000
(C) 2500
(D) 2000

The number of fish in a lake is modeled by the function $F$ that satisfies the logistic differential equation $\frac { d F } { d t } = 0.04 F \left( 1 - \frac { F } { 5000 } \right)$, where $t$ is the time in months and $F ( 0 ) = 2000$. What is $\lim _ { t \rightarrow \infty } F ( t )$?\\
(A) 10,000\\
(B) 5000\\
(C) 2500\\
(D) 2000

Paper Questions

Q1 Q1 (Free-Response) Q2 Q2 (Free-Response) Q3 Q3 (Free-Response) Q4 Q4 (Free-Response) Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22