A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t depends on the number of births and deaths. When a birth or death occurs, the function N generally has a discontinuity as shown in the figure. (A) Where is the function N discontinuous? (B) Find lim N(t) and N (16). t→tę (C) Find lim N(t) and N (12). t→t₂ Number of rabbits t₁ t₂ t3 t4 t5 to t7 to (B) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. t→tę OA. lim N(t) = ☐ t→tą ◇ B. The limit does not exist. Find N (16). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. N (16) = ◎ B. The function is undefined. (C) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 1→12 A. lim N(t) = t→t₂ ◇ B. The limit does not exist. Find N (t2). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. A. N (12) = B. The function is undefined.

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
Section3.1: Limits
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A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t depends on the number of births and
deaths. When a birth or death occurs, the function N generally has a discontinuity as shown in the figure.
(A) Where is the function N discontinuous?
(B) Find lim N(t) and N (16).
t→tę
(C) Find lim N(t) and N (12).
t→t₂
Number of rabbits
t₁ t₂ t3 t4 t5 to t7 to
(B) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
t→tę
OA. lim N(t) = ☐
t→tą
◇ B. The limit does not exist.
Find N (16). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. N (16) = ◎
B. The function is undefined.
(C) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
1→12
A. lim N(t) =
t→t₂
◇ B. The limit does not exist.
Find N (t2). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
○ A.
A. N (12) =
B. The function is undefined.
Transcribed Image Text:A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t depends on the number of births and deaths. When a birth or death occurs, the function N generally has a discontinuity as shown in the figure. (A) Where is the function N discontinuous? (B) Find lim N(t) and N (16). t→tę (C) Find lim N(t) and N (12). t→t₂ Number of rabbits t₁ t₂ t3 t4 t5 to t7 to (B) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. t→tę OA. lim N(t) = ☐ t→tą ◇ B. The limit does not exist. Find N (16). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. N (16) = ◎ B. The function is undefined. (C) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 1→12 A. lim N(t) = t→t₂ ◇ B. The limit does not exist. Find N (t2). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. A. N (12) = B. The function is undefined.
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