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→16 (C) Find lim N(t) and N (15). t→15 Number of rabbits 11 12 13 14 15 to 17 to (A) Where is the function N discontinuous? ○ A. t₂, 14, 15, 17, tɛ ○ B. ₁, 13, 16 ○ C. 11, 12, 13, 14, 15, tô, t7, to O D. There are no points of discontinuity. (B) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. t→18 O A. lim N(t) = t→tę ◇ 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. ○ 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. t→15 OA. lim N(t) = t→15 B. The limit does not exist. Find N (15). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. N (15) = OB. 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→16
(C) Find lim N(t) and N (15).
t→15
Number of rabbits
11 12 13 14 15 to 17 to
(A) Where is the function N discontinuous?
○ A. t₂, 14, 15, 17, tɛ
○ B. ₁, 13, 16
○ C. 11, 12, 13, 14, 15, tô, t7, to
O D. There are no points of discontinuity.
(B) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
t→18
O A. lim N(t) =
t→tę
◇ 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.
○ 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.
t→15
OA. lim N(t) =
t→15
B. The limit does not exist.
Find N (15). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
○ A. N (15) =
OB. 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→16 (C) Find lim N(t) and N (15). t→15 Number of rabbits 11 12 13 14 15 to 17 to (A) Where is the function N discontinuous? ○ A. t₂, 14, 15, 17, tɛ ○ B. ₁, 13, 16 ○ C. 11, 12, 13, 14, 15, tô, t7, to O D. There are no points of discontinuity. (B) Find lim N(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. t→18 O A. lim N(t) = t→tę ◇ 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. ○ 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. t→15 OA. lim N(t) = t→15 B. The limit does not exist. Find N (15). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. N (15) = OB. The function is undefined.
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