Suppose that in a certain biology lab experiment, the number of bacteria is related to the temperature T of the environment by the function N(T) = -27² + 2507 - 4900 (40 ≤ T ≤ 90). Here, N(T) represents the number of bacteria present when the temperature is 7 °F. Also, suppose that t hr after the experiment begins, the temperature is given by T(t) = 10t + 40 (0 ≤t≤ 5). (a) Compute N[T(t)]. N[T(t)] = (b) How many bacteria are present when t=0 hr? When t = 2 hr? When t = 5 hr? t = 0 hr bacteria bacteria t = 2 hr t = 5 hr bacteria
Suppose that in a certain biology lab experiment, the number of bacteria is related to the temperature T of the environment by the function N(T) = -27² + 2507 - 4900 (40 ≤ T ≤ 90). Here, N(T) represents the number of bacteria present when the temperature is 7 °F. Also, suppose that t hr after the experiment begins, the temperature is given by T(t) = 10t + 40 (0 ≤t≤ 5). (a) Compute N[T(t)]. N[T(t)] = (b) How many bacteria are present when t=0 hr? When t = 2 hr? When t = 5 hr? t = 0 hr bacteria bacteria t = 2 hr t = 5 hr bacteria
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Suppose that in a certain biology lab experiment, the number of bacteria is related to the temperature 7 of the environment by the function
N(T) = -27² + 250T - 4900 (40 ≤ T ≤ 90).
Here, N(T) represents the number of bacteria present when the temperature is T °F. Also, suppose that t hr after the experiment begins, the temperature is given by
T(t) = 10t + 40 (0 ≤ t ≤ 5).
(a) Compute N[T(t)].
N[T(t)] =
(b) How many bacteria are present when t = 0 hr? When t = 2 hr? When t = 5 hr?
t = 0 hr
bacteria
bacteria
t = 2 hr
t = 5 hr
bacteria](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4a6d887-1d2d-4d6a-beb8-6f85b7a687ee%2Fc4e5ecdd-112b-43b8-bf8f-2979cfd8151a%2Fxmpn3bwc_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that in a certain biology lab experiment, the number of bacteria is related to the temperature 7 of the environment by the function
N(T) = -27² + 250T - 4900 (40 ≤ T ≤ 90).
Here, N(T) represents the number of bacteria present when the temperature is T °F. Also, suppose that t hr after the experiment begins, the temperature is given by
T(t) = 10t + 40 (0 ≤ t ≤ 5).
(a) Compute N[T(t)].
N[T(t)] =
(b) How many bacteria are present when t = 0 hr? When t = 2 hr? When t = 5 hr?
t = 0 hr
bacteria
bacteria
t = 2 hr
t = 5 hr
bacteria
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