(e) When will the insect population double? 2. Growth of Bacteria The number N of bacteria present in a culture at timet (in hours) obeys the model N (t) = 1000e0.011 (a) Determine the number of bacteria at t = 0 hours. (b) What is the growth rate of the bacteria? (c) What is the population after 4 hours? (d) When will the number of bacteria reach (e) When will the number of bacteria double? Decay Strontium-90 is a radioactive material

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Number 2 part e
4.8 Assess Your Understanding
Applications and Extensions
1. Growth of an Insect Population The size P of a certain insect
population at timet (in days) obeys the model P (t) = 500e0.021
(a) Determine the number of insects at t = 0 days.
2.0079 = 1 +
1.0079= 0.0316e
31.8956= 0.05811
0.0581r
in (31.8956)
t = 59.6 years
It will take approximately 59.6 years
products remaining to reach 50%.
(d) The numerator of 100.3952 is reason.
poss
wood products remaining that is
Now Work PROBLEM 27
ani(b) What is the growth rate of the insect population?
(c) What is the population after 10 days?
(d) When will the insect population reach 800?
(e) When will the insect population double?
mon
2. Growth of Bacteria The number N of bacteria present in a
culture at time t (in hours) obeys the model N(t) = 1000e0.01
coin (a) Determine the number of bacteria at t = 0 hours.
b(b) What is the growth rate of the bacteria?
(c) What is the population after 4 hours?
(d) When will the number of bacteria reach
(e) When will the number of bacteria double?
-
9******
3. Radioactive Decay Strontium-90 is a radioactive material
that decays according to the function A (t) = Age -0.02441
where Ao is the initial amount present and A is the amount
present at t
sample of 5
(a) What is
(b) How m
(c) When w
(d) What is
4. Radioactiv
decays acc-
Ao is the in
at time t (i
100 grams
(a) What
(b) How m
(c) When
(d) What
5. Growth o
colony of
Transcribed Image Text:4.8 Assess Your Understanding Applications and Extensions 1. Growth of an Insect Population The size P of a certain insect population at timet (in days) obeys the model P (t) = 500e0.021 (a) Determine the number of insects at t = 0 days. 2.0079 = 1 + 1.0079= 0.0316e 31.8956= 0.05811 0.0581r in (31.8956) t = 59.6 years It will take approximately 59.6 years products remaining to reach 50%. (d) The numerator of 100.3952 is reason. poss wood products remaining that is Now Work PROBLEM 27 ani(b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 800? (e) When will the insect population double? mon 2. Growth of Bacteria The number N of bacteria present in a culture at time t (in hours) obeys the model N(t) = 1000e0.01 coin (a) Determine the number of bacteria at t = 0 hours. b(b) What is the growth rate of the bacteria? (c) What is the population after 4 hours? (d) When will the number of bacteria reach (e) When will the number of bacteria double? - 9****** 3. Radioactive Decay Strontium-90 is a radioactive material that decays according to the function A (t) = Age -0.02441 where Ao is the initial amount present and A is the amount present at t sample of 5 (a) What is (b) How m (c) When w (d) What is 4. Radioactiv decays acc- Ao is the in at time t (i 100 grams (a) What (b) How m (c) When (d) What 5. Growth o colony of
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