1+r Linear Quadratic growth rate - Reverse S - Exponential K por sze The above figure depicts several models of population growth where the population size, n as defined by the recursion equation: n4+1 = n4R(n) initial cond.: no A. Identify the length r on the diagram. What does it mean? [Hint: Evaluate the recursion equation at no = 1] n. = I Rn) r means n, decreused (++171 ='U the value of 1. by h, =Itr B. A value K is labelled on the horizontal axis. Interpret what happens to all the functions when n = K. The lines intergects, C. The exponential curve has the form: R(n) = aen (2) What is the sign of b? What is the value of a? [Hint: calculate the y-intercept] bo) Ren) = ae | = ae b is negative. Rn) = ebcosa Rn) = e° 3 3 R(n)
1+r Linear Quadratic growth rate - Reverse S - Exponential K por sze The above figure depicts several models of population growth where the population size, n as defined by the recursion equation: n4+1 = n4R(n) initial cond.: no A. Identify the length r on the diagram. What does it mean? [Hint: Evaluate the recursion equation at no = 1] n. = I Rn) r means n, decreused (++171 ='U the value of 1. by h, =Itr B. A value K is labelled on the horizontal axis. Interpret what happens to all the functions when n = K. The lines intergects, C. The exponential curve has the form: R(n) = aen (2) What is the sign of b? What is the value of a? [Hint: calculate the y-intercept] bo) Ren) = ae | = ae b is negative. Rn) = ebcosa Rn) = e° 3 3 R(n)
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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Could someone please check if I'm doing these right? Thank you so much.
![Student Name (#): Hui Zhi 3014
IQ2
report all answers to 2 significant digits
Problem 2: (adapted from Otto and Day 2007)
1+r
1
Linear
Quadratic
Reverse S
growth
Exponential
rate
K
por sze
The above figure depicts several models of population growth where the population size, n as
defined by the recursion equation:
Nt+1
ntR(n) initial cond.: no
(1)
A. Identify the length r on the diagram. What does it mean? [Hint: Evaluate the recursion
equation at no = 1 ]
n, = | RCn)
the value of
%3D
r
r means
n. decreused by
(+171 ='U
h,altr
B. A value K is labelled on the horizontal axis. Interpret what happens to all the functions when
n = K.
The lines intergects,
C. The exponential curve has the form:
R(n) = aebn
(2)
What is the sign of b? What is the value of a? [Hint: calculate the y-intercept]
h=0
blo)
Ren) = ae
bc0)
|= ae
b is negative.
%3D
Rn) = pbcosa
Rin) =e
+ =a
%3D
= a
| |
3
(u))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6dbe6bd9-2ba9-4f0f-9712-f1e67a14c2d4%2F9cc794f8-d475-44bf-bf04-3246a6a71e36%2Flh0qlg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Student Name (#): Hui Zhi 3014
IQ2
report all answers to 2 significant digits
Problem 2: (adapted from Otto and Day 2007)
1+r
1
Linear
Quadratic
Reverse S
growth
Exponential
rate
K
por sze
The above figure depicts several models of population growth where the population size, n as
defined by the recursion equation:
Nt+1
ntR(n) initial cond.: no
(1)
A. Identify the length r on the diagram. What does it mean? [Hint: Evaluate the recursion
equation at no = 1 ]
n, = | RCn)
the value of
%3D
r
r means
n. decreused by
(+171 ='U
h,altr
B. A value K is labelled on the horizontal axis. Interpret what happens to all the functions when
n = K.
The lines intergects,
C. The exponential curve has the form:
R(n) = aebn
(2)
What is the sign of b? What is the value of a? [Hint: calculate the y-intercept]
h=0
blo)
Ren) = ae
bc0)
|= ae
b is negative.
%3D
Rn) = pbcosa
Rin) =e
+ =a
%3D
= a
| |
3
(u))
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