7. Consider the following graph of f(z) with domain (0.2] and answer parts (a) and (b). (a) Graph a curve g(x) such that g(x) = f(x) on the interval [0,2], is even, and has domain (-2,2). Make sure to label values on your r-y axes. (b) Graph a curve h(z) on a new set of axes such that A(z) = f(z) on the interval [0, 2], is odd, and has domain [-2,2]. Make sure to label values on your z-y axes.
7. Consider the following graph of f(z) with domain (0.2] and answer parts (a) and (b). (a) Graph a curve g(x) such that g(x) = f(x) on the interval [0,2], is even, and has domain (-2,2). Make sure to label values on your r-y axes. (b) Graph a curve h(z) on a new set of axes such that A(z) = f(z) on the interval [0, 2], is odd, and has domain [-2,2]. Make sure to label values on your z-y axes.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Help on 7 a and b please.
![11:51
APPM1235_Written...
(a) f(x) = 5x²+2x¹-1
(b) f(x)=√10-2²
2²+1
(c) f(x)=√1-1
7. Consider the following graph of f(z) with domain [0, 2] and answer parts (a) and (b).
(a) Graph a curve g(x) such that g(x) = f(x) on the interval [0, 2], is even, and has domain (-2,2]. Make sure
to label values on your z-y axes.
(b) Graph a curve h(z) on a new set of axes such that h(x) = f(x) on the interval [0, 2], is odd, and has domain
[-2,2). Make sure to label values on your z-y axes.
CONTINUED ON NEXT PAGE
8. The virus reproduction number, Ro, for an infectious disease is defined as the average number of people who will
be infected by a single contagious individual. Suppose a certain virus starts spreading in a human population at
a start time of t = 0. It is modeled that R, will have a constant value of 2.6 for the first three months, then
decreases linearly from 2.6 to an R, value of 1.4 over three months, and remain at a constant value of 1.4 for six
months.
(a) Sketch a graph of this function over 12 months.
(b) Write down the domain and range of this function in interval notation.
(c) Is the function odd, even, or neither?
(d) Write down a piecewise-defined function for R
9. This question is part of your Preview Assignment for Section 2.7. First watch/read Section 2.7 Preview Resources
in Canvas then answer the following question:
(a) Given f(x)=2r+2 and g(x)=x²-1 Find the following:
i. (f-g)(x) and its domain
ii. (gof)(x) and its domain
Đ
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Transcribed Image Text:11:51
APPM1235_Written...
(a) f(x) = 5x²+2x¹-1
(b) f(x)=√10-2²
2²+1
(c) f(x)=√1-1
7. Consider the following graph of f(z) with domain [0, 2] and answer parts (a) and (b).
(a) Graph a curve g(x) such that g(x) = f(x) on the interval [0, 2], is even, and has domain (-2,2]. Make sure
to label values on your z-y axes.
(b) Graph a curve h(z) on a new set of axes such that h(x) = f(x) on the interval [0, 2], is odd, and has domain
[-2,2). Make sure to label values on your z-y axes.
CONTINUED ON NEXT PAGE
8. The virus reproduction number, Ro, for an infectious disease is defined as the average number of people who will
be infected by a single contagious individual. Suppose a certain virus starts spreading in a human population at
a start time of t = 0. It is modeled that R, will have a constant value of 2.6 for the first three months, then
decreases linearly from 2.6 to an R, value of 1.4 over three months, and remain at a constant value of 1.4 for six
months.
(a) Sketch a graph of this function over 12 months.
(b) Write down the domain and range of this function in interval notation.
(c) Is the function odd, even, or neither?
(d) Write down a piecewise-defined function for R
9. This question is part of your Preview Assignment for Section 2.7. First watch/read Section 2.7 Preview Resources
in Canvas then answer the following question:
(a) Given f(x)=2r+2 and g(x)=x²-1 Find the following:
i. (f-g)(x) and its domain
ii. (gof)(x) and its domain
Đ
Dashboard
11881
Calendar
12
To Do
D
Notifications
Inbox
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