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Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 13E
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Plot the function and indicate its domain and range

see handout box question #2

Homework Assignments – Math 122-01/02 – Spring 2021
Textbook: Calder & Calder, Technical Mathematics with Calculus, Gth Edition, Wiley, Inc.
( ISBN-13: 978 -- 0 – 470 – 46472 - 4)
Assignment 1
Due date : Friday, January 29
Section 5.1, Page 159: #1-4, 10, 11, 14.
Section 5.2, Page 163: Find the slope and y -intercept, and then plot the line in problems: #2,4.
Find vertex, axis of symmetry, focus, focal width, and then plot the parabola in:
#6, 8. Refer to http://mypages.iit.edu/~maslanka/Parabola&Quadratics.pdf
for more details on parabolas.
Section 4.1, Page 143: #2, 3, 7, 8;
Section 4.2, Page 151: #3, 4, 6, 13, 14, 15, 29, 30, 32, 34;
Required Additional Exercises
#1 -5 (below).
Instructions
In problems 1-3, plot the function and indicate its domain and range.
Vx if 0<x<2
1
if 0<x<2
1. f(x)= .
2. f(x)=
3. f(x)=
-for all x 0.
2
1+x if 2< x< 5
3
if 2<x<5
4. Determine the value of f[f(x)] for the function f in
problem 3 above.
В
5. Use the slopes of the slanted sides of AABC to find the
exact coordinates of the inscribed square DEFG
given that A =(0,0), B=(2,4) and C= (5,0).
(t,a) = E
F = (t+ a, a)
Hint: Note that (1) mAB
(2) mBc
mAE
Use (1) and (2) to determine the values of a and t
and the vertices of the square.
D
G
(t,0)
(i +a,0)
Transcribed Image Text:Homework Assignments – Math 122-01/02 – Spring 2021 Textbook: Calder & Calder, Technical Mathematics with Calculus, Gth Edition, Wiley, Inc. ( ISBN-13: 978 -- 0 – 470 – 46472 - 4) Assignment 1 Due date : Friday, January 29 Section 5.1, Page 159: #1-4, 10, 11, 14. Section 5.2, Page 163: Find the slope and y -intercept, and then plot the line in problems: #2,4. Find vertex, axis of symmetry, focus, focal width, and then plot the parabola in: #6, 8. Refer to http://mypages.iit.edu/~maslanka/Parabola&Quadratics.pdf for more details on parabolas. Section 4.1, Page 143: #2, 3, 7, 8; Section 4.2, Page 151: #3, 4, 6, 13, 14, 15, 29, 30, 32, 34; Required Additional Exercises #1 -5 (below). Instructions In problems 1-3, plot the function and indicate its domain and range. Vx if 0<x<2 1 if 0<x<2 1. f(x)= . 2. f(x)= 3. f(x)= -for all x 0. 2 1+x if 2< x< 5 3 if 2<x<5 4. Determine the value of f[f(x)] for the function f in problem 3 above. В 5. Use the slopes of the slanted sides of AABC to find the exact coordinates of the inscribed square DEFG given that A =(0,0), B=(2,4) and C= (5,0). (t,a) = E F = (t+ a, a) Hint: Note that (1) mAB (2) mBc mAE Use (1) and (2) to determine the values of a and t and the vertices of the square. D G (t,0) (i +a,0)
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