Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 44E
In the 2010 apportionment of the U.S. House of Representatives, Missouri had a standard quota of 8.458641 and a modified quota of 8.483. How many seats were apportioned to Missouri? Explain your answer.
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Calculate these limits. If the limit is ∞ or -∞, write infinity or-infinity. If the limit does not exist, write DNE:
Hint: Remember the first thing you check when you are looking at a limit of a quotient is the limit value of the denominator.
1. If the denominator does not go to 0, you should be able to right down the answer immediately.
2. If the denominator goes to 0, but the numerator does not, you will have to check the sign (±) of the quotient, from both sides if the limit is not one-sided.
3. If both the numerator and the denominator go to 0, you have to do the algebraic trick of rationalizing.
So, group your limits into these three forms and work with them one group at a time.
(a) lim
t-pi/2
sint-√ sin 2t+14cos ² t
7
2
2
2cos
t
(b) lim
sint + sin 2t+14cos
=
∞
t-pi/2
2
2cos t
(c) lim
cost-√sin 2t+14cos² t
=
t-pi/2
2cos t
(d) lim
t→pi/2
cost+√ sin t + 14cos
2cos ² t
=
∞
(e) lim
sint-v sin
2
t + 14cos
=
0
t-pi/2
(f) lim
t-pi/2
sin t +√ sin
2sin 2 t
2
t + 14cos
t
2sin t
cost-
(g)…
Think of this sheet of paper as the plane containing the vectors a = (1,1,0) and b = (2,0,0). Sketch the parallelogram P spanned by a and b. Which diagonal of P represents the vector a--b geometrically?
Given: AABE ~ ACDE.
Prove: AC bisects BD.
Note: quadrilateral properties are not permitted in this proof.
Step
Statement
Reason
AABE ACDE
Given
2
ZDEC ZAEB
Vertical angles are congruent
try
Type of Statement
A
E
B
D
C
Chapter 4 Solutions
Excursions in Modern Mathematics (9th Edition)
Ch. 4 - The Bandana Republic is a small country consisting...Ch. 4 - The Republic of Wadiya is a small country...Ch. 4 - The Scotia Metropolitan Area Rapid Transit Service...Ch. 4 - University Hospital has five major units:...Ch. 4 - The Republic of Tropicana is a small country...Ch. 4 - Tasmania State University is made up of five...Ch. 4 - There are 435 seats in the U.S. House of...Ch. 4 - There are 435 seats in the U.S. House of...Ch. 4 - The Interplanetary Federation of Fraternia...Ch. 4 - The small island nation of Margarita is made up of...
Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Happy Rivers County consists of three towns:...Ch. 4 - Plainville Hospital has three wings A, B, and C....Ch. 4 - The small nation of Fireland is divided into four...Ch. 4 - The Republic of Galatia is divided into four...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - The small republic of Guayuru see Example 4.11...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Adamss method of the...Ch. 4 - Find the apportionment under Adamss method of the...Ch. 4 - Find the apportionment under Adamss method of the...Ch. 4 - Find the apportionment under Adamss method of the...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Round each number using the Huntington-Hill...Ch. 4 - Round each number using the Huntington-Hill...Ch. 4 - In the 2010 apportionment of the U.S. House of...Ch. 4 - In the 2010 apportionment of the U.S. House of...Ch. 4 - A small country consists of five states: A, B, C,...Ch. 4 - A small country consists of five states: A, B, C,...Ch. 4 - A small country consists of five states: A, B, C,...Ch. 4 - A small country consists of five states: A, B, C,...Ch. 4 - A country consists of six states, with the states...Ch. 4 - A country consists of six states, with the states...Ch. 4 - If the standard quota of state X is 35.41, then...Ch. 4 - If the standard quota of state Y is 78.24, then...Ch. 4 - If the standard quota of state X is 35.41, then...Ch. 4 - If the standard quota of state Y is 78.24, then...Ch. 4 - If the standard quota of state X is 35.41, then...Ch. 4 - If the standard quota of state Y is 78.24, then...Ch. 4 - At the time of the 2000 Census, Californias...Ch. 4 - At the time of the 2000 Census, Californias...Ch. 4 - This exercise refers to the apportionment of...Ch. 4 - This exercise refers to the apportionment of...Ch. 4 - Exercises 61 and 62 are based on the following...Ch. 4 - Exercises 61 and 62 are based on the following...Ch. 4 - This exercise comes in two parts. Read Part I and...Ch. 4 - This exercise comes in two parts. Read Part I and...Ch. 4 - The small island nation of Margarita consists of...Ch. 4 - Prob. 66ECh. 4 - Prob. 67ECh. 4 - Prob. 68ECh. 4 - Prob. 69ECh. 4 - Consider the problem of apportioning M seats...Ch. 4 - Prob. 71ECh. 4 - Prob. 72ECh. 4 - Lowndess Method. Exercises 73 and 74 refer to a...Ch. 4 - Prob. 74ECh. 4 - Prob. 75ECh. 4 - Explain why the Jeffersons method cannot produce...Ch. 4 - Explain why the Adamss method cannot produce a.the...Ch. 4 - Explain why the Websters method cannot produce...
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