As of January 2016, Box Office Mojo reported that, the top 10 grossing movies of all of the time were listed in the table below. Define the following sets: M=set of movies that earned more than $ 1.5 billion L=set of movies that earned less than $ 2 billion B=set of movies made before 2015 Movie Year Gross ($ billion) a. Avatar 2009 2.8 b. Titanic 1997 2.2 c. Jurassic World 2015 1.7 d. The Avengers 2012 1.5 e. Furious 7 2015 1.5 f. Age of Ultron 2015 1.4 g. Deathly Hollows 2 2011 1.3 h. Frozen 2013 1.3 i. Iron Man 2013 1.2 h. Minions 2015 1.1 In Exercises 65 – 70 , describe each set in words, and then list its elements as a set. For example B = a , b , d , g , h , i . L - M ∪ B
As of January 2016, Box Office Mojo reported that, the top 10 grossing movies of all of the time were listed in the table below. Define the following sets: M=set of movies that earned more than $ 1.5 billion L=set of movies that earned less than $ 2 billion B=set of movies made before 2015 Movie Year Gross ($ billion) a. Avatar 2009 2.8 b. Titanic 1997 2.2 c. Jurassic World 2015 1.7 d. The Avengers 2012 1.5 e. Furious 7 2015 1.5 f. Age of Ultron 2015 1.4 g. Deathly Hollows 2 2011 1.3 h. Frozen 2013 1.3 i. Iron Man 2013 1.2 h. Minions 2015 1.1 In Exercises 65 – 70 , describe each set in words, and then list its elements as a set. For example B = a , b , d , g , h , i . L - M ∪ B
Solution Summary: The author describes the set L-(Mcup B) in words and lists the elements.
As of January 2016, Box Office Mojo reported that, the top 10 grossing movies of all of the time were listed in the table below. Define the following sets:
M=set of movies that earned more than
$
1.5
billion
L=set of movies that earned less than
$
2
billion
B=set of movies made before 2015
Movie
Year
Gross ($ billion)
a. Avatar
2009
2.8
b. Titanic
1997
2.2
c. Jurassic World
2015
1.7
d. The Avengers
2012
1.5
e. Furious 7
2015
1.5
f. Age of Ultron
2015
1.4
g. Deathly Hollows 2
2011
1.3
h. Frozen
2013
1.3
i. Iron Man
2013
1.2
h. Minions
2015
1.1
In Exercises 65 – 70, describe each set in words, and then list its elements as a set. For example
B
=
a
,
b
,
d
,
g
,
h
,
i
.
Q2) A: Find the region where ODEs has no limit cycle:
x = y + x³
y=x+y+y³
6
Q3)A: Given H(x,y)=x2-x+ y²as a first integral of an ODEs, find this ODES
corresponding to H(x,y) and show the phase portrait by using Hartman
theorem and by drawing graph of H(x,y)-e. Discuss the stability of
critical points of the corresponding ODEs.
Q/ Write Example
is First integral but not
Conservation system.
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