CALCULUS EARLY TRANSCENDENTALS W/ACHIEVE
4th Edition
ISBN: 9781319057664
Author: Rogawski
Publisher: MAC HIGHER
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Question
Chapter A, Problem 19E
To determine
Whether the converse of the given statement is false.
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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = √16x and y
V =
Draw a diagram to explain your method.
15
10
5
y
15
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5
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=
Find V by slicing.
16
X
О
-15 -10
-5
5
10
15
О
-15
-10
-5
5
10
15
15
10
y
15
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5
y
x
-15
-10
-5
5
10
-15 -10
-5
5
10
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10
X
15
a) let SSK : A->R be function and let
c be acluster Point of A if lim S, (x) exists
for each i=1, 2, .-,k then
K
i) lim Si (x)= lim fi (x)
X->C 1=1
11), im π fi (x) = lim fi (x)
YC il
i=1
1) let f(x) = ) x² Sin (1/x), xe Q/{o}
f(x) = {
x² cos(\/x), x&Q
Show that lim f(x)= 0
X = 0
c) Give an example of aset ASR, a cluster Point C
of Aand two fun. & 9: AR st lim f(x)9(x) exsis
bat limfex) does not exist
X-C
2. [-/4 Points]
DETAILS
MY NOTES
SESSCALCET2 7.3.002.
Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a = 6 and b = 2.)
ASK YOUR TEACHER
0
y = a sin(bx²)
Sketch a typical approximating shell.
y
6
4
2
x
π/b
y
2
1
x
0.5
1.0
1.5
0.2
0.4
0.6
0.8
1.0
-2
-1
-4
Chapter A Solutions
CALCULUS EARLY TRANSCENDENTALS W/ACHIEVE
Ch. A - Prob. 1PQCh. A - Prob. 2PQCh. A - Prob. 3PQCh. A - Prob. 4PQCh. A - Prob. 1ECh. A - Prob. 2ECh. A - Prob. 3ECh. A - Prob. 4ECh. A - Prob. 5ECh. A - Prob. 6E
Ch. A - Prob. 7ECh. A - Prob. 8ECh. A - Prob. 9ECh. A - Prob. 10ECh. A - Prob. 11ECh. A - Prob. 12ECh. A - Prob. 13ECh. A - Prob. 14ECh. A - Prob. 15ECh. A - Prob. 16ECh. A - Prob. 17ECh. A - Prob. 18ECh. A - Prob. 19ECh. A - Prob. 20ECh. A - Prob. 21ECh. A - Prob. 22ECh. A - Prob. 23ECh. A - Prob. 24ECh. A - Prob. 25ECh. A - Prob. 26ECh. A - Prob. 27ECh. A - Prob. 28ECh. A - Prob. 29ECh. A - Prob. 30ECh. A - Prob. 31ECh. A - Prob. 32ECh. A - Prob. 33ECh. A - Prob. 34ECh. A - Prob. 35ECh. A - Prob. 36ECh. A - Prob. 37ECh. A - Prob. 38ECh. A - Prob. 39ECh. A - Prob. 40ECh. A - Prob. 41ECh. A - Prob. 42E
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