Sketch the graph of each function. List the coordinates of any extrema or points of inflection. State where the function is increasing or decreasing and where its graph is concave up or concave down. f ( x ) = x 3 − 6 x 2 − 135 x
Sketch the graph of each function. List the coordinates of any extrema or points of inflection. State where the function is increasing or decreasing and where its graph is concave up or concave down. f ( x ) = x 3 − 6 x 2 − 135 x
Solution Summary: The author calculates the relative extrema or point of inflection and then lists the co-ordinates. They sketch the graph for each function, determine whther function is increasing or decreasing and concave up or down in the
Sketch the graph of each function. List the coordinates of any extrema or points of inflection. State where the function is increasing or decreasing and where its graph is concave up or concave down.
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
10
5
y
=
Find V by slicing.
16
X
О
-15 -10
-5
5
10
15
О
-15
-10
-5
5
10
15
15
10
y
15
10
5
y
x
-15
-10
-5
5
10
-15 -10
-5
5
10
15
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 2 Solutions
Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)
University Calculus: Early Transcendentals (4th Edition)
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