For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1) a . As x → − ∞ , f x → _ _ _ _ _ . b . As x → − 3 − , f x → _ _ _ _ _ . c . As x → − 3 + , f x → _ _ _ _ _ . d . As x → ∞ , f x → _ _ _ _ _ . e . The graph is increasing over the interval s _ _ _ _ _ . f . The graph is decreasing over the interval s _ _ _ _ _ . g . The domain is _ _ _ _ _ . h . The range is _ _ _ _ _ . i . The vaertical asymptote is the line _ _ _ _ _ . j . The horizontal asymptote is the line _ _ _ _ _ .
For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1) a . As x → − ∞ , f x → _ _ _ _ _ . b . As x → − 3 − , f x → _ _ _ _ _ . c . As x → − 3 + , f x → _ _ _ _ _ . d . As x → ∞ , f x → _ _ _ _ _ . e . The graph is increasing over the interval s _ _ _ _ _ . f . The graph is decreasing over the interval s _ _ _ _ _ . g . The domain is _ _ _ _ _ . h . The range is _ _ _ _ _ . i . The vaertical asymptote is the line _ _ _ _ _ . j . The horizontal asymptote is the line _ _ _ _ _ .
Solution Summary: The author explains how to fill the blanks in the statement with the help of the following graph.
For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1)
a
. As
x
→
−
∞
,
f
x
→
_
_
_
_
_
.
b
. As
x
→
−
3
−
,
f
x
→
_
_
_
_
_
.
c
. As
x
→
−
3
+
,
f
x
→
_
_
_
_
_
.
d
. As
x
→
∞
,
f
x
→
_
_
_
_
_
.
e
. The graph is increasing over the interval
s
_
_
_
_
_
.
f
. The graph is decreasing over the interval
s
_
_
_
_
_
.
g
. The domain is
_
_
_
_
_
.
h
. The range is
_
_
_
_
_
.
i
. The vaertical asymptote is the line
_
_
_
_
_
.
j
. The horizontal asymptote is the line
_
_
_
_
_
.
Write the given third order linear equation as an equivalent system of first order equations with initial values.
Use
Y1 = Y, Y2 = y', and y3 = y".
-
-
√ (3t¹ + 3 − t³)y" — y" + (3t² + 3)y' + (3t — 3t¹) y = 1 − 3t²
\y(3) = 1, y′(3) = −2, y″(3) = −3
(8) - (888) -
with initial values
Y
=
If you don't get this in 3 tries, you can get a hint.
Question 2
1 pts
Let A be the value of the triple integral
SSS.
(x³ y² z) dV where D is the region
D
bounded by the planes 3z + 5y = 15, 4z — 5y = 20, x = 0, x = 1, and z = 0.
Then the value of sin(3A) is
-0.003
0.496
-0.408
-0.420
0.384
-0.162
0.367
0.364
Question 1
Let A be the value of the triple integral SSS₂ (x + 22)
=
1 pts
dV where D is the
region in
0, y = 2, y = 2x, z = 0, and
the first octant bounded by the planes x
z = 1 + 2x + y. Then the value of cos(A/4) is
-0.411
0.709
0.067
-0.841
0.578
-0.913
-0.908
-0.120
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