In the following exercises, sketch the graph of a function with the given properties. 80. lim x → − ∞ f ( x ) = 0 , lim x → − 1 − f ( x ) = ∞ , lim x → − 1 + f ( x ) = − ∞ , f ( 0 ) = − 1 , lim x → 1 − f ( x ) = − ∞ , lim x → 1 + f ( x ) = ∞ , lim x → ∞ f ( x ) = 0
In the following exercises, sketch the graph of a function with the given properties. 80. lim x → − ∞ f ( x ) = 0 , lim x → − 1 − f ( x ) = ∞ , lim x → − 1 + f ( x ) = − ∞ , f ( 0 ) = − 1 , lim x → 1 − f ( x ) = − ∞ , lim x → 1 + f ( x ) = ∞ , lim x → ∞ f ( x ) = 0
In the following exercises, sketch the graph of a function with the given properties.
80.
lim
x
→
−
∞
f
(
x
)
=
0
,
lim
x
→
−
1
−
f
(
x
)
=
∞
,
lim
x
→
−
1
+
f
(
x
)
=
−
∞
,
f
(
0
)
=
−
1
,
lim
x
→
1
−
f
(
x
)
=
−
∞
,
lim
x
→
1
+
f
(
x
)
=
∞
,
lim
x
→
∞
f
(
x
)
=
0
Ministry of Higher Education &
Scientific Research
Babylon University
College of Engineering -
Al musayab
Subject :Engineering Analysis
Time: 80 min
Date:11-12-2022
Automobile Department
2nd month exam / 1" semester (2022-2023)
Note: Answer all questions,all questions have same degree.
کورس اول
شعر 3
Q1/: Use a Power series to solve the differential equation:
y" - xy = 0
Q2/:Evaluate using Cauchy's residue theorem,
sinnz²+cosz²
dz, where C is z = 3
(z-1)(z-2)
Q3/:Evaluate
dz
(z²+4)2
Where C is the circle /z-i/-2,using Cauchy's residue theorem.
Examiner: Dr. Wisam N. Hassan
Hi can anyone help me with getting point of Symmetry for Rayleigh equation limit cycles and stability. Thqnx you
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