Changing the order of integration Use another order of integration to evaluate
∫
1
4
∫
z
4
z
∫
0
π
2
sin
y
z
x
3
/
2
d
y
d
x
d
z
.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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
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
Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel to the slant edge of the cone?
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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