DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE UNIVERSITI TEKNOLOGI MALAYSIA SSCE 1993 Answer all questions. SEMESTER 1 2017/2018 1. By changing the order of integration, evaluate Le 2. Use polar coordinates to evaluate 3. Evaluate 9-22 “” Test 2(15%) Time: 1 hour 20 min. [5 marks] 2 dy dx. [5 marks] G where G is a tetrahedron in the first octant bounded by the plane x+3y+2=6. [6 marks] 4. Find the volume of the solid bounded by the surfaces r²+ y² = 2y, =√√²+ y² and the plane z = 0. 5. Use spherical coordinates to evaluate 16-22 [7 marks] 1 x²+ y²+2² dz dy dr. [7 marks] DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE UNIVERSITI TEKNOLOGI MALAYSIA SSCE 1993 Answer all questions. SEMESTER 1 2017/2018 1. By changing the order of integration, evaluate Le 2. Use polar coordinates to evaluate 3. Evaluate 9-22 “” Test 2(15%) Time: 1 hour 20 min. [5 marks] 2 dy dx. [5 marks] G where G is a tetrahedron in the first octant bounded by the plane x+3y+2=6. [6 marks] 4. Find the volume of the solid bounded by the surfaces r²+ y² = 2y, =√√²+ y² and the plane z = 0. 5. Use spherical coordinates to evaluate 16-22 [7 marks] 1 x²+ y²+2² dz dy dr. [7 marks]
DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE UNIVERSITI TEKNOLOGI MALAYSIA SSCE 1993 Answer all questions. SEMESTER 1 2017/2018 1. By changing the order of integration, evaluate Le 2. Use polar coordinates to evaluate 3. Evaluate 9-22 “” Test 2(15%) Time: 1 hour 20 min. [5 marks] 2 dy dx. [5 marks] G where G is a tetrahedron in the first octant bounded by the plane x+3y+2=6. [6 marks] 4. Find the volume of the solid bounded by the surfaces r²+ y² = 2y, =√√²+ y² and the plane z = 0. 5. Use spherical coordinates to evaluate 16-22 [7 marks] 1 x²+ y²+2² dz dy dr. [7 marks] DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE UNIVERSITI TEKNOLOGI MALAYSIA SSCE 1993 Answer all questions. SEMESTER 1 2017/2018 1. By changing the order of integration, evaluate Le 2. Use polar coordinates to evaluate 3. Evaluate 9-22 “” Test 2(15%) Time: 1 hour 20 min. [5 marks] 2 dy dx. [5 marks] G where G is a tetrahedron in the first octant bounded by the plane x+3y+2=6. [6 marks] 4. Find the volume of the solid bounded by the surfaces r²+ y² = 2y, =√√²+ y² and the plane z = 0. 5. Use spherical coordinates to evaluate 16-22 [7 marks] 1 x²+ y²+2² dz dy dr. [7 marks]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 63E
Related questions
Question
Solve this please
![DEPARTMENT OF MATHEMATICAL SCIENCES,
FACULTY OF SCIENCE
UNIVERSITI TEKNOLOGI MALAYSIA
SSCE 1993
Answer all questions.
SEMESTER 1 2017/2018
1. By changing the order of integration, evaluate
Le
2. Use polar coordinates to evaluate
3. Evaluate
9-22
“”
Test 2(15%)
Time: 1 hour 20 min.
[5 marks]
2
dy dx.
[5 marks]
G
where G is a tetrahedron in the first octant bounded by the plane
x+3y+2=6.
[6 marks]
4. Find the volume of the solid bounded by the surfaces r²+ y² = 2y,
=√√²+ y² and the plane z = 0.
5. Use spherical coordinates to evaluate
16-22
[7 marks]
1
x²+ y²+2² dz dy dr.
[7 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a5f227a-b726-4149-a593-72d219317c3d%2Fbb506c75-1d56-49cb-ba02-cd3abd279b40%2Ftcupjom_processed.jpeg&w=3840&q=75)
Transcribed Image Text:DEPARTMENT OF MATHEMATICAL SCIENCES,
FACULTY OF SCIENCE
UNIVERSITI TEKNOLOGI MALAYSIA
SSCE 1993
Answer all questions.
SEMESTER 1 2017/2018
1. By changing the order of integration, evaluate
Le
2. Use polar coordinates to evaluate
3. Evaluate
9-22
“”
Test 2(15%)
Time: 1 hour 20 min.
[5 marks]
2
dy dx.
[5 marks]
G
where G is a tetrahedron in the first octant bounded by the plane
x+3y+2=6.
[6 marks]
4. Find the volume of the solid bounded by the surfaces r²+ y² = 2y,
=√√²+ y² and the plane z = 0.
5. Use spherical coordinates to evaluate
16-22
[7 marks]
1
x²+ y²+2² dz dy dr.
[7 marks]
![DEPARTMENT OF MATHEMATICAL SCIENCES,
FACULTY OF SCIENCE
UNIVERSITI TEKNOLOGI MALAYSIA
SSCE 1993
Answer all questions.
SEMESTER 1 2017/2018
1. By changing the order of integration, evaluate
Le
2. Use polar coordinates to evaluate
3. Evaluate
9-22
“”
Test 2(15%)
Time: 1 hour 20 min.
[5 marks]
2
dy dx.
[5 marks]
G
where G is a tetrahedron in the first octant bounded by the plane
x+3y+2=6.
[6 marks]
4. Find the volume of the solid bounded by the surfaces r²+ y² = 2y,
=√√²+ y² and the plane z = 0.
5. Use spherical coordinates to evaluate
16-22
[7 marks]
1
x²+ y²+2² dz dy dr.
[7 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a5f227a-b726-4149-a593-72d219317c3d%2Fbb506c75-1d56-49cb-ba02-cd3abd279b40%2F87xjpbn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:DEPARTMENT OF MATHEMATICAL SCIENCES,
FACULTY OF SCIENCE
UNIVERSITI TEKNOLOGI MALAYSIA
SSCE 1993
Answer all questions.
SEMESTER 1 2017/2018
1. By changing the order of integration, evaluate
Le
2. Use polar coordinates to evaluate
3. Evaluate
9-22
“”
Test 2(15%)
Time: 1 hour 20 min.
[5 marks]
2
dy dx.
[5 marks]
G
where G is a tetrahedron in the first octant bounded by the plane
x+3y+2=6.
[6 marks]
4. Find the volume of the solid bounded by the surfaces r²+ y² = 2y,
=√√²+ y² and the plane z = 0.
5. Use spherical coordinates to evaluate
16-22
[7 marks]
1
x²+ y²+2² dz dy dr.
[7 marks]
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 11 images

Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage