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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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 63E
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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]
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]
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]
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