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Which of the following represent the volume of the solid cut of the sphere 16 by the cylinder 2² + p² r = 4 cos 0? - · 2 ƒ™/² fő ST/2 4 ST/² SA π/2 cos cos r(16 – r²) dr de r√(16 – r²) dr do None of the given choices 4 S™/² fő ¹ ƒ˜/² ƒ4 cos º r(16 – r²) dr do 2 ST/² Sªcos º r√√(16 – r²) dr dº

Which of the following represent the volume of the solid cut of the sphere 16 by the cylinder 2² + p² r = 4 cos 0? - · 2 ƒ™/² fő ST/2 4 ST/² SA π/2 cos cos r(16 – r²) dr de r√(16 – r²) dr do None of the given choices 4 S™/² fő ¹ ƒ˜/² ƒ4 cos º r(16 – r²) dr do 2 ST/² Sªcos º r√√(16 – r²) dr dº

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following represent the volume of the solid cut of the sphere z² +p² 16 by the cylinder r = 4 cos 0? - 2 Sπ/² fªcosº r(16 – r²) dr dO *π/2 4 fT/2 4 cos ºr√(16 – r²) dr dº None of the given choices 4 ST/² S₁² cos A r(16 – r²) dr do π/2 4 2 ƒ/² √² cosº r√√(16 – r²) dr dº
Transcribed Image Text:Which of the following represent the volume of the solid cut of the sphere z² +p² 16 by the cylinder r = 4 cos 0? - 2 Sπ/² fªcosº r(16 – r²) dr dO *π/2 4 fT/2 4 cos ºr√(16 – r²) dr dº None of the given choices 4 ST/² S₁² cos A r(16 – r²) dr do π/2 4 2 ƒ/² √² cosº r√√(16 – r²) dr dº
Which of the following represents the area of the surface cut from the plane z = ax + by by the planes 0, x = a, y = 0 and y = b, where a > 0, b > 0. X - b Sº So √a² + b² + 1 dy dx b Sº Sº So So 2 √a² + b² + 1 dx dy ob a So So ax + by dx dy None of the given choices cb a So So ax + by dy dx
Transcribed Image Text:Which of the following represents the area of the surface cut from the plane z = ax + by by the planes 0, x = a, y = 0 and y = b, where a > 0, b > 0. X - b Sº So √a² + b² + 1 dy dx b Sº Sº So So 2 √a² + b² + 1 dx dy ob a So So ax + by dx dy None of the given choices cb a So So ax + by dy dx
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The spheres x² + y² + z² = a² and (x − b)² + y² + z² = (b − a)² are tangent at the point (−6, 0, 0) ○ (b, 0, 0) ○ (–a, 0, 0) ○ (a, 0, 0)
Transcribed Image Text:The spheres x² + y² + z² = a² and (x − b)² + y² + z² = (b − a)² are tangent at the point (−6, 0, 0) ○ (b, 0, 0) ○ (–a, 0, 0) ○ (a, 0, 0)
Which of the following represents the area of the surface cut from the plane z = ax + by by the planes 0, x = a, y = 0 and y = b, where a > 0, b > 0. X - b Sº So √a² + b² + 1 dy dx b Sº Sº So So 2 √a² + b² + 1 dx dy ob a So So ax + by dx dy None of the given choices cb a So So ax + by dy dx
Transcribed Image Text:Which of the following represents the area of the surface cut from the plane z = ax + by by the planes 0, x = a, y = 0 and y = b, where a > 0, b > 0. X - b Sº So √a² + b² + 1 dy dx b Sº Sº So So 2 √a² + b² + 1 dx dy ob a So So ax + by dx dy None of the given choices cb a So So ax + by dy dx
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