calculus volume by cylindrical shells, problemsadams005/math1271/topics... · volume = 1/3) l dd m...

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1 CALCULUS Volume by cylindrical shells, problems

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Page 1: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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CALCULUS

Volume by cylindrical shells,

problems

Page 2: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 3: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 4: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 5: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 6: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 7: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 8: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 9: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 10: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 11: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 12: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 13: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 14: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 15: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 16: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 17: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 18: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

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Page 19: CALCULUS Volume by cylindrical shells, problemsadams005/MATH1271/Topics... · VOLUME = 1/3) L dd m æl/3 2 AREA OF DISK = 37T = 27T y —y dy [27ry] [1 — y3] dy VOLUME = solid obtained

19 STOP

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