-1 3) Find dom (R), range(R), R¯¹, R · R, R · R-¹, R-¹ · R for the following relations: (a) R = {(x, y)|x, y ¤ N and y divides x}; (b) R = {(x, y) |x, y E R and 2x ≥ 3y}; (c) R = {(x, y) |x, y € and y ≥ sinx}. 2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Relations and functions 

-1
3) Find dom (R), range(R), R¯¹, R · R, R · R-¹, R-¹ · R for the following
relations:
(a) R = {(x, y)|x, y ¤ N and y divides x};
(b) R = {(x, y) |x, y E R and 2x ≥ 3y};
(c) R = {(x, y) |x, y € [and y ≥ sinx}.
Transcribed Image Text:-1 3) Find dom (R), range(R), R¯¹, R · R, R · R-¹, R-¹ · R for the following relations: (a) R = {(x, y)|x, y ¤ N and y divides x}; (b) R = {(x, y) |x, y E R and 2x ≥ 3y}; (c) R = {(x, y) |x, y € [and y ≥ sinx}.
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