Let G be the interval (1/3, o). Let a be the operation on G such that, for all x, y e G, xu y = 6xy - 2(x+y) + 1. i. Write down the identity element e for (G, a). You need not write a proof of the identity law. ii. Prove the inverse law for (G, a).

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let G be the interval (1/3, ∞). Let a be the operation on G such that, for all x, y = G,
x a y = 6xy - 2(x+y) + 1.
i. Write down the identity element e for (G, a). You need not write a proof of the identity law. I
ii. Prove the inverse law for (G, D).
Mauimu
FOUR
Transcribed Image Text:Let G be the interval (1/3, ∞). Let a be the operation on G such that, for all x, y = G, x a y = 6xy - 2(x+y) + 1. i. Write down the identity element e for (G, a). You need not write a proof of the identity law. I ii. Prove the inverse law for (G, D). Mauimu FOUR
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