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Question Number 226593 by Mingma last updated on 06/Dec/25 Commented by fantastic2 last updated on 07/Dec/25 $${option}\:{B} \\ $$ Commented by fantastic2 last updated on…
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Question Number 226572 by mr W last updated on 05/Dec/25 Answered by mr W last updated on 07/Dec/25 Commented by mr W last updated on…
Question Number 226569 by hardmath last updated on 05/Dec/25 $$\mathrm{a}^{\mathrm{4}} \:+\:\mathrm{b}^{\mathrm{4}} \:+\:\mathrm{c}^{\mathrm{4}} \:=\:\mathrm{2d}^{\mathrm{2}} \\ $$$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{has}\:\mathrm{an}\:\mathrm{infinite} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{natural}\:\mathrm{solutions} \\ $$ Commented by mr W last updated…
Question Number 226558 by hardmath last updated on 04/Dec/25 Answered by mr W last updated on 04/Dec/25 Commented by hardmath last updated on 05/Dec/25 $$\mathrm{thank}\:\mathrm{you}\:\mathrm{my}\:\mathrm{dear}\:\mathrm{professor}\:\mathrm{cool}…
Question Number 226561 by Spillover last updated on 04/Dec/25 Answered by Spillover last updated on 04/Dec/25 Answered by Spillover last updated on 04/Dec/25 Answered by…
Question Number 226562 by thetpainghtun_111 last updated on 04/Dec/25 $$\mathrm{If}\:\mathrm{x}\:+\:\mathrm{y}\:{i}\:=\:\frac{\mathrm{a}\:+\:{i}}{\mathrm{a}\:−\:{i}}\:,\:\mathrm{prove}\:\mathrm{that}\:\mathrm{ay}\:−\:\mathrm{1}\:=\:\mathrm{x}. \\ $$$$\:\left(\mathrm{x}+\mathrm{y}{i}\right)\left(\mathrm{a}−{i}\right)=\mathrm{a}+{i} \\ $$$$\:\:\:\mathrm{ax}\:−\:\mathrm{x}{i}\:+\:\mathrm{ay}{i}\:−\:\mathrm{y}{i}^{\mathrm{2}} \:=\:\mathrm{a}\:+\:{i} \\ $$$$\:\:\left(\mathrm{ax}\:+\:\mathrm{y}\right)\:+\:\left(\mathrm{ay}\:−\:\mathrm{x}\right){i}\:=\:\mathrm{a}\:+\:{i} \\ $$$$\:\:\mathrm{ay}\:−\:\mathrm{x}\:=\:\mathrm{1} \\ $$$$\:\:\mathrm{x}\:=\:\mathrm{ay}\:−\mathrm{1} \\ $$ Answered by…
Question Number 226542 by Lara2440 last updated on 03/Dec/25 Commented by Lara2440 last updated on 04/Dec/25 $$\: \\ $$$$\mathrm{Smooth}\:\mathrm{Manifold}\:{M},{N}\:\mathrm{and}\:\mathrm{differentiable}\:\mathrm{Smooth}\:\mathrm{function}\: \\ $$$$\overset{\rightarrow} {\phi}\left({u},{v}\right);{M}\rightarrow{N} \\ $$$$\: \\…