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Author: Tinku Tara

x-y-3-and-x-5-y-3-5-find-x-and-y-

Question Number 139331 by 7770 last updated on 26/Apr/21 $$\sqrt{\boldsymbol{{x}}}+\sqrt{\boldsymbol{{y}}}=\mathrm{3}\:\:\boldsymbol{{and}} \\ $$$$\sqrt{\boldsymbol{{x}}+\mathrm{5}}+\sqrt{\boldsymbol{{y}}+\mathrm{3}}=\mathrm{5} \\ $$$$\boldsymbol{{find}}\:\boldsymbol{{x}}\:\boldsymbol{{and}}\:\boldsymbol{{y}} \\ $$ Answered by bemath last updated on 26/Apr/21 $$\left(\mathrm{1}\right)\mathrm{x}=\mathrm{9}+\mathrm{y}−\mathrm{6}\sqrt{\mathrm{y}}\: \\…

If-A-B-C-90-show-that-tanA-tanB-tanB-tanC-tanC-tanA-1-

Question Number 8257 by lepan last updated on 04/Oct/16 $${If}\:{A}+{B}+{C}=\mathrm{90}°\:,{show}\:{that}\: \\ $$$${tanA}\:{tanB}+{tanB}\:{tanC}+{tanC}\:{tanA}=\mathrm{1}. \\ $$ Answered by sandy_suhendra last updated on 04/Oct/16 $$=\mathrm{tanA}\:\mathrm{tanB}\:+\:\mathrm{tanC}\:\left(\mathrm{tanA}+\mathrm{tanB}\right) \\ $$$$=\mathrm{tanA}\:\mathrm{tanB}\:+\:\mathrm{tanC}\:\mathrm{tan}\left(\mathrm{A}+\mathrm{B}\right)\left[\mathrm{1}−\mathrm{tanA}\:\mathrm{tanB}\right] \\…

Question-73789

Question Number 73789 by liki last updated on 15/Nov/19 Commented by liki last updated on 15/Nov/19 $$..{Sory}\:{sir};\:{Mr}\:{mind}\:{is}\:{power}\:{plz}\:{help}\: \\ $$$$\:\:{that}\:{qn}\:\mathrm{5}\:\left({a}\right),\left({b}\right),\left({c}\right)\:{and}\:\left({d}\right).\:{or}\:{anyone} \\ $$$$\:{to}\:{assist}\:{me}\:{this}\:{qn} \\ $$ Commented by…

Question-8252

Question Number 8252 by 8168 last updated on 04/Oct/16 Answered by Yozzias last updated on 04/Oct/16 $$\mathrm{6}+\mathrm{4}+\frac{\mathrm{8}}{\mathrm{3}}+\frac{\mathrm{16}}{\mathrm{9}}+… \\ $$$$=\mathrm{6}+\left(\frac{\mathrm{2}^{\mathrm{2}} }{\mathrm{3}^{\mathrm{0}} }+\frac{\mathrm{2}^{\mathrm{3}} }{\mathrm{3}^{\mathrm{1}} }+\frac{\mathrm{2}^{\mathrm{4}} }{\mathrm{3}^{\mathrm{2}} }+…+\frac{\mathrm{2}^{\mathrm{n}+\mathrm{1}}…

sin-50-sin-40-without-tables-or-calculators-

Question Number 73787 by Rio Michael last updated on 15/Nov/19 $${sin}\:\mathrm{50}\:+\:{sin}\:\mathrm{40}=\:?\:{without}\:{tables}\:{or}\:{calculators} \\ $$ Commented by mind is power last updated on 15/Nov/19 $$\mathrm{i}\:\mathrm{see}\:\mathrm{just}\:\mathrm{cardan}\:\mathrm{Methode} \\ $$$$\mathrm{sin}\left(\mathrm{50}\right)=\mathrm{sin}\left(\mathrm{90}−\mathrm{40}\right)=\mathrm{cos}\left(\mathrm{40}\right)…

Let-f-define-such-as-f-1-1-f-3-3-n-2-f-2n-f-n-f-4n-1-2f-2n-1-f-n-f-4n-3-3f-2n-1-2f-n-1-Prove-that-n-f-n-is-odd-2-Prove-that-if-f-a-n-a-n-then-a-n-2-n-1-or-a-n-2-n-1

Question Number 139323 by snipers237 last updated on 25/Apr/21 $$\:{Let}\:{f}\:{define}\:{such}\:{as}\:\:{f}\left(\mathrm{1}\right)=\mathrm{1},{f}\left(\mathrm{3}\right)=\mathrm{3} \\ $$$$\forall\:{n}\geqslant\mathrm{2}\:\:,\:{f}\left(\mathrm{2}{n}\right)={f}\left({n}\right)\: \\ $$$${f}\left(\mathrm{4}{n}+\mathrm{1}\right)=\mathrm{2}{f}\left(\mathrm{2}{n}+\mathrm{1}\right)−{f}\left({n}\right) \\ $$$${f}\left(\mathrm{4}{n}+\mathrm{3}\right)=\mathrm{3}{f}\left(\mathrm{2}{n}+\mathrm{1}\right)−\mathrm{2}{f}\left({n}\right) \\ $$$$ \\ $$$$\left.\mathrm{1}\right){Prove}\:{that}\:\forall\:{n}\:,\:{f}\left({n}\right)\:{is}\:{odd} \\ $$$$\left.\mathrm{2}\right){Prove}\:{that}\:{if}\:\:\:{f}\left({a}_{{n}} \right)={a}_{{n}} \:, \\…

prove-that-are-axactly-1729-positive-integer-solutions-to-the-below-equation-4x-4-3y-3-2z-2-t-4311-

Question Number 139319 by mathsuji last updated on 25/Apr/21 $${prove}\:{that}\:{are}\:{axactly}\:\mathrm{1729}\:{positive} \\ $$$${integer}\:{solutions}\:{to}\:{the}\:{below}\:{equation} \\ $$$$\mathrm{4}{x}^{\mathrm{4}} +\mathrm{3}{y}^{\mathrm{3}} +\mathrm{2}{z}^{\mathrm{2}} +{t}=\mathrm{4311} \\ $$ Commented by Rasheed.Sindhi last updated on…

Show-that-the-curve-y-ln-5-7x-8-x-has-no-stationary-point-for-all-real-values-of-x-

Question Number 8244 by lepan last updated on 04/Oct/16 $${Show}\:{that}\:{the}\:{curve}\:{y}={ln}\left(\frac{\mathrm{5}−\mathrm{7}{x}}{\mathrm{8}+{x}}\right)\:{has} \\ $$$${no}\:{stationary}\:{point}\:{for}\:{all}\:{real}\:{values} \\ $$$${of}\:{x}. \\ $$ Answered by 123456 last updated on 06/Oct/16 $${y}=\mathrm{ln}\:\frac{\mathrm{5}−\mathrm{7}{x}}{\mathrm{8}+{x}} \\…