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Question-58374

Question Number 58374 by azizullah last updated on 22/Apr/19 Answered by mr W last updated on 22/Apr/19 $$\left({y}+\mathrm{13}\right)\left({y}+{a}\right)={y}^{\mathrm{2}} +\left(\mathrm{13}+{a}\right){y}+\mathrm{13}{a} \\ $$$$\mathrm{13}+{a}=\mathrm{0} \\ $$$$\Rightarrow{a}=−\mathrm{13} \\ $$…

Let-a-n-10-1-2-n-a-n-is-a-geometrical-sequence-S-n-a-0-a-1-a-n-1-S-n-10-1-1-2-n-1-1-2-Proove-that-S-n-10-2-2-1-

Question Number 58364 by Hassen_Timol last updated on 22/Apr/19 $$\mathrm{Let}\:{a}_{{n}} =\:\mathrm{10}\:×\:\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right)^{{n}} \\ $$$$\:\:\:\:{a}_{{n}} \:\mathrm{is}\:\mathrm{a}\:\mathrm{geometrical}\:\mathrm{sequence} \\ $$$$\:\:{S}_{{n}} \:=\:{a}_{\mathrm{0}} \:+\:{a}_{\mathrm{1}} \:+\:…\:+\:{a}_{{n}−\mathrm{1}} \\ $$$$\:\:\:\:\:{S}_{{n}} =\:\mathrm{10}\:×\:\frac{\mathrm{1}\:−\:\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right)^{{n}} }{\mathrm{1}\:−\:\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right)} \\ $$$$\boldsymbol{\mathrm{Proove}}\:\boldsymbol{\mathrm{that}}\::…

cos-x-cos-2016-cos-x-dx-

Question Number 58346 by ANTARES VY last updated on 21/Apr/19 $$\int\frac{\boldsymbol{\mathrm{cos}}\left(\boldsymbol{\mathrm{x}}\right)}{\boldsymbol{\mathrm{cos}}\left(\mathrm{2016}°+\boldsymbol{\mathrm{cos}}\left(\boldsymbol{\mathrm{x}}\right)\right.}×\boldsymbol{\mathrm{dx}} \\ $$ Answered by ANTARES VY last updated on 21/Apr/19 $$\boldsymbol{\mathrm{F}}\left(\boldsymbol{\mathrm{x}}\right)=? \\ $$ Answered…

Prove-that-ln-n-1-lt-1-1-2-1-1-2-2-2-1-n-2-n-n-N-

Question Number 189394 by TUN last updated on 15/Mar/23 $${Prove}\:{that}: \\ $$$${ln}\left({n}+\mathrm{1}\right)<\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}^{\mathrm{2}} +\mathrm{1}}}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}^{\mathrm{2}} +\mathrm{2}}}+…+\frac{\mathrm{1}}{\:\sqrt{{n}^{\mathrm{2}} +{n}}}\left(\forall{n}\in{N}^{\ast} \right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com