Question Number 139918 by mathsuji last updated on 02/May/21 $$\mathrm{1}+{cos}\mathrm{2}°+{cos}\mathrm{4}°+{cos}\mathrm{6}°+…+{cos}\mathrm{88}° \\ $$ Answered by mr W last updated on 02/May/21 $$\underset{{k}=\mathrm{0}} {\overset{\mathrm{44}} {\sum}}\left(\mathrm{cos}\:\frac{\mathrm{2}{k}\pi}{\mathrm{180}}+{i}\:\mathrm{sin}\:\frac{\mathrm{2}{k}\pi}{\mathrm{180}}\right)=\underset{{k}=\mathrm{0}} {\overset{\mathrm{44}} {\sum}}{e}^{\frac{\mathrm{2}{k}\pi}{\mathrm{180}}{i}}…
Question Number 139912 by mnjuly1970 last updated on 02/May/21 $$ \\ $$$$\:\:\:\:\:{prove}\:{that}::\: \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\Omega}\::=\int_{\mathrm{0}} ^{\:\frac{\mathrm{1}}{\mathrm{2}}} \frac{{dx}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}\:={log}\left(\varphi\right) \\ $$$$\:\:\:\:\:\:\:\:\varphi:={golden}\:{ratio}\:… \\ $$$$ \\ $$ Answered by…
Question Number 8839 by tawakalitu last updated on 31/Oct/16 $$\mathrm{Prove}\:\mathrm{that}.\: \\ $$$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{1}\:+\:\mathrm{n}\right)^{\mathrm{1}/\mathrm{n}} \:=\:\mathrm{e} \\ $$ Answered by FilupSmith last updated on 31/Oct/16 $${L}=\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{1}\:+\:{n}\right)^{\mathrm{1}/{n}}…
Question Number 8838 by tawakalitu last updated on 31/Oct/16 $$\mathrm{Show}\:\mathrm{that}\::\:\:\mathrm{e}^{\mathrm{i}\pi\:+\:\mathrm{1}} \:=\:\mathrm{0} \\ $$ Answered by FilupSmith last updated on 31/Oct/16 $$\mathrm{do}\:\mathrm{you}\:\mathrm{mean}\:{e}^{{i}\pi} +\mathrm{1}=\mathrm{0} \\ $$$${e}^{{ix}} =\mathrm{cos}\left({x}\right)+{i}\mathrm{sin}\left({x}\right)…
Question Number 139911 by mathdanisur last updated on 02/May/21 $$\underset{\:−\mathrm{1}} {\overset{\:\mathrm{1}} {\int}}\frac{\mathrm{1}+\boldsymbol{{z}}^{\mathrm{2}} }{\mathrm{1}+\boldsymbol{{z}}^{\mathrm{4}} }\:{d}\boldsymbol{{z}}=? \\ $$ Answered by Dwaipayan Shikari last updated on 02/May/21 $$\int_{−\mathrm{1}}…
Question Number 74371 by liki last updated on 23/Nov/19 Commented by liki last updated on 23/Nov/19 $$….{plz}\:{help}\:{me}\:\mathrm{16}{a}\:,,{emergerce} \\ $$ Answered by MJS last updated on…
Question Number 74369 by Rio Michael last updated on 23/Nov/19 $${please}\:{state}\:{Cramer}'{s}\:{rule} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74367 by Learner-123 last updated on 23/Nov/19 $${Solve}\:: \\ $$$$\left({D}^{\mathrm{4}} +\mathrm{4}\right){y}=\mathrm{0}\: \\ $$$${given}:\:{y}\left(\mathrm{0}\right)=\mathrm{0}\:,\:{y}'\left(\mathrm{0}\right)=\mathrm{2}\:,\:{y}''\left(\mathrm{0}\right)=\mathrm{0}\:{and} \\ $$$${y}'''\left(\mathrm{0}\right)=\mathrm{4}. \\ $$ Commented by mr W last updated…
Question Number 8829 by tawakalitu last updated on 30/Oct/16 $$\mathrm{The}\:\mathrm{LCM}\:\mathrm{of}\:\mathrm{three}\:\mathrm{whole}\:\mathrm{number}\:\mathrm{is}\:\mathrm{144}.\: \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{their}\:\mathrm{third}\:\mathrm{common}\:\mathrm{multiple}. \\ $$ Commented by Rasheed Soomro last updated on 31/Oct/16 $$\mathrm{All}\:\mathrm{the}\:\mathrm{common}\:\mathrm{multiples}\:\mathrm{are}\:\mathrm{multiples}\:\mathrm{of}\:\mathrm{LCM}. \\ $$$$\mathrm{First}\:\mathrm{common}\:\mathrm{multiple}\:\mathrm{is}\:\mathrm{LCM}\:\mathrm{itself}.\:\mathrm{The}\:\mathrm{second}…
If-the-third-common-multiple-of-two-number-is-495-Find-a-their-LCM-b-the-second-number-if-one-is-15-
Question Number 8828 by tawakalitu last updated on 30/Oct/16 $$\mathrm{If}\:\mathrm{the}\:\mathrm{third}\:\mathrm{common}\:\mathrm{multiple}\:\mathrm{of}\:\mathrm{two}\:\mathrm{number} \\ $$$$\mathrm{is}\:\mathrm{495}.\:\mathrm{Find} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{their}\:\mathrm{LCM} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{the}\:\mathrm{second}\:\mathrm{number}\:\mathrm{if}\:\mathrm{one}\:\mathrm{is}\:\mathrm{15} \\ $$ Commented by Rasheed Soomro last updated on…