Question Number 21429 by Tinkutara last updated on 23/Sep/17 $$\mathrm{In}\:\mathrm{any}\:\Delta{ABC},\:\Sigma{a}^{\mathrm{2}} \left(\mathrm{sin}\:{B}\:−\:\mathrm{sin}\:{C}\right)\:= \\ $$ Answered by $@ty@m last updated on 23/Sep/17 $${We}\:{have} \\ $$$$\frac{{a}}{\mathrm{sin}\:{A}}=\frac{{b}}{\mathrm{sin}\:{B}}=\frac{{c}}{\mathrm{sin}\:{C}}={k},\:{say} \\ $$$$\therefore\Sigma{a}^{\mathrm{2}}…
Question Number 152502 by Tawa11 last updated on 29/Aug/21 $$\int\:\mathrm{9x}^{\mathrm{2}} \left(\mathrm{4x}^{\mathrm{2}} \:\:+\:\:\mathrm{3}\right)^{\mathrm{10}} \:\mathrm{dx} \\ $$ Answered by Olaf_Thorendsen last updated on 30/Aug/21 $$\mathrm{F}\left({x}\right)\:=\:\int\mathrm{9}{x}^{\mathrm{2}} \left(\mathrm{4}{x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{10}}…
Question Number 86965 by A8;15: last updated on 01/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 86962 by abdomathmax last updated on 01/Apr/20 $${calculste}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:{x}^{\mathrm{2}} {ln}\left({x}\right){ln}\left(\mathrm{1}−{x}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 152496 by mathdanisur last updated on 28/Aug/21 Answered by qaz last updated on 29/Aug/21 $$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{x}^{\mathrm{4n}} }{\left(\mathrm{4n}\right)!}=\frac{\mathrm{x}^{\mathrm{4}} }{\mathrm{4}!}+\frac{\mathrm{x}^{\mathrm{8}} }{\mathrm{8}!}+\frac{\mathrm{x}^{\mathrm{12}} }{\mathrm{12}!}+… \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}\left[\left(\mathrm{1}−\frac{\mathrm{x}^{\mathrm{2}}…
Question Number 86963 by abdomathmax last updated on 01/Apr/20 $${calculate}\:\:{I}\:=\int\:\:{cos}^{\mathrm{4}} {x}\:{sh}^{\mathrm{2}} {x}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 21426 by x² – y²@gmail.com last updated on 23/Sep/17 $$\mathrm{given}\:\sqrt{\mathrm{2017}{x}^{\mathrm{2}} \:+\:\mathrm{4034}{x}\:+\:\mathrm{17}}\:+\:\sqrt{\mathrm{2017}{x}^{\mathrm{2}} \:+\:\mathrm{4034}{x}\:−\:\mathrm{3}}\:=\:\mathrm{10}, \\ $$$$\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:{x}^{\mathrm{2}} \:+\:\mathrm{2}{x}. \\ $$ Answered by $@ty@m last updated on…
Question Number 86960 by abdomathmax last updated on 01/Apr/20 $${let}\:{the}\:{mstrice}\:{A}\:\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{−\mathrm{1}\:\:\:\:\:\:\:\mathrm{0}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right){calculste}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:{e}^{{A}} \:{and}\:{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right){find}\:{sin}\left({A}\right)\:{and}\:{cis}\left({A}\right) \\ $$ Commented by abdomathmax last updated on…
Question Number 152498 by mathdanisur last updated on 28/Aug/21 $$\mathrm{if}\:\:\left(\sqrt{\mathrm{5}}\:+\:\mathrm{2}\right)^{\mathrm{6}} \:<\:\mathrm{x} \\ $$$$\mathrm{find}\:\:\mathrm{min}\left(\mathrm{x}\right)\:=\:? \\ $$ Commented by imjagoll last updated on 29/Aug/21 $$\mathrm{5778} \\ $$…
Question Number 86958 by abdomathmax last updated on 01/Apr/20 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated on…