Question Number 155281 by mnjuly1970 last updated on 28/Sep/21 $$ \\ $$$$\:{f}\::\left[\:\mathrm{0}\:,\:\:\mathrm{6}\right]\:\rightarrow\:\left[−\mathrm{4}\:,\:\mathrm{4}\right] \\ $$$$\:\:\:{f}\:\left(\mathrm{0}\:\right)=\mathrm{0} \\ $$$$\:\:\:\:{f}\:\left(\mathrm{6}\:\right)=\mathrm{4}\: \\ $$$$\:\:{x},\:\:{y}\geqslant\mathrm{0}\:\:,\:{x}+{y}\:\leqslant\mathrm{6} \\ $$$$\:\:\:{f}\:\left({x}+{y}\:\right)=\frac{\mathrm{1}}{\mathrm{4}}\left\{{f}\left({x}\right)\sqrt{\mathrm{16}−\left({f}\left({y}\right)\right)^{\mathrm{2}} }\:+{f}\left({y}\right)\sqrt{\mathrm{16}−\left({f}\left({x}\right)\right)^{\mathrm{2}} }\:\right\} \\ $$$$\:\:\therefore\:\:\:\left(\:{f}\left(\mathrm{1}\right)\:+{f}\:\left(\mathrm{3}\right)\right)^{\:\mathrm{2}} =?…
Question Number 155237 by mnjuly1970 last updated on 27/Sep/21 $$ \\ $$$$\:\:\mathrm{I}{f}\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:{ln}^{\:\mathrm{2}} \left({x}\:\right).{sin}\left(\sqrt{{x}\:}\:\right)}{{x}}\:{dx} \\ $$$$\:\:\:\:\:{prove}\:{that}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Omega\:=\:\mathrm{4}\:\gamma^{\:\mathrm{2}} \:+\:\frac{\pi^{\:\mathrm{3}} }{\mathrm{3}}\:\:\:\:\:\blacksquare\:{m}.{n} \\ $$ Answered by…
Question Number 155203 by nadovic last updated on 26/Sep/21 Answered by TheHoneyCat last updated on 29/Sep/21 $$\mathrm{let}\:\mathrm{O}\:\mathrm{be}\:\mathrm{the}\:\mathrm{center}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle} \\ $$$$\mathrm{let}\:\mathrm{A}\:\mathrm{be}\:\mathrm{a}\:\mathrm{vertice}\:\mathrm{of}\:\mathrm{the}\:\mathrm{rectangle} \\ $$$$\mathrm{let}\:\theta\:\mathrm{be}\:\mathrm{an}\:\mathrm{angle}\:\left(\mathrm{in}\:\mathrm{radian}\right)\:\mathrm{between}\:\mathrm{one}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{two}\:\mathrm{axis}\:\left(\mathrm{O}{z}\:\mathrm{or}\:\mathrm{O}{y}\right)\:\mathrm{and}\:\mathrm{the}\:\left(\mathrm{OA}\right)\:\mathrm{line} \\ $$$$…
Question Number 89666 by effiemuca last updated on 18/Apr/20 $${tentukan}\:{solusi}\:{umum}\:{dari}\:{persamaan}\:{diferensial}\:{parsial}\:{berikut}\:{ini}\:\mathrm{7}{u}_{{x}} +\mathrm{3}{u}_{{y}} +{u}={x}+{y} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 154940 by mnjuly1970 last updated on 23/Sep/21 Answered by john_santu last updated on 23/Sep/21 Commented by mnjuly1970 last updated on 24/Sep/21 $${grateful}\:…{very}\:{nice}\:{solution}. \\…
Question Number 89270 by jagoll last updated on 16/Apr/20 $${what}\:{is}\:{the}\:{maximum}\: \\ $$$${perimeter}\:{of}\:{a}\:{parallelogram}\: \\ $$$${ABCD}\:{which}\:{inscribed}\:{the}\: \\ $$$${ellipse}\:\frac{{x}^{\mathrm{2}} }{\mathrm{4}}\:+\:{y}^{\mathrm{2}} \:=\:\mathrm{1}\:? \\ $$ Terms of Service Privacy Policy…
Question Number 23522 by gopikrishnan005@gmail.com last updated on 01/Nov/17 $${the}\:{particular}\:{integral}\:{of}\:{the}\:{differential}\:{equation}\:{f}\left({D}\right){y}={e}^{{ax}} {where}\:{f}\left({D}\right)=\left({D}−{a}\right){g}\left({D}\right),{g}\left({a}\right)\neq\mathrm{0}\:{is} \\ $$ Commented by 1kanika# last updated on 26/Nov/17 $$\mathrm{xe}\Lambda\mathrm{ax}/\mathrm{g}\left(\mathrm{a}\right) \\ $$ Terms of…
Question Number 23431 by gopikrishnan005@gmail.com last updated on 30/Oct/17 $${If}\:{X}\:{is}\:{a}\:{discrete}\:{random}\:{variable}\:{then}\:{p}\left({X}\geqslant{a}\right)= \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 23428 by gopikrishnan005@gmail.com last updated on 30/Oct/17 $${the}\:{curve}\:{ay}^{\mathrm{2}} ={x}^{\mathrm{2}} \left(\mathrm{3}{a}−{x}\right)\:{cuts}\:{the}\:{y}-{axis}\:{at} \\ $$ Answered by $@ty@m last updated on 30/Oct/17 $${orogin} \\ $$ Answered…
Question Number 23429 by gopikrishnan005@gmail.com last updated on 30/Oct/17 $${An}\:{asymptote}\:{to}\:{the}\:{curve}\:{y}^{\mathrm{2}} \left(\mathrm{1}+{x}\right)={x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)\:{is} \\ $$ Commented by FilupES last updated on 31/Oct/17 $${y}^{\mathrm{2}} =\frac{{x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)}{\left(\mathrm{1}+{x}\right)} \\…