Question Number 152799 by nadovic last updated on 01/Sep/21 $$\:\:\mathrm{Given}\:\mathrm{that}\:{f}\circ{g}\:=\:\frac{{x}^{\mathrm{2}} }{\mathrm{2}{x}^{\mathrm{2}} \:−\:{x}\:+\:\mathrm{4}}\:\:\mathrm{and} \\ $$$$\:\:{g}\left({x}\right)\:=\:\frac{{x}}{{x}\:−\:\mathrm{2}},\:\mathrm{find}\:{f}\left({x}\right). \\ $$ Commented by otchereabdullai@gmail.com last updated on 08/Sep/21 $$\mathrm{nice}! \\…
Question Number 152793 by 7770 last updated on 01/Sep/21 $$\:\int!\boldsymbol{{dx}} \\ $$$$ \\ $$$$\:\boldsymbol{{i}}\:\boldsymbol{{found}}\:\:\boldsymbol{{this}}\:\boldsymbol{{question}}\:\boldsymbol{{somewhere}} \\ $$$$\:\boldsymbol{{and}}\:\boldsymbol{{i}}\:\boldsymbol{{dont}}\:\boldsymbol{{know}}\:\boldsymbol{{even}}\:\boldsymbol{{know}}\:\boldsymbol{{how}}\:\boldsymbol{{to}} \\ $$$$\boldsymbol{{approach}}\:\boldsymbol{{it}}. \\ $$ Commented by MJS_new last updated…
Question Number 21722 by mondodotto@gmail.com last updated on 02/Oct/17 Answered by mrW1 last updated on 02/Oct/17 $$\mathrm{cos}^{\mathrm{2}} \:\mathrm{x}+\mathrm{3sin}\:\mathrm{2x}=\mathrm{2} \\ $$$$\mathrm{2cos}^{\mathrm{2}} \:\mathrm{x}+\mathrm{6sin}\:\mathrm{2x}=\mathrm{4} \\ $$$$\mathrm{2cos}^{\mathrm{2}} \:\mathrm{x}−\mathrm{1}+\mathrm{6sin}\:\mathrm{2x}=\mathrm{3} \\…
Question Number 152795 by mnjuly1970 last updated on 01/Sep/21 $$ \\ $$$$\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}\left({x}\:\right)}{{x}}\left(\frac{{a}^{\:\mathrm{2}} +{cos}^{\:\mathrm{2}} \left({x}\right)}{{b}^{\:\mathrm{2}} +\:{cos}^{\:\mathrm{2}} \left({x}\:\right)}\right){dx}=? \\ $$$$ \\ $$ Answered by Olaf_Thorendsen…
Question Number 21721 by Isse last updated on 02/Oct/17 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}} {sin}^{\mathrm{2}} {xcos}^{\mathrm{3}} {xdx} \\ $$ Answered by sma3l2996 last updated on 02/Oct/17 $$=\int_{\mathrm{0}} ^{\pi/\mathrm{2}}…
Question Number 21720 by Isse last updated on 01/Oct/17 $$\int{sin}^{\mathrm{5}} \theta{d}\theta \\ $$ Answered by sma3l2996 last updated on 02/Oct/17 $$=\int\left(\mathrm{1}−{cos}^{\mathrm{2}} {x}\right)^{\mathrm{2}} {sinxdx}=\int\left({sinx}−\mathrm{2}{sinxcos}^{\mathrm{2}} {x}+{sinxcos}^{\mathrm{4}} {x}\right){dx}…
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Question Number 152791 by mathdanisur last updated on 01/Sep/21 Answered by MJS_new last updated on 02/Sep/21 $$\left({xy}−\mathrm{1}\right)^{\mathrm{2}} −\mathrm{16}\left({x}−\mathrm{1}\right)\left({y}−\mathrm{1}\right)\geqslant\mathrm{0} \\ $$$${x}^{\mathrm{2}} {y}^{\mathrm{2}} −\mathrm{18}{xy}+\mathrm{16}{x}+\mathrm{16}{y}−\mathrm{15}\geqslant\mathrm{0} \\ $$$${x}=\mathrm{3}+{p}\wedge{y}=\mathrm{3}+{q}\wedge{p}\geqslant\mathrm{0}\wedge{q}\geqslant\mathrm{0} \\…
Question Number 152790 by mathdanisur last updated on 01/Sep/21 Commented by MJS_new last updated on 01/Sep/21 $$\mathrm{you}\:\mathrm{can}\:\mathrm{do}\:\mathrm{it}\:\mathrm{yourself}. \\ $$$$\mathrm{simply}\:\mathrm{let}\:{x}=\frac{{t}}{{a}}\:\mathrm{and}\:\mathrm{solve}\:\mathrm{it}! \\ $$ Terms of Service Privacy…
Question Number 87253 by peter frank last updated on 03/Apr/20 $${Three}\:{pair}\:{of}\:{socks}\:{are} \\ $$$${placed}\:{in}\:{a}\:{box}.{If}\:{two} \\ $$$${socks}\:{are}\:{drawn}\:{at} \\ $$$${random}\:{from}\:{the}\:{box} \\ $$$${What}\:{is}\:{the}\:{probability} \\ $$$$\left({a}\right){of}\:{drawing}\:\:{a}\:{match} \\ $$$${pair} \\ $$$$\left({b}\right){of}\:{drawing}\:{a}\:{socks}…