Question Number 152101 by otchereabdullai@gmail.com last updated on 25/Aug/21 $$\mathrm{Mr}\:\mathrm{Bonsu}\:\mathrm{an}\:\mathrm{engineer}\:\mathrm{walked}\:\mathrm{round} \\ $$$$\mathrm{a}\:\mathrm{cylindrical}\:\mathrm{container}\:\mathrm{4m}\:\mathrm{high}\:\mathrm{once} \\ $$$$\mathrm{keeping}\:\mathrm{a}\:\mathrm{constant}\:\mathrm{distance}\:\mathrm{of}\:\mathrm{1m}\:\mathrm{from} \\ $$$$\mathrm{the}\:\mathrm{container}.\:\mathrm{If}\:\mathrm{he}\:\mathrm{walked}\:\mathrm{with}\:\mathrm{a}\: \\ $$$$\mathrm{speed}\:\mathrm{of}\:\mathrm{3kmh}^{−\mathrm{1}} \:\mathrm{for}\:\mathrm{three}\:\mathrm{minutes},\: \\ $$$$\mathrm{calculate}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{whole}\:\mathrm{number} \\ $$$$\mathrm{the}: \\ $$$$\left(\mathrm{i}\right)\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}…
Question Number 21031 by youssoufab last updated on 10/Sep/17 $${if}\::\forall\epsilon>\mathrm{0},\:\forall\left({a},{b}\right)\in\mathbb{R}^{\mathrm{2}} ,{a}<{b}+\epsilon \\ $$$${prove}:\:{a}\leqslant{b} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 86560 by naka3546 last updated on 29/Mar/20 $${x}\:\:=\:\:\mathrm{1}\:+\:\frac{\mathrm{3}}{\mathrm{4}}\:+\:\frac{\mathrm{15}}{\mathrm{32}}\:+\:\frac{\mathrm{105}}{\mathrm{384}}\:+\:… \\ $$$${x}^{\mathrm{2}} \:−\:\mathrm{1}\:\:=\:\:? \\ $$ Commented by redmiiuser last updated on 29/Mar/20 $${ans}\:{is}\:\mathrm{7}. \\ $$…
Question Number 21021 by youssoufab last updated on 10/Sep/17 Commented by $@ty@m last updated on 10/Sep/17 $${pl}.\:{translate}\:{into}\:{English} \\ $$ Commented by Joel577 last updated on…
Question Number 152094 by mnjuly1970 last updated on 25/Aug/21 Answered by Olaf_Thorendsen last updated on 25/Aug/21 $$\mathrm{7cos}{x}+\mathrm{4sin}{x}+\mathrm{5}\:=\:\mathrm{0}\:\:\:\:\left(\mathrm{1}\right) \\ $$$$\mathrm{Let}\:{t}\:=\:\mathrm{tan}\frac{{x}}{\mathrm{2}} \\ $$$$\left(\mathrm{1}\right)\::\:\mathrm{7}\frac{\mathrm{1}−{t}^{\mathrm{2}} }{\mathrm{1}+{t}^{\mathrm{2}} }+\mathrm{4}\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }+\mathrm{5}\:=\:\mathrm{0} \\…
Question Number 152088 by rexford last updated on 25/Aug/21 $$\int_{\mathrm{0}} ^{\frac{\Pi}{\mathrm{2}}} \mid{sinx}−{cosx}\mid \\ $$$${please}\:{help}\:{me}\:{out} \\ $$ Answered by Olaf_Thorendsen last updated on 25/Aug/21 $$\mathrm{I}\:=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 152091 by rexford last updated on 25/Aug/21 $${Given}\:{tbat}\:{Arg}\left({z}+\mathrm{1}\right)=\frac{\Pi}{\mathrm{6}}\:{and}\: \\ $$$${Arg}\left({z}−\mathrm{1}\right)=\frac{\mathrm{2}\Pi}{\mathrm{3}}.{Find}\:{z}. \\ $$$${please}\:{help}\:{me} \\ $$ Answered by Olaf_Thorendsen last updated on 25/Aug/21 $$\mathrm{Let}\:{z}\:=\:{x}+{iy} \\…
Question Number 86552 by M±th+et£s last updated on 29/Mar/20 $${proe}\:{that} \\ $$$${f}\left({x}\right)={x}+\left[{x}\right]\: \\ $$$${increase}\:{in}\:{R} \\ $$ Commented by mathmax by abdo last updated on 29/Mar/20…
Question Number 86550 by DuDono last updated on 29/Mar/20 $$\mathrm{show}\:\mathrm{that} \\ $$$$\mathrm{tan}\:^{−\mathrm{1}} {x}=\frac{\mathrm{ln}\:\left(−{x}^{\mathrm{2}} +\mathrm{2}{ix}+\mathrm{1}\right)−\mathrm{ln}\:\left({x}^{\mathrm{2}} +\mathrm{1}\right)}{\mathrm{2}{i}} \\ $$ Commented by john santu last updated on 29/Mar/20…