Question Number 72841 by indalecioneves last updated on 03/Nov/19 $${Could}\:{someone}\:{help}\:{me}\:{on}\:{this}\:{question}? \\ $$$${Knowing}\:{that}\:{the}\:{area}\:{of}\:{a}\:{circle}\:{segment}\:{is}\:{given}\:{by}\:{A}={R}^{\mathrm{2}} \left(\theta−{sin}\theta\right)/\mathrm{2}.\:{Where}\:{A}=\mathrm{7}{m}^{\mathrm{2}} ;\:{R}^{\mathrm{2}} =\frac{\mathrm{28}}{\pi}. \\ $$$${What}\:{is}\:{the}\:{best}\:{answer}\:{for}\:{the}\:{angle}\:{value}\:\left({degree}\right) \\ $$$$\left.{a}\right)\:\mathrm{85}°<\theta<\mathrm{90}° \\ $$$$\left.{b}\right)\:\mathrm{95}°<\theta<\mathrm{100}° \\ $$$$\left.{c}\right)\:\mathrm{105}°<\theta<\mathrm{110}° \\ $$$$\left.{d}\right)\:\mathrm{115}°<\theta<\mathrm{120}°…
Question Number 72838 by Rio Michael last updated on 03/Nov/19 $${given}\:{that}\:\:\:{f}\left({x}\right)\:=\:\frac{\mid{x}\:−\mathrm{2}\mid}{\mathrm{1}−\mid{x}\mid} \\ $$$${check}\:{if}\:{f}\:{is}\:{continuous}\:{a}\:{x}\:=\:\mathrm{2} \\ $$$${hence}\:\:{write}\:{f}\left({x}\right)\:{as}\:{a}\:{pairwise}\:{function}\: \\ $$ Commented by mathmax by abdo last updated on…
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Question Number 72836 by aliesam last updated on 03/Nov/19 Commented by mathmax by abdo last updated on 04/Nov/19 $${changement}\:{x}=\frac{\pi}{\mathrm{3}}+{t}\:\:{give} \\ $$$${lim}_{{x}\rightarrow\frac{\pi}{\mathrm{3}}} \:\:\frac{\sqrt{\mathrm{3}}{cosx}−{sinx}}{\mathrm{1}−\mathrm{2}{cosx}}\:={lim}_{{t}\rightarrow\mathrm{0}} \:\:\:\frac{\sqrt{\mathrm{3}}{cos}\left(\frac{\pi}{\mathrm{3}}+{t}\right)−{sin}\left(\frac{\pi}{\mathrm{3}}+{t}\right)}{\mathrm{1}−\mathrm{2}{cos}\left(\frac{\pi}{\mathrm{3}}+{t}\right)} \\ $$$$={lim}_{{t}\rightarrow\mathrm{0}}…
Question Number 72837 by Rio Michael last updated on 03/Nov/19 $${find}\: \\ $$$$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}\:+\:\left[{x}\right] \\ $$ Commented by mathmax by abdo last updated on 03/Nov/19…
Question Number 7300 by Tawakalitu. last updated on 22/Aug/16 $$\int_{\mathrm{0}} ^{\frac{\Pi}{\mathrm{2}}} \:\:\:\frac{{sinx}}{{sinx}\:+\:{cosx}}\:{dx}\: \\ $$ Answered by Yozzia last updated on 22/Aug/16 $${I}=\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \frac{{sinx}}{{sinx}+{cosx}}{dx} \\…
Question Number 7299 by Tawakalitu. last updated on 22/Aug/16 Commented by sou1618 last updated on 22/Aug/16 $${f}\left({x}\right)={x}^{\mathrm{4}} +\mathrm{2}{x}^{\mathrm{3}} −{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{1} \\ $$$${x}={y}−\frac{\mathrm{2}}{\mathrm{4}} \\ $$$${f}\left({y}−\frac{\mathrm{1}}{\mathrm{2}}\right)=\left({y}−\mathrm{1}/\mathrm{2}\right)^{\mathrm{4}} +\mathrm{2}\left({y}−\mathrm{1}/\mathrm{2}\right)^{\mathrm{3}}…
Question Number 72835 by Maclaurin Stickker last updated on 03/Nov/19 $${In}\:{an}\:{arithmetic}\:{progression}\:{the} \\ $$$${ninth}\:{term}\:{is}\:{greater}\:{than}\:{the}\:{second} \\ $$$${term}\:{and}\:{the}\:{sum}\:{of}\:{the}\:{first}\:{term} \\ $$$${with}\:{the}\:{fifth}\:{term}\:{is}\:\mathrm{20}.\:{What}\:{is} \\ $$$${the}\:{fifth}\:{term}? \\ $$ Answered by $@ty@m123 last…
Question Number 72832 by necxxx last updated on 03/Nov/19 $${In}\:{a}\:{parallelogram}\:{OABC},\:{O}\overset{\rightharpoondown} {{A}}=\overset{−\rightharpoondown} {{a}}, \\ $$$${O}\overset{\rightarrow} {{C}}=\overset{\rightarrow} {{c}},\:{D}\:{is}\:{a}\:{point}\:{such}\:{that}\:{A}\overset{\rightarrow} {{D}}:{D}\overset{\rightarrow} {{B}}=\mathrm{1}:\mathrm{2} \\ $$$${Express}\:{the}\:{following}\:{in}\:{terms}\:{of}\:{a}\:{and}\:{c} \\ $$$$\left({i}\right){C}\overset{\rightarrow} {{B}}\:\left({ii}\right){B}\overset{\rightarrow} {{C}}\:\left({iii}\right){A}\overset{\rightarrow} {{B}}\:\left({iv}\right)\:{A}\overset{\rightarrow}…
Question Number 138365 by cherokeesay last updated on 12/Apr/21 Answered by mr W last updated on 12/Apr/21 $${a}={b}\:\mathrm{sin}\:\alpha \\ $$$$\frac{{a}}{{b}}=\mathrm{sin}\:\alpha \\ $$$$\underset{\alpha\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{a}}{{b}}=\mathrm{0} \\ $$…