Question Number 139700 by EnterUsername last updated on 30/Apr/21 $$\mathrm{If}\:{z}_{\mathrm{1}} ,\:{z}_{\mathrm{2}} \:\mathrm{and}\:{z}_{\mathrm{3}} \:\mathrm{are}\:\mathrm{distinct}\:\mathrm{complex}\:\mathrm{numbers}\:\mathrm{such} \\ $$$$\mathrm{that}\:\mid{z}_{\mathrm{1}} \mid=\mid{z}_{\mathrm{2}} \mid=\mid{z}_{\mathrm{3}} \mid=\mathrm{1}\:\mathrm{and} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{{z}_{\mathrm{1}} ^{\mathrm{2}} }{{z}_{\mathrm{2}} {z}_{\mathrm{3}} }+\frac{{z}_{\mathrm{2}} ^{\mathrm{2}}…
Question Number 74164 by MASANJAJ last updated on 19/Nov/19 $${factorize} \\ $$$$\mathrm{6}{x}^{\mathrm{2}} \:−\mathrm{11}{xy}\:−\mathrm{10}{y}^{\mathrm{2}} \\ $$ Answered by MJS last updated on 19/Nov/19 $$\mathrm{6}{x}^{\mathrm{2}} −\mathrm{11}{xy}−\mathrm{10}{y}^{\mathrm{2}} =\mathrm{0}…
Question Number 8628 by sou1618 last updated on 18/Oct/16 $${is}\:{it}\:{always}\:{satisfying}? \\ $$$$\boldsymbol{{A}}=\mathrm{lim}\left[{n}\rightarrow\infty\right]\int{f}\left({n},{x}\right){dx} \\ $$$$\boldsymbol{{B}}=\int\mathrm{lim}\left[{n}\rightarrow\infty\right]{f}\left({n},{x}\right){dx} \\ $$$${A}={B}?? \\ $$$${please}\:{show}\:{counter}\:{example} \\ $$$$ \\ $$$$ \\ $$$${checking} \\…
Question Number 139697 by otchereabdullai@gmail.com last updated on 30/Apr/21 $$\mathrm{In}\:\mathrm{an}\:\mathrm{entrance}\:\mathrm{examination}\:\mathrm{each}\: \\ $$$$\mathrm{question}\:\mathrm{has}\:\mathrm{four}\:\mathrm{possible}\:\mathrm{answers}. \\ $$$$\mathrm{A}\:\mathrm{candidate}\:\mathrm{answers}\:\mathrm{three}\:\mathrm{question} \\ $$$$\mathrm{by}\:\mathrm{guessing}\:. \\ $$$$\mathrm{a}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{all}\:\mathrm{three}\: \\ $$$$\mathrm{questions}\:\mathrm{are}\:\mathrm{wrong}. \\ $$$$\mathrm{b}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{all}\:\mathrm{the}\: \\ $$$$\mathrm{questions}\:\mathrm{are}\:\mathrm{correct}. \\…
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Question Number 139696 by mnjuly1970 last updated on 30/Apr/21 Answered by Dwaipayan Shikari last updated on 30/Apr/21 $$\vartheta\left(\theta\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} {sin}\left({n}\theta\right)}{{n}\:} \\ $$$$\vartheta\left(\theta\right)=\frac{\mathrm{1}}{\mathrm{2}{i}}\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}}…
Question Number 74163 by MASANJAJ last updated on 19/Nov/19 $${factorize} \\ $$$$\left({x}−\mathrm{1}\right)^{\mathrm{2}} \:−\mathrm{4}{y}^{\mathrm{2}} \\ $$ Answered by MJS last updated on 19/Nov/19 $${a}^{\mathrm{2}} −{b}^{\mathrm{2}} =\left({a}−{b}\right)\left({a}+{b}\right)…
Question Number 74160 by MASANJAJ last updated on 19/Nov/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74161 by MASANJAJ last updated on 19/Nov/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 139695 by john_santu last updated on 30/Apr/21 $$\:\mid{x}^{\mathrm{2}} −\mathrm{4}{x}\mid\:+\mid{x}\mid\:\geqslant\:\mathrm{3}\: \\ $$ Answered by MJS_new last updated on 30/Apr/21 $$\mid{x}\left({x}−\mathrm{4}\right)\mid+\mid{x}\mid=\mathrm{3} \\ $$$$\mathrm{squaring} \\ $$$${x}^{\mathrm{2}}…