Question Number 173839 by Khalmohmmad last updated on 19/Jul/22 $${x}^{\mathrm{4}} +{x}^{\mathrm{3}} +{x}^{\mathrm{2}} +{x}+\mathrm{1}=\mathrm{0} \\ $$ Commented by mr W last updated on 19/Jul/22 $${x}_{{k}} =\mathrm{cos}\:\frac{\mathrm{2}{k}\pi}{\mathrm{5}}+{i}\:\mathrm{sin}\:\frac{\mathrm{2}{k}\pi}{\mathrm{5}}\:\:\:\:\left({k}=\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4}\right)…
Question Number 108298 by bachamohamed last updated on 16/Aug/20 $$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{3}} +\mathrm{1}}=\:? \\ $$ Answered by Dwaipayan Shikari last updated on 16/Aug/20 $$\underset{{n}=\mathrm{1}}…
Question Number 42730 by Rio Michael last updated on 01/Sep/18 $${Given}\:{that}\:{f}\left({x}\right)\:=\:\sqrt{\mathrm{1}−{x}}\:{Find} \\ $$$$\left.{a}\right)\:{D}_{{f}} \:{for}\:{the}\:{arranged}\:{form}\:{of}\:{f}\left({x}\right) \\ $$$$\left.{b}\right)\:{fg}\:{if}\:{fh}=\:{g}\left({x}\right)\:{and}\:{h}\left({x}\right)=\:\mathrm{3}{x}^{\mathrm{2}} −\mathrm{4} \\ $$$$\left.{c}\right)\:{A}\left({x}\right)=\:\begin{cases}{\sqrt{\mathrm{1}−{x}}\:,\:{x}\neq\:\mathrm{1}}\\{{x}^{\mathrm{2}} ,{x}\neq\mathrm{0}}\end{cases} \\ $$$${find}\:{A}^{−\mathrm{1}} . \\ $$$$…
Question Number 173807 by mokys last updated on 18/Jul/22 Answered by aleks041103 last updated on 18/Jul/22 $${h}\left({t}\right)=\underset{\mathrm{0}} {\overset{\:{t}} {\int}}{f}\left({x}\right){g}\left({t}−{x}\right){dx} \\ $$$${h}\:{is}\:{the}\:{convolution}\:{of}\:{f}\:{and}\:{g}. \\ $$$${for}\:{convolution}\:{and}\:{the}\:{laplace}\:{transform} \\ $$$${it}'{s}\:{true}\:{that}:…
Question Number 42718 by mondodotto@gmail.com last updated on 01/Sep/18 $$\mathrm{if}\:\mathrm{p}\left(\mathrm{A}\right)=\mathrm{0}.\mathrm{25}\:\mathrm{and}\:\mathrm{p}\left(\mathrm{B}\right)=\mathrm{0}.\mathrm{8} \\ $$$$\mathrm{then}\:\mathrm{show}\:\mathrm{that}\:\mathrm{0}.\mathrm{05}\leqslant\mathrm{p}\left(\mathrm{A}\cap\mathrm{B}\right)\leqslant\mathrm{0}.\mathrm{25} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 108240 by mathdave last updated on 15/Aug/20 Answered by john santu last updated on 15/Aug/20 $$\:\:\:\:\frac{\Box{JS}\bigtriangleup}{\bigstar} \\ $$$$\mathrm{2}^{{a}+\mathrm{4}} \:=\:\mathrm{6}\:\Rightarrow\mathrm{2}^{{a}+\mathrm{4}} \:=\:\mathrm{2}.\mathrm{3} \\ $$$$\Rightarrow\mathrm{2}^{{a}+\mathrm{3}} \:=\:\mathrm{3}\:…\left({i}\right)…
Question Number 108235 by mathdave last updated on 15/Aug/20 Answered by Dwaipayan Shikari last updated on 15/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{tan}^{−\mathrm{1}} \left({x}^{\mathrm{2}} +\mathrm{3}{x}\right)}{{sin}^{−\mathrm{1}} \mathrm{2}{x}}=\frac{{x}^{\mathrm{2}} +\mathrm{3}{x}}{\mathrm{2}{x}}=\frac{\mathrm{3}}{\mathrm{2}}\:\:\:\: \\ $$$${When}\:{x}\rightarrow\mathrm{0}…
Question Number 173765 by saly last updated on 17/Jul/22 Answered by cortano1 last updated on 18/Jul/22 $$\:{L}\:=\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\left(\frac{\mathrm{3}}{\mathrm{1}−\sqrt{{x}}}\:−\:\frac{\mathrm{2}}{\mathrm{1}−\sqrt[{\mathrm{3}}]{{x}}}\:\right)=? \\ $$$$\:\left[\:{let}\:{x}\:=\:{t}^{\mathrm{6}} \:\wedge\:{t}\rightarrow\mathrm{1}\:\right] \\ $$$$\:{L}=\:\underset{{t}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\left(\frac{\mathrm{3}}{\mathrm{1}−{t}^{\mathrm{3}} }\:−\:\frac{\mathrm{2}}{\mathrm{1}−{t}^{\mathrm{2}}…
Question Number 173767 by SANOGO last updated on 17/Jul/22 $${prouve}\:,{n}\epsilon{N} \\ $$$$\int_{{a}} ^{{a}} \left({t}−{a}\right)\left({t}−{b}\right)=\frac{\left({b}−{a}\right)^{{n}+\mathrm{2}} }{\left({n}+\mathrm{1}\right)\left({n}+\mathrm{2}\right)} \\ $$ Commented by JDamian last updated on 17/Jul/22 $$\int_{{a}}…
Question Number 108222 by ZiYangLee last updated on 15/Aug/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{tan6}°\mathrm{tan42}°\mathrm{tan66}°\mathrm{tan78}°\:\mathrm{without} \\ $$$$\mathrm{calculator}. \\ $$ Answered by Dwaipayan Shikari last updated on 15/Aug/20 $${sin}\mathrm{6}°{sin}\mathrm{42}°{sin}\mathrm{66}°{sin}\mathrm{78}°…