Question Number 63292 by aliesam last updated on 02/Jul/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{dy}}{\mathrm{1}+{y}\left({x}^{\mathrm{2}} −{x}\right)}\:{dx} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 128826 by benjo_mathlover last updated on 10/Jan/21 $$\int_{−\mathrm{1}} ^{\:\mathrm{5}} \sqrt{\frac{\mathrm{2x}^{\mathrm{2}} −\mathrm{8}}{\mathrm{x}}}\:\mathrm{dx}\:=? \\ $$ Answered by bobhans last updated on 10/Jan/21 $$\:\int\:\sqrt{\frac{\left({x}\sqrt{\mathrm{2}}\right)^{\mathrm{2}} −\left(\sqrt{\mathrm{8}}\right)^{\mathrm{2}} }{{x}}}\:{dx}\:…
Question Number 63291 by aliesam last updated on 02/Jul/19 $${find}\:{some}\:{of}\:{all}\:{real}\:{x}\:{such}\:{that} \\ $$$$ \\ $$$$\frac{\mathrm{4}{x}^{\mathrm{2}} +\mathrm{15}{x}+\mathrm{17}}{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{12}}\:=\:\frac{\mathrm{5}{x}^{\mathrm{2}} +\mathrm{16}{x}+\mathrm{18}}{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{13}} \\ $$ Commented by Prithwish sen last…
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Question Number 63288 by Tawa1 last updated on 02/Jul/19 Answered by Rio Michael last updated on 02/Jul/19 $$\:{if}\:{AB}\:=\:{AC}\:\: \\ $$$${then},\:\angle{B}\left(\mathrm{73}°\right)\:=\:\angle{C} \\ $$$$\Rightarrow\:\mathrm{73}°\:=\:\mathrm{34}°\:+\:{x}° \\ $$$${x}°\:=\:\mathrm{39}^{°} \:\:{please}\:{check}.…
Question Number 128822 by Maclaurin Stickker last updated on 10/Jan/21 $${Find}\:{all}\:{positive}\:{integers}\:{a},\:{b},\:{c}\:{and}\:{d} \\ $$$${such}\:{that}\:\mathrm{2}^{{a}} =\mathrm{3}^{{b}} ×\mathrm{5}^{{c}} +\mathrm{7}^{{d}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 128823 by BHOOPENDRA last updated on 10/Jan/21 Commented by BHOOPENDRA last updated on 10/Jan/21 $${help}\:{me}\:{out}\:{this}\:? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 128821 by benjo_mathlover last updated on 10/Jan/21 $$\:\mathrm{Nice}\:\mathrm{limit}\:! \\ $$$$\:\mathrm{For}\:−\mathrm{1}<{a}\:<\mathrm{1}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\underset{{x}\rightarrow−{a}} {\mathrm{lim}}\:\frac{\left({x}^{\mathrm{2}} +\mathrm{2}{ax}+{a}^{\mathrm{2}} \right)\left({x}^{\mathrm{2}} +{ax}+{a}^{\mathrm{2}} \right)}{\left(\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }−\sqrt{\mathrm{1}−{a}^{\mathrm{2}} }\:\right)^{\mathrm{2}} }\:=? \\ $$ Answered by liberty…
Question Number 128817 by benjo_mathlover last updated on 10/Jan/21 $$\:\mathrm{If}\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{\sqrt[{\mathrm{3}}]{\mathrm{ax}^{\mathrm{3}} +\mathrm{b}}\:−\mathrm{2x}}{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}\:=\:\mathrm{M}\:\mathrm{then}\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\sqrt[{\mathrm{3}}]{\mathrm{ax}^{\mathrm{3}} +\mathrm{b}}−\mathrm{2}}{\mathrm{x}^{\mathrm{2}} −\mathrm{3x}+\mathrm{2}}\:=? \\ $$ Answered by benjo_mathlover last updated on 10/Jan/21…