Question Number 63636 by naka3546 last updated on 06/Jul/19 $${Find}\:\:{all}\:\:{solutions}\:\:{of}\:\:\left({x},\:{y},\:{a},\:{b}\right)\:\:{for}\:\:{these}\:\:{equations}\:: \\ $$$$\:\:\:\:\:\:\:\:{x}\:+\:{y}^{\mathrm{2}} \:\:=\:\:{p}^{{a}} \\ $$$$\:\:\:\:\:\:\:\:{x}^{\mathrm{2}} \:+\:{y}\:\:=\:\:{p}^{{b}} \\ $$$${which}\:\:\:{x},\:{y},\:{a},\:{b}\:\:{are}\:\:{integers}\:\:{and}\:\:{p}\:\:{prime}\:\:{number}\:. \\ $$ Terms of Service Privacy Policy…
Question Number 129171 by benjo_mathlover last updated on 13/Jan/21 $$\:\sqrt{\mathrm{1}−\mathrm{y}^{\mathrm{2}} }\:\mathrm{dx}\:−\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }\:\mathrm{dy}\:=\:\mathrm{0} \\ $$$$\:\mathrm{y}\left(\mathrm{0}\right)\:=\:\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\: \\ $$ Answered by bramlexs22 last updated on 13/Jan/21 $$\:\Rightarrow\:\sqrt{\mathrm{1}−\mathrm{y}^{\mathrm{2}} }\:\mathrm{dx}\:=\:\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}}…
Question Number 129169 by math178 last updated on 13/Jan/21 Commented by math178 last updated on 13/Jan/21 $${differential}\:{equation}\:{special}\:{solution}? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 129158 by gowsalya last updated on 13/Jan/21 Answered by MJS_new last updated on 13/Jan/21 $$\underset{\mathrm{0}} {\overset{\mathrm{2}\pi} {\int}}\mid\mathrm{cos}\:\theta\:+\mathrm{i}\:\mathrm{sin}\:\theta\:−\mathrm{1}\mid{d}\theta= \\ $$$$=\mathrm{2}\sqrt{\mathrm{2}}\underset{\mathrm{0}} {\overset{\pi} {\int}}\sqrt{\mathrm{1}−\mathrm{cos}\:\theta}\:{d}\theta= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{tan}\:\frac{\theta}{\mathrm{2}}\:\rightarrow\:{d}\theta=\frac{\mathrm{2}{dt}}{{t}^{\mathrm{2}}…
Question Number 129159 by gowsalya last updated on 13/Jan/21 Answered by TheSupreme last updated on 13/Jan/21 $$\int\left({e}^{{i}\theta} +{e}^{−{i}\theta} \right){e}^{{i}\theta} /\mathrm{2}=\frac{{e}^{{i}\theta} }{\mathrm{4}{i}}+\frac{\theta}{\mathrm{2}}+{c} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{2}\pi} …=\pi…
Question Number 63618 by kaivan.ahmadi last updated on 06/Jul/19 Commented by kaivan.ahmadi last updated on 06/Jul/19 $${i}\:{dont}\:{think}\: \\ $$$${if}\:{F}'{P}−{FP}=\mathrm{0}<{a}\:{then}\:{P}\:{is}\:{not}\:{inside} \\ $$ Commented by kaivan.ahmadi last…
Question Number 129150 by benjo_mathlover last updated on 13/Jan/21 $$\:\int_{\mathrm{0}} ^{\:\mathrm{x}} \left(\mathrm{x}−\mathrm{u}\right)^{\mathrm{2}} \mathrm{u}\:\mathrm{f}\left(\mathrm{u}\right)\:\mathrm{du}\:=\:\mathrm{4x}−\mathrm{6sin}\:\mathrm{x}+\mathrm{2xcos}\:\mathrm{x} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=? \\ $$ Answered by liberty last updated on 13/Jan/21 $$\:\frac{\mathrm{d}}{\mathrm{dx}}\left(\int_{\mathrm{0}}…
Question Number 63615 by aliesam last updated on 06/Jul/19 Commented by mathmax by abdo last updated on 06/Jul/19 $${changement}\:\:{x}=−{t}\:\:{give}\:\int_{−\mathrm{1}} ^{\mathrm{1}} \:{xln}\left(\mathrm{1}+\mathrm{10}^{{x}} \right){dx}\:=−\int_{−\mathrm{1}} ^{\mathrm{1}} \:\left(−{t}\right){ln}\left(\mathrm{1}+\mathrm{10}^{−{t}} \right)\left(−{dt}\right)…
Question Number 63614 by aliesam last updated on 06/Jul/19 $${solve}\:{the}\:{equation}\:{with}\:{using}\:\left({FPI\_Fixed}\:{Point}\:{Iteration}\right) \\ $$$$ \\ $$$${x}−{tan}\left({x}\right)=\mathrm{0}\:,\:{in}\left[\mathrm{4},\mathrm{5}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 129148 by benjo_mathlover last updated on 13/Jan/21 $$\:\left[\:\sqrt[{\mathrm{5}}]{\mathrm{4}^{\mathrm{x}} +\mathrm{44}}\:+\:\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{\mathrm{2}^{\mathrm{x}−\mathrm{1}} +\mathrm{7}}}\:\right]^{\mathrm{8}} =\:\mathrm{336} \\ $$$$\:\mathrm{x}\:=? \\ $$ Commented by liberty last updated on 13/Jan/21 $$\mathrm{nice}:!\:\mathrm{question}…