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Question-10820

Question Number 10820 by chux last updated on 26/Feb/17 Answered by bar Jesús last updated on 26/Feb/17 $$\mathrm{8}{log}_{\mathrm{2}} {x}={log}_{\mathrm{2}} {x}^{\mathrm{8}} ,{x}=\mathrm{2} \\ $$$$\left({x}−\mathrm{1}\right){log}_{{x}} \mathrm{2}={log}_{{x}} \mathrm{2}^{\left({x}−\mathrm{1}\right)}…

Question-76346

Question Number 76346 by Maclaurin Stickker last updated on 26/Dec/19 Commented by Maclaurin Stickker last updated on 26/Dec/19 $$\mathrm{1}.\:{Find}\:{x}\:{as}\:{a}\:{function}\:{of}\:{b}\:{and}\:{c}. \\ $$$$\mathrm{2}.\:{Under}\:{what}\:{conditions}\:{does}\:{the} \\ $$$${problem}\:{admit}\:{a}\:{solution}? \\ $$…

Question-76341

Question Number 76341 by liki last updated on 26/Dec/19 Commented by liki last updated on 26/Dec/19 $$..\boldsymbol{{Help}}\:\boldsymbol{{me}}\:\boldsymbol{{qn}}\:\mathrm{1}\left(\boldsymbol{{b}}\right)\:\boldsymbol{{plz}}.. \\ $$ Terms of Service Privacy Policy Contact:…

Question-141856

Question Number 141856 by rs4089 last updated on 24/May/21 Answered by TheSupreme last updated on 24/May/21 $${x}=\rho{sin}\left(\varphi\right){cos}\left(\theta\right) \\ $$$${y}=\rho{sin}\left(\varphi\right){sin}\left(\theta\right) \\ $$$${z}=\rho{cos}\left(\theta\right) \\ $$$${det}\mid{J}\mid=\rho^{\mathrm{2}} {sin}\left(\varphi\right) \\…

Question-141855

Question Number 141855 by rs4089 last updated on 24/May/21 Answered by TheSupreme last updated on 24/May/21 $${E}=\left\{\left({x},{y}\right)\mid{y}<{x}<{a}\:\vee\:\mathrm{0}<{y}<{a}\right\} \\ $$$${E}^{\mathrm{1}} =\left\{\left(\rho,\theta\right)\mid\:\mathrm{0}<\rho<{a},\:\mathrm{0}<\theta<\frac{\pi}{\mathrm{4}}\right\} \\ $$$${det}\mid{J}\mid=\rho \\ $$$$\int_{\mathrm{0}} ^{{a}}…