Question Number 203561 by nomanmahmud last updated on 22/Jan/24 $$\sqrt{\mathrm{2}{x}−\mathrm{5}+\mathrm{3}=?} \\ $$ Commented by Rasheed.Sindhi last updated on 22/Jan/24 $$\sqrt{\mathrm{2}{x}−\mathrm{2}}\:=\sqrt{\mathrm{2}\left({x}−\mathrm{1}\right)}\:=\sqrt{\mathrm{2}}\:\sqrt{{x}−\mathrm{1}}\: \\ $$ Terms of Service…
Question Number 203544 by laxmanb2111 last updated on 21/Jan/24 $$\int_{\mathrm{0}} ^{\mathrm{1}_{} } \frac{{dx}}{\left(\mathrm{1}−{x}^{\mathrm{6}} \right)^{\frac{\mathrm{1}}{\mathrm{6}}} }\:=\frac{\pi}{\mathrm{3}} \\ $$ Answered by DwaipayanShikari last updated on 23/Jan/24 $$\int_{\mathrm{0}}…
Question Number 203545 by Mastermind last updated on 21/Jan/24 $$\mathrm{If}\:\mathrm{A},\mathrm{B},\mathrm{C}\:\mathrm{are}\:\mathrm{finite}\:\mathrm{sets}\:\mathrm{whose}\:\mathrm{elements}\:\mathrm{are}\: \\ $$$$\mathrm{from}\:\mathrm{the}\:\mathrm{same}\:\mathrm{universal}\:\mathrm{set}\:\mathrm{U}\:\mathrm{and}\:\mathrm{n}\left(\mathrm{A}\right)\: \\ $$$$\mathrm{denotes}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{element}\:\mathrm{in}\:\mathrm{the}\:\mathrm{set}\:\mathrm{A} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Show}\:\mathrm{by}\:\mathrm{means}\:\mathrm{of}\:\mathrm{venn}\:\mathrm{diagram}\:\mathrm{that} \\ $$$$\mathrm{n}\left(\mathrm{A}\:\cup\:\mathrm{B}\right)\:=\:\mathrm{n}\left(\mathrm{A}\right)\:+\:\mathrm{n}\left(\mathrm{B}\right)\:−\:\mathrm{n}\left(\mathrm{A}\:\cap\:\mathrm{B}\right) \\ $$$$\left(\mathrm{b}\right)\:\mathrm{Using}\:\mathrm{the}\:\mathrm{fact}\:\mathrm{that}\:\left(\mathrm{A}\:\cup\:\mathrm{B}\:\cup\:\mathrm{C}\right)\:=\:\left(\mathrm{A}\cup\mathrm{B}\right)\cup\mathrm{C} \\ $$$$=\mathrm{A}\cup\left(\mathrm{B}\cup\mathrm{C}\right)\:\mathrm{deduce}\:\mathrm{an}\:\mathrm{expression}\:\mathrm{for} \\ $$$$\left(\mathrm{A}\cup\mathrm{B}\cup\mathrm{C}\right) \\…
Question Number 203547 by hehenenwh last updated on 21/Jan/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 203533 by Mastermind last updated on 21/Jan/24 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x}\:: \\ $$$$\mathrm{3}^{\mathrm{x}+\mathrm{2}} =\mathrm{15}^{\mathrm{x}−\mathrm{1}} \\ $$ Answered by Rasheed.Sindhi last updated on 21/Jan/24 $$\mathrm{3}^{{x}+\mathrm{2}} =\mathrm{3}^{{x}−\mathrm{1}} \centerdot\mathrm{5}^{{x}−\mathrm{1}}…
Question Number 203560 by professorleiciano last updated on 21/Jan/24 Commented by esmaeil last updated on 22/Jan/24 $${Dear}\:{professor}\:{pleas}\:{ask}\:{in}\:{english}! \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 203529 by sonukgindia last updated on 21/Jan/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 203557 by ajfour last updated on 21/Jan/24 Commented by ajfour last updated on 21/Jan/24 $${Find}\:{maimum}\:{blue}\:{shaded}\:{area}. \\ $$ Answered by mr W last updated…
Question Number 203525 by Mastermind last updated on 21/Jan/24 $$\mathrm{Solve}:\: \\ $$$$\mathrm{4x}^{\mathrm{3}} +\mathrm{8xy}^{\mathrm{2}} −\mathrm{4x}=\mathrm{0}\:—–\left(\mathrm{1}\right) \\ $$$$\mathrm{8x}^{\mathrm{2}} \mathrm{y}−\mathrm{4y}\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{0}\:—–\left(\mathrm{2}\right) \\ $$$$\mathrm{simultaneosly}\:\mathrm{i}.\mathrm{e}\:\mathrm{find}\:\mathrm{the}\:\mathrm{stationary}\:\mathrm{point} \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Thank}\:\mathrm{you}…
Question Number 203526 by Mastermind last updated on 21/Jan/24 $$\mathrm{Determine}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{and}\:\mathrm{minimum}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{function}: \\ $$$$\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)=\mathrm{x}^{\mathrm{4}} +\mathrm{4x}^{\mathrm{2}} \mathrm{y}^{\mathrm{2}} −\mathrm{2x}^{\mathrm{2}} +\mathrm{2y}^{\mathrm{2}} −\mathrm{1} \\ $$$$ \\ $$$$\mathrm{Thank}\:\mathrm{you} \\ $$…