Question Number 24747 by NECx last updated on 25/Nov/17 $${if}\:{f}\left({x}\right)=\mathrm{2}\mid{x}−\mathrm{3}\mid\:{and}\:{g}\left({x}\right)={x}^{\mathrm{2}} .{Find}: \\ $$$$\left({i}\right){gof}\:\left({ii}\right){fog}\:\left({iii}\right){domain}\:{of}\:{fog} \\ $$$$\left({iv}\right){range}\:{of}\:{gof} \\ $$$$ \\ $$ Answered by ajfour last updated on…
Question Number 24744 by NECx last updated on 25/Nov/17 $${If}\:{a}\:{function}\:{f}\:{is}\:{defined}\:{such}\:{that} \\ $$$${f}:\mathbb{R}\rightarrow\mathbb{R}.{If}\: \\ $$$$\:\:\:\:{f}\left({x}\right)=\frac{\mathrm{3}{x}−\mathrm{2}}{{x}^{\mathrm{2}} +\mathrm{5}{x}−\mathrm{6}}.{Find}\:{the}\: \\ $$$$\left({i}\right){domain}\:{of}\:{f}\left({x}\right) \\ $$$$\left({ii}\right){range}\:{of}\:{f}\left({x}\right) \\ $$ Answered by ajfour last…
Question Number 155801 by cortano last updated on 05/Oct/21 $$\:\begin{cases}{\mathrm{m}^{\mathrm{2}} =\mathrm{n}+\mathrm{2}}\\{\mathrm{n}^{\mathrm{2}} =\mathrm{m}+\mathrm{2}}\end{cases}\:\Rightarrow\mathrm{m}\neq\mathrm{n} \\ $$$$\:\mathrm{4mn}−\mathrm{m}^{\mathrm{3}} −\mathrm{n}^{\mathrm{3}} =?\: \\ $$ Answered by Rasheed.Sindhi last updated on 05/Oct/21…
Question Number 155802 by cortano last updated on 05/Oct/21 $$\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\:\mathrm{2}×\mathrm{1}!+\mathrm{4}×\mathrm{2}!+\mathrm{6}×\mathrm{3}!+…+\mathrm{200}×\mathrm{100}! \\ $$ Answered by talminator2856791 last updated on 05/Oct/21 $$\:\mathrm{use}\:\mathrm{the}\:\mathrm{information}\:\mathrm{in}\:\mathrm{the}\:\mathrm{post}\: \\ $$$$\:\mathrm{above}\:\mathrm{this}\:\mathrm{post}\:\mathrm{Q}.\mathrm{155803}: \\…
Question Number 155803 by cortano last updated on 05/Oct/21 $$\mathrm{proof}\:\mathrm{that}\: \\ $$$$\:\underset{\mathrm{n}=\mathrm{1}} {\overset{\mathrm{10}} {\sum}}\mathrm{n}×\mathrm{n}!\:=\:\mathrm{11}!−\mathrm{1} \\ $$ Answered by som(math1967) last updated on 05/Oct/21 $$\mathrm{1}×\mathrm{1}!+\mathrm{2}×\mathrm{2}!+\mathrm{3}×\mathrm{3}!+…+\mathrm{10}×\mathrm{10}!\:+\mathrm{1}−\mathrm{1} \\…
Question Number 24728 by math solver last updated on 25/Nov/17 $$\mathrm{find}\:\mathrm{sum}\:\mathrm{of}\:: \\ $$$$\mathrm{1}^{\mathrm{3}\:} −\:\left(\:\mathrm{1}.\mathrm{5}\right)^{\mathrm{3}} \:+\mathrm{2}^{\mathrm{3}\:} −\left(\mathrm{2}.\mathrm{5}\right)^{\mathrm{3}} +………\:? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 90251 by Hanumantha Rao DAMARAJU last updated on 22/Apr/20 $$\frac{\mathrm{1}}{\mathrm{1}!}+\frac{\mathrm{1}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} }{\mathrm{2}!}+\frac{\mathrm{1}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} }{\mathrm{3}!}+…….=\:??? \\ $$ Commented by MJS last updated on…
Question Number 24704 by math solver last updated on 25/Nov/17 Commented by math solver last updated on 25/Nov/17 $$\mathrm{sum}\:\mathrm{of}\:\mathrm{series}\:\mathrm{upto}\:'\mathrm{n}'\:\mathrm{terms}\:\mathrm{is}\:? \\ $$ Commented by prakash jain…
Question Number 90240 by peter frank last updated on 22/Apr/20 $${solve} \\ $$$$\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }+{x}\frac{{dy}}{{dx}}+{xy}={x}^{\mathrm{3}} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 155776 by mathdanisur last updated on 04/Oct/21 $$\mathrm{if}\:\:\:\mathrm{x}\in\left(\mathrm{0};\frac{\pi}{\mathrm{2}}\right)\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}: \\ $$$$\frac{\mathrm{2}\:+\:\left(\mathrm{1}+\mathrm{cot}\boldsymbol{\mathrm{x}}\right)\left(\mathrm{tan}^{\mathrm{3}} \boldsymbol{\mathrm{x}}+\mathrm{cot}^{\mathrm{3}} \boldsymbol{\mathrm{x}}\right)}{\left(\mathrm{1}+\mathrm{tan}\boldsymbol{\mathrm{x}}\right)\left(\mathrm{1}+\mathrm{cot}\boldsymbol{\mathrm{x}}\right)}\:\geqslant\:\frac{\mathrm{3}}{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com