Question Number 10248 by j.masanja06@gmail.com last updated on 31/Jan/17 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$$$\:\:\:\mathrm{logx}^{\mathrm{2}} =\frac{\mathrm{x}}{\mathrm{25}} \\ $$ Answered by mrW1 last updated on 01/Feb/17 $${I}.\:{if}\:{x}>\mathrm{0}: \\ $$$$\mathrm{log}\:{x}^{\mathrm{2}}…
Question Number 75778 by mr W last updated on 16/Dec/19 $${if}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} ={p},\:{x}^{\mathrm{3}} +{y}^{\mathrm{3}} ={q}, \\ $$$${find}\:{x}^{{n}} +{y}^{{n}} \:{in}\:{terms}\:{of}\:{p},\:{q}\:{and}\:{n}. \\ $$$$\left({n}\geqslant\mathrm{4}\right) \\ $$ Answered by…
Question Number 10242 by FilupSmith last updated on 31/Jan/17 $${f}\left({x}\right)=\frac{\mathrm{sin}\left({x}+{n}\right)}{\mathrm{cos}\left({x}−{n}\right)} \\ $$$$\mathrm{if}\:{f}\left({x}\right)=\mathrm{1},\:\:{n}=?? \\ $$ Commented by arge last updated on 03/Feb/17 $${ojo}\:{con}\:{las}\:{identidades}\:{y}\:{derivadas}.\:{Salu}\mathrm{2}. \\ $$ Answered…
Question Number 10232 by konen last updated on 30/Jan/17 $$\mathrm{x}\in\mathrm{Z},\:\mathrm{A}\in\mathrm{R} \\ $$$$\mathrm{A}=^{\mathrm{4}} \sqrt{\mathrm{3}−\mid\mathrm{x}−\mathrm{4}\mid}\:\Rightarrow\Sigma\mathrm{x}=? \\ $$ Answered by mrW1 last updated on 30/Jan/17 $${A}\in{R}\:\Rightarrow\:\mathrm{3}−\mid{x}−\mathrm{4}\mid\geqslant\mathrm{0} \\ $$$$\mid{x}−\mathrm{4}\mid\leqslant\mathrm{3}…
Question Number 10228 by j.masanja06@gmail.com last updated on 30/Jan/17 $$\:\:\:\:\:\:\:\:\mathrm{B}\:\mathrm{is}\:\mathrm{the}\:\mathrm{matrix}\: \\ $$$$\:\:\:\:\:\:\:\lceil\:\:\mathrm{3}\:\:\:\:\:\:\mathrm{1}\:\:−\mathrm{3}\rceil \\ $$$$\:\:\:\:\:\:\:\mid\:\:\mathrm{1}\:\:\:\:\:\:\mathrm{2a}\:\:\:\mathrm{1}\:\:\mid \\ $$$$\:\:\:\:\:\:\:\lfloor\:\:\mathrm{0}\:\:\:\:\:\:\:\mathrm{2}\:\:\:\:\mathrm{a}\:\rfloor \\ $$$$\:\mathrm{i}.\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{a}\:\mathrm{for}\:\mathrm{which}\:\mathrm{B}\:\mathrm{is}\: \\ $$$$\:\:\:\:\mathrm{singular} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mathrm{ii}.\mathrm{determine}\:\mathrm{whether}\:\mathrm{or}\:\mathrm{not}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\lceil\mathrm{x}\:\rceil\:\:\:\:\:\:\:\:\:\lceil\:−\mathrm{3}.\mathrm{5}\rceil \\…
Question Number 10223 by amir last updated on 30/Jan/17 Answered by mrW1 last updated on 03/Feb/17 $${to}\:{question}\:\mathrm{1}: \\ $$$$ \\ $$$${xy}=\mathrm{1} \\ $$$${y}=\frac{\mathrm{1}}{{x}} \\ $$$${y}'=−\frac{\mathrm{1}}{{x}^{\mathrm{2}}…
Question Number 75756 by 21042004 last updated on 16/Dec/19 $$\underset{{x}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\left(\frac{\mathrm{1}}{\mathrm{2}{x}+\mathrm{1}}\right) \\ $$ Commented by mr W last updated on 17/Dec/19 Terms of Service…
Question Number 141289 by ajfour last updated on 17/May/21 Commented by ajfour last updated on 17/May/21 $$\:\:{x}^{\mathrm{3}} −{x}−{c}=\mathrm{0}\:.\:{To}\:{find}\:{excess}! \\ $$ Answered by ajfour last updated…
Question Number 10216 by konen last updated on 30/Jan/17 $$\frac{\sqrt{\mathrm{2}}\:+\sqrt{\mathrm{4}}+…+\sqrt{\mathrm{28}}}{\:\sqrt{\mathrm{3}}+\sqrt{\mathrm{6}}+…+\sqrt{\mathrm{42}}}=\sqrt{\mathrm{x}}\:\Rightarrow\mathrm{x}=? \\ $$ Answered by nume1114 last updated on 30/Jan/17 $${LHS}=\frac{\underset{{n}=\mathrm{1}} {\overset{\mathrm{14}} {\sum}}\sqrt{\mathrm{2}{n}}}{\underset{{n}=\mathrm{1}} {\overset{\mathrm{14}} {\sum}}\sqrt{\mathrm{3}{n}}} \\…
Question Number 75753 by Emmanuel_N last updated on 16/Dec/19 $$\left(\frac{\left(\mathrm{x}^{\mathrm{1}/\mathrm{3}} +\mathrm{x}^{−\mathrm{1}/\mathrm{3}} \right)^{\mathrm{2}} −\mathrm{2}}{\left(\mathrm{x}^{\mathrm{1}/\mathrm{3}} +\mathrm{x}^{−\mathrm{1}/\mathrm{3}} \right)^{\mathrm{2}} +\mathrm{2}}−\mathrm{x}\right)^{\mathrm{3}/\mathrm{4}} \\ $$ Answered by $@ty@m123 last updated on 16/Dec/19…