Question Number 148534 by ajfour last updated on 28/Jul/21 Commented by ajfour last updated on 28/Jul/21 $${Find}\:\phi_{{avg}} \:\:{in}\:{terms}\:{of}\:\theta. \\ $$ Commented by MJS_new last updated…
Question Number 82995 by M±th+et£s last updated on 26/Feb/20 Commented by mr W last updated on 26/Feb/20 $${a}_{\mathrm{1000}} =\frac{\mathrm{1}}{\mathrm{499501}}\:? \\ $$ Answered by mind is…
Question Number 82993 by aseer imad last updated on 26/Feb/20 Answered by TANMAY PANACEA last updated on 27/Feb/20 $$\left({x}+{y}\right)^{{x}+{y}} ={x}^{{y}} +{y}^{{x}} \\ $$$${a}={b}+{c} \\ $$$$\frac{{da}}{{dx}}=\frac{{db}}{{dx}}+\frac{{dc}}{{dx}}…
Question Number 148525 by nadovic last updated on 28/Jul/21 $$\:\mathrm{Express}\:\:\frac{\sqrt{\mathrm{15}}+\sqrt{\mathrm{35}}+\sqrt{\mathrm{21}}+\mathrm{5}}{\:\sqrt{\mathrm{3}}+\mathrm{2}\sqrt{\mathrm{5}}+\sqrt{\mathrm{7}}}\:\mathrm{in}\:\mathrm{the}\:\mathrm{form} \\ $$$$\:{a}\sqrt{\mathrm{3}\:}+\:{b}\sqrt{\mathrm{7}}. \\ $$ Answered by Ar Brandon last updated on 28/Jul/21 $$\frac{\sqrt{\mathrm{15}}+\sqrt{\mathrm{35}}+\sqrt{\mathrm{21}}+\mathrm{5}}{\:\sqrt{\mathrm{3}}+\mathrm{2}\sqrt{\mathrm{5}}+\sqrt{\mathrm{7}}} \\ $$$$=\frac{\sqrt{\mathrm{3}}\centerdot\sqrt{\mathrm{5}}+\sqrt{\mathrm{7}}\centerdot\sqrt{\mathrm{5}}+\sqrt{\mathrm{3}}\centerdot\sqrt{\mathrm{7}}+\sqrt{\mathrm{5}}\overset{\mathrm{2}}…
Question Number 82991 by ahmadshahhimat775@gmail.com last updated on 26/Feb/20 Commented by mr W last updated on 26/Feb/20 $$\mathrm{11}^{\mathrm{800}} \:{mod}\:\mathrm{9} \\ $$$$=\mathrm{2}^{\mathrm{800}} \:{mod}\:\mathrm{9} \\ $$$$=\mathrm{7}^{\mathrm{200}} \:{mod}\:\mathrm{9}…
Question Number 17454 by Tinkutara last updated on 06/Jul/17 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{integers}\:{n}\:\mathrm{such}\:\mathrm{that} \\ $$$$\left({n}^{\mathrm{2}} \:−\:{n}\:−\:\mathrm{1}\right)^{{n}\:+\:\mathrm{2}} \:=\:\mathrm{1} \\ $$ Answered by mrW1 last updated on 06/Jul/17 $$\mathrm{n}^{\mathrm{2}} −\mathrm{n}−\mathrm{1}=\mathrm{1}\:\mathrm{if}\:\mathrm{n}\:\mathrm{is}\:\mathrm{odd}\:\mathrm{or}\:\mathrm{even}\:\:\left(\mathrm{i}\right)…
Question Number 82988 by jagoll last updated on 26/Feb/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} \:}\mathrm{cos}\:\mathrm{x}}{\mathrm{x}^{\mathrm{4}} } \\ $$ Commented by jagoll last updated on 26/Feb/20 $$\mathrm{my}\:\mathrm{answer}\:\mathrm{is}\:\frac{\mathrm{1}}{\mathrm{3}}.\:\mathrm{that}\:\mathrm{is}\:\mathrm{correct}? \\ $$…
Question Number 17449 by ajfour last updated on 06/Jul/17 $$\mathrm{Between}\:\mathrm{2}:\mathrm{00}\:\mathrm{and}\:\mathrm{2}:\mathrm{15},\:\mathrm{what}\:\mathrm{time} \\ $$$$\mathrm{is}\:\mathrm{it}\:\mathrm{exactly}\:\mathrm{when}\:\mathrm{the}\:\mathrm{hour}, \\ $$$$\mathrm{minute},\:\mathrm{and}\:\mathrm{second}'\mathrm{s}\:\mathrm{hand}\:\mathrm{of}\:\mathrm{a} \\ $$$$\mathrm{clock}\:\mathrm{occupy}\:\mathrm{the}\:\mathrm{same}\:\mathrm{angular} \\ $$$$\mathrm{position}. \\ $$$$ \\ $$ Commented by mrW1…
Question Number 148522 by mathdanisur last updated on 28/Jul/21 Answered by Rasheed.Sindhi last updated on 29/Jul/21 $${P}\left({x}\right)=\mathrm{16}{x}^{\mathrm{2}} +\mathrm{24}{x}+\mathrm{9} \\ $$$${Q}\left({x}\right)={x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{2} \\ $$$${If}\:{x}=−\mathrm{1}.\mathrm{25} \\…
Question Number 82985 by M±th+et£s last updated on 26/Feb/20 Answered by ~blr237~ last updated on 26/Feb/20 $$\:{let}\:{n}\geqslant\mathrm{2}\:,\:\:{b}_{{n}} \neq\mathrm{0}\:\:\:{cause}\:\:{a}+{b}\neq\mathrm{0}\:\:{and}\:\:\mathrm{0}<{a}<{b} \\ $$$$\:{we}\:{have}\:\:\:{a}_{{n}} =\frac{{b}_{{n}} ^{\mathrm{2}} }{{b}_{{n}−\mathrm{1}} }\:\:{and}\:\:{b}_{{n}−\mathrm{1}} =\:\mathrm{2}{a}_{{n}}…