Question Number 125548 by Don08q last updated on 12/Dec/20 $$\mathrm{How}\:\mathrm{many}\:\mathrm{four}−\mathrm{digit}\:\mathrm{numbers}\: \\ $$$$\mathrm{between}\:\mathrm{2000}\:\mathrm{and}\:\mathrm{4000}\:\mathrm{can}\:\mathrm{be}\:\mathrm{formed} \\ $$$$\mathrm{from}\:\mathrm{the}\:\mathrm{numbers}\:\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{4}\:\mathrm{and}\:\mathrm{5}\: \\ $$$$\mathrm{if}\:\mathrm{repitition}\:\mathrm{is}\:\mathrm{allowed}? \\ $$ Commented by liberty last updated on 13/Dec/20…
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Question Number 60010 by naka3546 last updated on 17/May/19 Commented by naka3546 last updated on 17/May/19 $${FOE}\:\:\:{collinear}\:\:? \\ $$ Answered by tanmay last updated on…
Question Number 191077 by Shrinava last updated on 17/Apr/23 $$\overset{\rightarrow} {\mathrm{a}}\:\centerdot\:\overset{\rightarrow} {\mathrm{b}}\:=\:\mathrm{4} \\ $$$$\overset{\rightarrow} {\mathrm{b}}\:\centerdot\:\overset{\rightarrow} {\mathrm{c}}\:=\:\mathrm{5} \\ $$$$\overset{\rightarrow} {\mathrm{7a}}\:=\:\overset{\rightarrow} {\mathrm{4b}}\:+\:\overset{\rightarrow} {\mathrm{2c}}\:\: \\ $$$$\mathrm{Find}:\:\:\:\mid\overset{\rightarrow} {\mathrm{c}}\:\mid\:=\:? \\…
Question Number 125542 by TITA last updated on 11/Dec/20 $$\int{x}^{\mathrm{7}} \sqrt{\mathrm{1}−{x}^{\mathrm{3}} }{dx}=? \\ $$ Commented by TITA last updated on 11/Dec/20 $${please}\:{help} \\ $$ Answered…
Question Number 60007 by meme last updated on 17/May/19 $${df}\:{of}\:{f}\left({x}\right)={x}^{{x}} {y}^{{y}} \\ $$ Answered by alex041103 last updated on 18/May/19 $${if}\:{you}\:{mean}\:{f}\left({x},{y}\right)={x}^{{x}} {y}^{{y}} \:{then} \\ $$$${df}=\frac{\partial{f}}{\partial{x}}{dx}+\frac{\partial{f}}{\partial{y}}{dy}=…
Question Number 191076 by Mingma last updated on 17/Apr/23 Answered by mr W last updated on 18/Apr/23 $${touching}\:{point}\:{P}\left({p},\frac{\mathrm{1}}{{p}^{\mathrm{2}} }\right) \\ $$$$\mathrm{tan}\:\theta=−\frac{{dy}}{{dx}}=\frac{\mathrm{2}}{{p}^{\mathrm{3}} } \\ $$$${r}={p}−{r}\:\mathrm{sin}\:\theta={p}−\frac{\mathrm{2}{r}}{\:\sqrt{\mathrm{4}+{p}^{\mathrm{6}} }}…
Question Number 60006 by meme last updated on 17/May/19 $${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\frac{{x}^{{x}} }{{x}}=? \\ $$ Commented by maxmathsup by imad last updated on 17/May/19 $${let}\:{A}\left({x}\right)\:=\frac{{x}^{{x}} }{{x}}\:\:\:{for}\:{x}>\mathrm{0}\:\Rightarrow{A}\left({x}\right)\:=\frac{{e}^{{xln}\left({x}\right)}…
Question Number 191078 by sciencestudentW last updated on 17/Apr/23 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}−{sinx}}{{x}^{\mathrm{3}} }=? \\ $$$${solve}\:{without}\:{hopital}\:{and}\:{any}\:{series}. \\ $$ Answered by mehdee42 last updated on 17/Apr/23 $${if}\:{x}\rightarrow\mathrm{0}\:\:\Rightarrow{x}−{sinx}\:\sim\:\frac{\mathrm{1}}{\mathrm{6}}{x}^{\mathrm{3}} \\…
Question Number 125538 by Mammadli last updated on 11/Dec/20 $$\sqrt{−\boldsymbol{{z}}}\:=\:\boldsymbol{{z}}\:+\:\mathrm{6}\:;\:\left(\boldsymbol{{z}}=?\right) \\ $$ Answered by mr W last updated on 12/Dec/20 $${let}\:{x}=\sqrt{−{z}}>\mathrm{0} \\ $$$$\Rightarrow{z}=−{x}^{\mathrm{2}} \\ $$$$\Rightarrow{x}=−{x}^{\mathrm{2}}…