Question Number 196638 by mr W last updated on 28/Aug/23 $${find}\:{the}\:{sum}\:{of}\:{the}\:{all}\:\mathrm{168}\:{prime} \\ $$$${numbers}\:{from}\:\mathrm{1}\:{to}\:\mathrm{1000}. \\ $$$$\left.\mathrm{1}\right)\:\mathrm{13245} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{52788} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{76127} \\ $$$$\left.\mathrm{4}\right)\:\mathrm{86344} \\ $$ Commented by…
Question Number 196258 by York12 last updated on 21/Aug/23 $${If}\left({x}_{{m}} +{iy}_{{m}} \right)^{\mathrm{2}{n}+\mathrm{1}} =\mathrm{1}\:,\:{such}\:{that} \\ $$$${m}\in\left\{\mathrm{1},\mathrm{2},\mathrm{3},….,\mathrm{2}{n}\right\}\:\wedge\:{x}_{{m}} ,{y}_{{m}} \in\mathbb{R} \\ $$$${p}=\underset{{k}=\mathrm{1}} {\overset{\mathrm{2020}} {\sum}}\left[\frac{\mathrm{1}−{x}_{{k}} +{iy}_{{k}} }{\mathrm{1}+{x}_{{k}} +{iy}_{{k}} }\right]\:,\:{Find}\:\left(\frac{{p}}{\mathrm{43}}\right)…
Question Number 196107 by maths_plus last updated on 18/Aug/23 $$ \\ $$$$\mathrm{help},\:\mathrm{please}\:! \\ $$$$\underset{{x}\:\rightarrow\:\frac{\boldsymbol{\pi}}{\mathrm{4}}} {{lim}}\:\frac{{cos}\left(\frac{\boldsymbol{\pi}}{\mathrm{4}}\:−{x}\right)−{tan}\:{x}}{\mathrm{1}−{sin}\left(\frac{\boldsymbol{\pi}}{\mathrm{4}}+{x}\right)}\:=\:???\: \\ $$ Answered by MM42 last updated on 21/Aug/23 $${hop}\rightarrow{lim}_{{x}\rightarrow\frac{\pi}{\mathrm{4}}}…
Question Number 195560 by York12 last updated on 05/Aug/23 $$ \\ $$ Commented by mr W last updated on 05/Aug/23 $${why}\:{did}\:{you}\:{delete}\:{the}\:{question}\:{sir}? \\ $$ Answered by…
Question Number 195390 by mathlove last updated on 01/Aug/23 $${which}\:{prime}\:{number}\:{between} \\ $$$${the}\:\:\mathrm{20}\:\:{and}\:\:\:\:\mathrm{1000}\:\:\: \\ $$ Answered by BaliramKumar last updated on 01/Aug/23 $$\mathrm{1}\:\mathrm{to}\:\mathrm{1000}\:=\:\mathrm{168}\:\mathrm{prime}\:\mathrm{numbers} \\ $$$$\mathrm{1}\:\mathrm{to}\:\mathrm{20}\:=\:\mathrm{8}\:\mathrm{prime}\:\mathrm{numbers} \\…
Question Number 195192 by mustafazaheen last updated on 26/Jul/23 $$ \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\mathrm{sinx}+\frac{\pi}{\mathrm{2}}\right)^{\mathrm{x}} =? \\ $$ Answered by MM42 last updated on 26/Jul/23 $${sinx}+\frac{\pi}{\mathrm{2}}>\mathrm{1} \\…
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Question Number 194552 by BaliramKumar last updated on 09/Jul/23 $$\mathrm{If}\:{a},\:{b}\:\mathrm{are}\:\mathrm{real}\:\mathrm{numbers}\:\&\:\mathrm{4cos}^{\mathrm{2}} \theta\:=\:\frac{\mathrm{4}{a}^{\mathrm{2}} +\mathrm{9}{b}^{\mathrm{2}} +\mathrm{5}}{{a}+\mathrm{3}{b}},\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\left({a}+{b}\right)\:\mathrm{will}\:\mathrm{be}: \\ $$$$\left(\mathrm{a}\right)\:\frac{\mathrm{7}}{\mathrm{6}}\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:\frac{\mathrm{5}}{\mathrm{4}}\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\:\frac{\mathrm{11}}{\mathrm{6}}\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\:\frac{\mathrm{17}}{\mathrm{12}} \\ $$ Commented by Frix last updated on…
Question Number 194528 by BaliramKumar last updated on 09/Jul/23 $$\bigstar\:\mathrm{Let}\:\mathrm{N}\:\mathrm{be}\:\mathrm{a}\:\mathrm{natural}\:\mathrm{number}\:\mathrm{where}\:\mathrm{N}\leq\mathrm{100}. \\ $$$$\:\:\:\:\:\:\:\:\mathrm{If}\:\mathrm{HCF}\left(\mathrm{N},\:\mathrm{100}\right)\:=\:\mathrm{1}\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\: \\ $$$$\:\:\:\:\:\:\:\:\mathrm{all}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\:\mathrm{N}\:? \\ $$$$\:\:\:\:\:\:\:\left(\mathrm{a}\right)\:\mathrm{400}\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{1000}\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{2000}\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{4000} \\ $$ Answered by mahdipoor last updated on 09/Jul/23…