Question Number 132255 by aurpeyz last updated on 12/Feb/21 $${A}\:{ray}\:{of}\:{light}\:{is}\:{incident}\:{at}\:\mathrm{60}^{\mathrm{0}} \:{at}\:{an} \\ $$$${air}−{glass}\:{plane}\:{surface}.\:{find}\:{the}\: \\ $$$${angle}\:{of}\:{refraction}\:{in}\:{the}\:{glass}\left(\right. \\ $$$$\left.{refractive}\:{index}\:{for}\:{glass}=\mathrm{1}.\mathrm{5}\right) \\ $$$$\left({a}\right)\:\mathrm{25}.\mathrm{3}\:\left({b}\right)\:\mathrm{35}.\mathrm{3}\:\left({c}\right)\:\mathrm{15}.\mathrm{3}\:\left({d}\right)\mathrm{30} \\ $$ Commented by Dwaipayan Shikari…
Question Number 1181 by 22 last updated on 11/Jul/15 $$\sqrt{\mathrm{2}+\sqrt{\mathrm{2}}}=? \\ $$ Answered by Rasheed Ahmad last updated on 24/Jul/15 $${In}\:{certain}\:{cases}\:\sqrt{{a}+{b}\sqrt{{c}}\:}\:{can}\:{be} \\ $$$${simplified}\:{into}\:{p}+{q}\sqrt{{c}}\:{form}\left({not}\right. \\ $$$$\left.{in}\:{all}\:{cases}\right).\:{The}\:{procedure}\:{is}\:{as}…
Question Number 1180 by 934111 last updated on 11/Jul/15 $${f}\left({x}^{\mathrm{2}} \right)−{f}\left({x}\right)=\mathrm{1} \\ $$ Commented by 123456 last updated on 11/Jul/15 $$\left\{\mathrm{0},\mathrm{1}\right\}\notin\mathrm{D}\left({f}\right) \\ $$ Answered by…
Question Number 132248 by aurpeyz last updated on 12/Feb/21 $$ \\ $$$${In}\:{a}\:\mathrm{60}^{\mathrm{0}} \:{prism}\:{of}\:{refractive}\:{index}\:\mathrm{1}.\mathrm{5} \\ $$$${calculate}\:{the}\:{angle}\:{of}\:{minimum}\: \\ $$$${deviation}\:{when}\:{light}\:{is}\:{refracted} \\ $$$${throuh}\:{the}\:{prism} \\ $$$$\left({a}\right)\:\mathrm{40}.\mathrm{2}\:\left({b}\right)\:\mathrm{37}.\mathrm{5}\:\left({c}\right)\:\mathrm{37}.\mathrm{2}\:\left({d}\right)\:\mathrm{40}.\mathrm{5}\:\left({e}\right)\mathrm{40}.\mathrm{6} \\ $$ Commented by…
Question Number 66715 by mr W last updated on 18/Aug/19 $${if}\:{f}\left({x}\right)=\frac{\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }} \\ $$$${f}^{−\mathrm{1}} \left({x}\right)=? \\ $$ Commented by Tony Lin last updated on…
Question Number 132251 by Arijit last updated on 12/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 132250 by Arijit last updated on 12/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1171 by 112358 last updated on 09/Jul/15 $${What}\:{is}\:{the}\:{set}\:\mathbb{Z}_{\mathrm{8}} −\left\{\mathrm{0}\right\}?\:{I}\:{met} \\ $$$${this}\:{notation}\:{in}\:{a}\:{question}\:{asking} \\ $$$${whether}\:{or}\:{not}\:{the}\:{set}\:\mathbb{Z}_{\mathrm{8}} −\left\{\mathrm{0}\right\} \\ $$$${forms}\:{a}\:{group}\:{under}\: \\ $$$${multiplication}\:\left({mod}\:\mathrm{8}\right). \\ $$ Answered by 123456…
Question Number 132240 by bemath last updated on 12/Feb/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:\left(\mathrm{2x}+\frac{\pi}{\mathrm{4}}\right)−\mathrm{2tan}\:\left(\mathrm{x}+\frac{\pi}{\mathrm{4}}\right)+\mathrm{tan}\:\frac{\pi}{\mathrm{4}}}{\mathrm{sin}\:\left(\mathrm{2x}+\frac{\pi}{\mathrm{4}}\right)−\mathrm{2sin}\:\left(\mathrm{x}+\frac{\pi}{\mathrm{4}}\right)+\mathrm{sin}\:\frac{\pi}{\mathrm{4}}}\:? \\ $$$$ \\ $$ Answered by EDWIN88 last updated on 13/Feb/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2sec}\:^{\mathrm{2}} \left(\mathrm{2x}+\frac{\pi}{\mathrm{4}}\right)−\mathrm{2sec}\:^{\mathrm{2}}…
Question Number 1164 by 112358 last updated on 08/Jul/15 $${How}\:{many}\:{five}\:{digit}\:{numbers} \\ $$$${exist}\:{such}\:{that}\:{the}\:{sum}\:{of}\:{their} \\ $$$${digits}\:{equals}\:\mathrm{43}?\: \\ $$$${How}\:{many}\:{exist}\:{if}\:{the}\:{sum}\:{is} \\ $$$$\mathrm{39}? \\ $$$$ \\ $$ Commented by 123456…