Category: Others

Question Number 69765 by Rio Michael last updated on 27/Sep/19 $${Given}\:{that}\:\:{y}\:=\:\sqrt{\mathrm{5}{x}^{\mathrm{2}} \:+\:\mathrm{3}}\:,\:{show}\:{that}\:\:{when}\:{x}^{\mathrm{2}} \:=\:\frac{\mathrm{6}}{\mathrm{5}}\:,\:\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}\:} }\:=\:\frac{\mathrm{125}}{\mathrm{8}} \\ $$ Answered by MJS last updated on 27/Sep/19 $${y}=\sqrt{\mathrm{5}{x}^{\mathrm{2}}…

Question Number 69763 by Rio Michael last updated on 27/Sep/19 $${find}\:\frac{{dy}}{{dx}}\:\:{if}\:\:{y}\:=\:\mathrm{3}^{{x}} {e}^{\mathrm{2}{x}\:+\:\mathrm{1}} ,\:{at}\:{x}\:=\mathrm{1} \\ $$ Commented by mathmax by abdo last updated on 16/Oct/19 $${y}\left({x}\right)={e}^{{xln}\mathrm{3}+\mathrm{2}{x}+\mathrm{1}}…

Question Number 4222 by Rasheed Soomro last updated on 02/Jan/16 $${Six}\:{free}-{hand}\:{lines}\:{are}\:{drawn}\:{inside} \\ $$$${a}\:{circle}\:{in}\:{order}\:{to}\:{divide}\:{it}\:{into}\:{maximum} \\ $$$${number}\:{of}\:{parts}.{Determine}\:{this}\:{number}. \\ $$$${Note}\:{that}\:{a}\:{free}-{hand}\:{line}\:{has}\:{following} \\ $$$$\:{three}\:\:{properties}: \\ $$$$\left.{i}\right)\:{It}\:{doesn}'{t}\:{cut}\:\:{itself}. \\ $$$$\left.{ii}\right){It}\:{joins}\:{two}\:{points}\:{of}\:{circle}. \\ $$$$\left.{iii}\right)\:{It}\:{can}\:{cut}\:{another}\:{line}\:{at}\:{most}\:{at}\:{three}…

Question Number 69715 by Mikaell last updated on 26/Sep/19 $$\int\frac{{x}^{\mathrm{2}} +\mathrm{1}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} }{e}^{{x}} {dx} \\ $$ Answered by mind is power last updated on 27/Sep/19 $$\int\frac{{x}^{\mathrm{2}}…

Question Number 4158 by 123456 last updated on 30/Dec/15 $$\mathrm{if} \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{{f}\left({x}\right)}{{g}\left({x}\right)}=\mathrm{1} \\ $$$$\mathrm{does} \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}{f}\left({x}\right)−{g}\left({x}\right)=\mathrm{0}? \\ $$ Commented by 123456 last updated…