Question Number 169362 by Mastermind last updated on 29/Apr/22 $$\int{tan}\left(\mathrm{2}{x}+\mathrm{3}\right){dx} \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered by peter frank last updated on 29/Apr/22 $$\mathrm{let}\:\mathrm{u}=\mathrm{2x}+\mathrm{3}…
Question Number 169358 by Mastermind last updated on 29/Apr/22 $${Differentiate}\:{from}\:{first}\:{principle} \\ $$$${y}=\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{5}} \\ $$ Answered by bobhans last updated on 29/Apr/22 $$\:\:\frac{{dy}}{{dx}}\:=\:\underset{{p}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{f}\left({x}+{p}\right)−{f}\left({x}\right)}{{p}} \\…
Question Number 169347 by Mastermind last updated on 29/Apr/22 $${Differentiate}\:{wrt}\:{x} \\ $$$${y}={sin}^{−\mathrm{1}} \left(\mathrm{2}{x}+\mathrm{1}\right) \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered by Mathspace last updated on…
Question Number 169346 by Mastermind last updated on 29/Apr/22 $${Show}\:{that}\:{substituting}\:{y}={vx}, \\ $$$${x}+{y}\frac{{dy}}{{dx}}={x}\frac{{dy}}{{dx}}−{y}\:{to}\:{a}\:{separable} \\ $$$${equation}\:{for}\:{v}\:{and}\:{x}\:{and}\:{its}\: \\ $$$${solution}\:{is}\:{log}_{{e}} \left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)=\mathrm{2}{tan}^{−\mathrm{1}} \left(\frac{{y}}{{x}}\right) \\ $$$$+{C} \\ $$$$ \\…
Question Number 103808 by Umay last updated on 17/Jul/20 $${muhun}\:{kitu}\:{pisan} \\ $$ Commented by bemath last updated on 17/Jul/20 $${translate} \\ $$ Terms of Service…
Question Number 169333 by Mastermind last updated on 28/Apr/22 $${Show}\:{that}\:{if}\:{y}={C}_{\mathrm{1}} {sinx}\:+\:{C}_{\mathrm{2}} {x}\:{then} \\ $$$$\left(\mathrm{1}+{xcotx}\right)\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }−{x}\frac{{dy}}{{dx}}+{y}=\mathrm{0} \\ $$$$ \\ $$$${Mastermind} \\ $$ Commented by som(math1967)…
Question Number 169342 by Mastermind last updated on 29/Apr/22 $${Obtain}\:{the}\:{differential}\:{equation} \\ $$$${associated}\:{with}\:{the}\:{primitive} \\ $$$${y}\:=\:{Ae}^{\mathrm{2}{x}} +{Be}^{{x}} +{C} \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered by cortano1…
Question Number 38250 by Rio Mike last updated on 23/Jun/18 $$\:\:{It}\:{is}\:{given}\:{that}\:{the}\:{first}\:{term}\:{of} \\ $$$${a}\:{GP}\:\:{is}\:{the}\:{last}\:{term}\:{of}\:{an}\:{AP}. \\ $$$${the}\:{second}\:{term}\:{of}\:{the}\:{AP}\:{is}\:{the} \\ $$$${third}\:{term}\:{of}\:{the}\:{GP}..{detemine} \\ $$$${the}\:{Geometric}\:{mean}\:{of}\:{the}\:{GP}\:{is}\: \\ $$$$\:{the}\:{fourth}\:{term}\:{of}\:{the}\:{GP}\:{is}\:\mathrm{16}. \\ $$ Terms of…
Question Number 38252 by Rio Mike last updated on 23/Jun/18 $${if}\:{x}^{\mathrm{2}} \:+\:\mathrm{3}{xy}\:−\:{y}^{\mathrm{2}} \:=\:\mathrm{3}\:{find}\: \\ $$$$\frac{{dy}}{{dx}}\:{at}\:{point}\:\left(\mathrm{1},\mathrm{1}\right)\:{hence} \\ $$$${differentiate}\:\frac{{sin}\:{x}}{\mathrm{1}\:+\:{x}}\:{with}\:{respect} \\ $$$${to}\:{x}. \\ $$ Commented by math khazana…
Question Number 169315 by Mastermind last updated on 28/Apr/22 $${lim}_{{x}\rightarrow\infty} \left(\frac{\mathrm{1}+\sqrt{{x}+\mathrm{2}}}{\mathrm{1}−\sqrt{{x}+\mathrm{2}}}\right) \\ $$$$ \\ $$$${Mastermind} \\ $$ Commented by infinityaction last updated on 28/Apr/22 $$\:\:\:\:\:\:\:{p}\:=\underset{{x}\rightarrow\infty}…