Question Number 156776 by mnjuly1970 last updated on 15/Oct/21 $$ \\ $$$$\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left({n}\:{ln}\left(\frac{\mathrm{2}{n}+\mathrm{1}}{\mathrm{2}{n}−\mathrm{1}}\right)\:−\mathrm{1}\right)=? \\ $$$$ \\ $$ Commented by CAIMAN last updated on 15/Oct/21…
Question Number 91185 by Tony Lin last updated on 28/Apr/20 $${f}\left({x}\right)=\left({x}−\mathrm{3}\right)^{\mathrm{5}} {ln}\left(\mathrm{1}+{x}\right) \\ $$$${f}^{\left(\mathrm{2020}\right)} \left(\mathrm{3}\right)=? \\ $$ Commented by Tony Lin last updated on 28/Apr/20…
Question Number 25572 by hoangnampham13 last updated on 11/Dec/17 $${Solve}\:{the}\:{differential}\:{equation}: \\ $$$${y}'\:=\:{cosh}\left({x}+{y}\right) \\ $$ Answered by prakash jain last updated on 11/Dec/17 $${y}'\:=\:{cosh}\left({x}+{y}\right)\:\:\:\left({A}\right) \\ $$$${u}\left({x}\right)={y}\left({x}\right)+{x}…
Question Number 156617 by mnjuly1970 last updated on 13/Oct/21 Answered by mindispower last updated on 14/Oct/21 $${e}^{−{x}} ={t} \\ $$$$=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{ln}\left(\mathrm{1}+{t}\right)\left(\mathrm{1}−{t}\right)}{\mathrm{1}+{t}}.\frac{{dt}}{{t}} \\ $$$$=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 25528 by Mahesh Andiboina last updated on 11/Dec/17 Commented by Mahesh Andiboina last updated on 11/Dec/17 $$\mathrm{plz}\:\mathrm{ans}\:\mathrm{both} \\ $$ Answered by sushmitak last…
Question Number 25520 by Mahesh Andiboina last updated on 11/Dec/17 Commented by Mahesh Andiboina last updated on 11/Dec/17 $$\mathrm{plzz}\:\mathrm{ans}\:\mathrm{both} \\ $$ Answered by prakash jain…
Question Number 25521 by Mahesh Andiboina last updated on 11/Dec/17 Answered by sushmitak last updated on 11/Dec/17 $$\mathrm{16} \\ $$$$\frac{{dy}}{{dx}}=\frac{{dy}/{dt}}{{dx}/{dt}}=\frac{\frac{{d}}{{dt}}\left(\mathrm{2}{at}\right)}{\frac{{d}}{{dt}}\left({at}^{\mathrm{2}} \right)}=\frac{\mathrm{2}{a}}{\mathrm{2}{at}}=\frac{\mathrm{1}}{{t}} \\ $$$$\mathrm{17} \\ $$$$\frac{{dy}}{{dx}}=\frac{{dy}/{dt}}{{dx}/{dt}}=\frac{\frac{{d}}{{dt}}\left({t}^{\mathrm{2}}…
Question Number 25519 by Mahesh Andiboina last updated on 11/Dec/17 Commented by Mahesh Andiboina last updated on 11/Dec/17 $$\mathrm{plz}\:\mathrm{ans}\:\mathrm{both} \\ $$ Answered by sudhanshur last…
Question Number 156584 by Ghaniy last updated on 12/Oct/21 $$\mathrm{find}\:\mathrm{p}\:\mathrm{if}\:\mathrm{y}=\mathrm{1}−\mathrm{px}−\mathrm{3x}^{\mathrm{2}} \\ $$$$\mathrm{if}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{is}\:\mathrm{13}\:\:\left(\mathrm{help}\:\mathrm{pls}\right) \\ $$ Commented by john_santu last updated on 14/Oct/21 $${max}\:{f}\left({x}\right)=−\mathrm{3}{x}^{\mathrm{2}} −{px}+\mathrm{1} \\ $$$${when}\:{x}=−\left(\frac{−{p}}{\mathrm{2}\left(−\mathrm{3}\right)}\right)=−\frac{{p}}{\mathrm{6}}…
Question Number 91036 by niroj last updated on 27/Apr/20 $$\:\mathrm{Solve}: \\ $$$$\:\:\left(\mathrm{x}+\mathrm{a}\right)^{\mathrm{2}} \frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }−\mathrm{4}\left(\mathrm{x}+\mathrm{a}\right)\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{6y}=\:\mathrm{x} \\ $$ Answered by MWSuSon last updated on 27/Apr/20 $${let}\:{x}+{a}={e}^{{z}}…