Question Number 128755 by bramlexs22 last updated on 10/Jan/21 $$\mathrm{Solve}\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}−\mathrm{1}\right)+\mathrm{tan}^{−\mathrm{1}} \mathrm{x}\:+\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}+\mathrm{1}\right)\:=\:\mathrm{tan}^{−\mathrm{1}} \mathrm{3x} \\ $$ Answered by liberty last updated on 10/Jan/21 $$''\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}−\mathrm{1}\right)+\mathrm{tan}^{−\mathrm{1}}…
Question Number 63218 by ajfour last updated on 30/Jun/19 $${Q}.\mathrm{63108}\:\:\:\left({A}\:{check}\right) \\ $$$${eq}.\:{of}\:{ellipse} \\ $$$$\frac{{x}^{\mathrm{2}} }{\mathrm{4}}+{y}^{\mathrm{2}} =\mathrm{1} \\ $$$${Inscribed}\:{equilateral}\:\bigtriangleup{ABC} \\ $$$${of}\:{side}\:\boldsymbol{{s}}=\frac{\mathrm{16}\sqrt{\mathrm{6}}}{\:\sqrt{\mathrm{365}}} \\ $$$${Do}\:{these}\:{points}\:{satisfy}\:{for} \\ $$$${A},\:{B},\:{C}\:? \\…
Question Number 128752 by naka3546 last updated on 10/Jan/21 $$\int\:\:\frac{{dx}}{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{12}{x}+\mathrm{9}}\:\:=\:\:\:? \\ $$ Answered by mr W last updated on 10/Jan/21 $$\int\frac{{dx}}{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{12}{x}+\mathrm{9}} \\ $$$$=\int\frac{{dx}}{\mathrm{2}\left({x}+\mathrm{3}\right)^{\mathrm{2}}…
Question Number 128753 by bramlexs22 last updated on 10/Jan/21 $$\mathrm{Find}\:\mathrm{maximum}\:\mathrm{and}\:\mathrm{minimum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{27}^{\mathrm{cos}\:\mathrm{2x}} .\:\mathrm{81}^{\mathrm{sin}\:\mathrm{2x}} \:? \\ $$ Answered by liberty last updated on 10/Jan/21 $$\:\Leftrightarrow\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{3}^{\mathrm{3cos}\:\mathrm{2x}} .\:\mathrm{3}^{\mathrm{4sin}\:\mathrm{2x}}…
Question Number 128750 by bemath last updated on 10/Jan/21 $$\mathrm{Given}\:\mathrm{a}\:\mathrm{function}\:\mathrm{f}\:\mathrm{satisfy}\:\mathrm{f}\left(−\mathrm{x}\right)=\mathrm{3f}\left(\mathrm{x}\right). \\ $$$$\mathrm{If}\:\int_{−\mathrm{1}} ^{\:\mathrm{2}} \mathrm{f}\left(\mathrm{x}\right)\:\mathrm{dx}\:=\:\mathrm{2}\:\mathrm{then}\:\int_{−\mathrm{2}} ^{\:\mathrm{1}} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=? \\ $$ Commented by mr W last updated on…
Question Number 63215 by mathmax by abdo last updated on 30/Jun/19 $${calculate}\:{lim}_{{n}\rightarrow+\infty} \left\{{n}\:\left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{{n}} −{en}\right\} \\ $$ Commented by mathmax by abdo last updated on 01/Jul/19…
Question Number 128751 by bemath last updated on 10/Jan/21 $$\mathrm{Find}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\:\mid\mathrm{x}\mid\:\sqrt{\mathrm{16}−\mathrm{y}^{\mathrm{2}} }\:+\:\mid\mathrm{y}\mid\:\sqrt{\mathrm{4}−\mathrm{x}^{\mathrm{2}} }\:\mathrm{for}\:\mathrm{all}\:\mathrm{real}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}. \\ $$$$ \\ $$ Answered by mr W last updated on…
Question Number 63214 by mathmax by abdo last updated on 30/Jun/19 $${calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:{x}\:{e}^{−\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }} \:\:{sin}\left({bx}\right){dx}\:\:{with}\:\:{a}>\mathrm{0}\:{and}\:{b}>\mathrm{0} \\ $$ Commented by mathmax by abdo last…
Question Number 128749 by n0y0n last updated on 10/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 128745 by shaker last updated on 10/Jan/21 Answered by liberty last updated on 10/Jan/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\left(\mathrm{1}+\mathrm{mnx}+\frac{\mathrm{n}\left(\mathrm{n}−\mathrm{1}\right)}{\mathrm{2}}\mathrm{m}^{\mathrm{2}} \mathrm{x}^{\mathrm{2}} \right)−\left(\mathrm{1}+\mathrm{mnx}+\frac{\mathrm{m}\left(\mathrm{m}−\mathrm{1}\right)}{\mathrm{2}}\mathrm{n}^{\mathrm{2}} \mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{2}} }= \\ $$$$\frac{\mathrm{m}^{\mathrm{2}}…