Question Number 135689 by joki last updated on 15/Mar/21 $$\mathrm{0},….,….,\frac{\mathrm{5}}{\mathrm{4}},\frac{\mathrm{4}}{\mathrm{5}},…. \\ $$$$\mathrm{how}\:\mathrm{to}\:\mathrm{solution}\:\mathrm{aritmatic} \\ $$ Commented by liberty last updated on 15/Mar/21 $${AP}\:? \\ $$ Commented…
Question Number 135685 by Abdoulaye last updated on 15/Mar/21 $${help}\:{me}\:{please} \\ $$$$ \\ $$$$\int{ln}\left({tan}\left({x}\right)\right){dx}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 70150 by necxxx last updated on 01/Oct/19 $${prove}\:{that}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{\left(\mathrm{4}−{sin}^{\mathrm{2}} {x}\right)}{dx}\:<\:\frac{\pi\sqrt{\mathrm{14}}}{\mathrm{4}} \\ $$ Commented by necxxx last updated on 01/Oct/19 $${please}\:{help} \\ $$…
Question Number 4615 by love math last updated on 14/Feb/16 $$\mathrm{2}^{{log}_{\mathrm{0}.\mathrm{5}} ^{\mathrm{2}} {x}} +{x}^{{log}_{\mathrm{0}.\mathrm{5}} {x}} >\mathrm{2}.\mathrm{5} \\ $$ Answered by Yozzii last updated on 14/Feb/16…
Question Number 4614 by love math last updated on 14/Feb/16 $$\sqrt{{x}^{{log}_{\mathrm{2}} \sqrt{{x}}} }>\mathrm{2} \\ $$ Commented by Yozzii last updated on 14/Feb/16 $${Squaring}\:{both}\:{sides}\:{of}\:{the}\:{given}\: \\ $$$${inequality}\:{yields}\:{the}\:{following}.…
Question Number 4612 by Rasheed Soomro last updated on 14/Feb/16 Commented by Rasheed Soomro last updated on 14/Feb/16 $$\:{A}\:\:{triangle}\:{divides}\:\:{its} \\ $$$${circum}-{circle}\:{in}\:{three}\:{arcs} \\ $$$${say}\:\:\boldsymbol{\mathrm{c}}_{\mathrm{1}} ,\boldsymbol{\mathrm{c}}_{\mathrm{2}} ,\boldsymbol{\mathrm{c}}_{\mathrm{3}}…
Question Number 70147 by Maclaurin Stickker last updated on 01/Oct/19 $${Consider}\:{the}\:{functions}\: \\ $$$${f}\left({x}\right)=\mathrm{5}×\mathrm{4}^{−{x}} \:{and}\:{g}\left({x}\right)=\left(\mathrm{0}.\mathrm{25}\right)^{\mathrm{2}{x}} +\mathrm{4} \\ $$$${For}\:{what}\:{values}\:{of}\:{x}\:{do}\:{these}\: \\ $$$${functions}\:{assume}\:{equal}\:{values}? \\ $$ Commented by kaivan.ahmadi last…
Question Number 135682 by liberty last updated on 15/Mar/21 $$\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{{k}^{\mathrm{3}} +\mathrm{2}{k}}{{k}^{\mathrm{2}} +\mathrm{6}{k}+\mathrm{9}}\:=? \\ $$ Answered by abdullahoudou last updated on 15/Mar/21 $$\infty \\…
Question Number 70145 by Scientist0000001 last updated on 01/Oct/19 $${prove}\:{that}\:;\:{arg}\left(\boldsymbol{{z}}\mathrm{1}\boldsymbol{{z}}\mathrm{2}\right)={arg}\left({z}\mathrm{1}\right)+{arg}\left({z}\mathrm{2}\right). \\ $$$${arg}\left({z}\mathrm{1}/{z}\mathrm{2}\right)={arg}\left({z}\mathrm{1}\right)−{arg}\left({z}\mathrm{2}\right). \\ $$ Answered by MJS last updated on 01/Oct/19 $${z}_{\mathrm{1}} ={r}_{\mathrm{1}} \mathrm{e}^{\mathrm{i}\theta_{\mathrm{1}} }…
Question Number 135679 by liberty last updated on 15/Mar/21 $$\left(\mathrm{cos}\:{x}−\mathrm{sin}\:{x}\right)\left(\mathrm{2tan}\:{x}+\frac{\mathrm{1}}{\mathrm{cos}\:{x}}\right)+\mathrm{2}\:=\:\mathrm{0} \\ $$ Answered by EDWIN88 last updated on 15/Mar/21 $$\mathrm{Let}\:\mathrm{tan}\:\frac{\mathrm{x}}{\mathrm{2}}\:=\:\mathrm{t}\:\rightarrow\begin{cases}{\mathrm{cos}\:\mathrm{x}=\frac{\mathrm{1}−\mathrm{t}}{\mathrm{1}+\mathrm{t}^{\mathrm{2}} }}\\{\mathrm{sin}\:\mathrm{x}=\frac{\mathrm{2t}}{\mathrm{1}+\mathrm{t}^{\mathrm{2}} }}\\{\mathrm{tan}\:\mathrm{x}=\frac{\mathrm{2t}}{\mathrm{1}−\mathrm{t}^{\mathrm{2}} }}\end{cases} \\ $$$$\Leftrightarrow\:\left(\frac{\mathrm{1}−\mathrm{t}^{\mathrm{2}}…