Question Number 171091 by pablo1234523 last updated on 07/Jun/22 Commented by pablo1234523 last updated on 07/Jun/22 $$\mathrm{how}\:\mathrm{is}\:\mathrm{the}\:\mathrm{red}\:\mathrm{expression}\:\mathrm{obtained} \\ $$$${f}^{\mathrm{2}{n}+\mathrm{1}} \left(\theta{x}\right)=\mathrm{cos}\:\left(\frac{\left(\mathrm{2}{n}+\mathrm{1}\right)\pi}{\mathrm{2}}+\theta{x}\right)=\mathrm{cos}\:\left({n}\pi+\frac{\pi}{\mathrm{2}}+\theta{x}\right) \\ $$$$=−\mathrm{sin}\:\left({n}\pi+\theta{x}\right)=\left(−\mathrm{1}\right)^{{n}} \mathrm{sin}\:\left(\theta{x}\right) \\ $$$$…
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Question Number 171078 by MathsFan last updated on 07/Jun/22 $$\boldsymbol{\mathrm{sketch}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{graph}}\:\boldsymbol{\mathrm{of}} \\ $$$$\:\boldsymbol{\mathrm{y}}=\boldsymbol{\mathrm{ln}}\left(\boldsymbol{\mathrm{x}}+\mathrm{5}\right) \\ $$$$ \\ $$ Answered by thfchristopher last updated on 07/Jun/22 Commented by…
Question Number 171070 by MathsFan last updated on 07/Jun/22 $$\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{1}=\mathrm{2}^{\boldsymbol{\mathrm{x}}} \\ $$$$\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{x}} \\ $$ Answered by Rasheed.Sindhi last updated on 07/Jun/22 $$\mathrm{x}^{\mathrm{2}} −\mathrm{1}=\mathrm{2}^{\mathrm{x}} \:;\mathrm{find}\:\mathrm{x}…
Question Number 171071 by mathocean1 last updated on 07/Jun/22 $${justify}\:{that}\:\int_{\mathrm{0}} ^{+\infty} \frac{{dt}}{\mathrm{1}+{t}^{\mathrm{4}} }\:{is}\:{convergent}. \\ $$ Answered by aleks041103 last updated on 07/Jun/22 $$\int_{\mathrm{0}} ^{\infty} \frac{{dt}}{\mathrm{1}+{t}^{\mathrm{4}}…
Question Number 39983 by Necxx last updated on 14/Jul/18 $${To}\:{developer},{Is}\:{there}\:{any}\:{way}\:{of} \\ $$$${getting}\:{back}\:{your}\:{previous}\:{account} \\ $$$${if}\:{you}\:{lost}\:{your}\:{password}? \\ $$ Answered by Tinku Tara last updated on 14/Jul/18 $$\mathrm{Not}\:\mathrm{really}.\:\mathrm{Since}\:\mathrm{we}\:\mathrm{dont}\:\mathrm{have}…
Question Number 105506 by Anindita last updated on 29/Jul/20 $$\left(−\frac{\mathrm{1}}{\mathrm{2}}\right)+\left(+\frac{\mathrm{3}}{\mathrm{7}}\right)+\left(−\frac{\mathrm{1}}{\mathrm{10}}\right)=? \\ $$ Commented by Anindita last updated on 29/Jul/20 $$\boldsymbol{\mathrm{Can}}\:\boldsymbol{\mathrm{anyone}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{this}}? \\ $$ Commented by prakash…
Question Number 105504 by bemath last updated on 29/Jul/20 $$\left(\mathrm{1}\right)\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\int_{\:\mathrm{0}} ^{\:{x}^{\mathrm{2}} } \mathrm{sec}\:^{\mathrm{2}} {t}\:{dt}}{{x}\:\mathrm{sin}\:{x}}\:? \\ $$$$\left(\mathrm{2}\right)\:\underset{−\pi/\mathrm{2}} {\overset{\pi/\mathrm{2}} {\int}}\sqrt{\mathrm{sec}\:{x}−\mathrm{cos}\:{x}}\:{dx}\:? \\ $$$$\left(\mathrm{3}\right){In}\:{a}\:{triangle}\:{if}\:\mathrm{tan}\:{A}=\mathrm{2sin}\:\mathrm{2}{C} \\ $$$${and}\:\mathrm{3cos}\:{A}=\mathrm{2sin}\:{B}\mathrm{sin}\:{C}.\:{find}\:{C} \\ $$…
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Question Number 105491 by oustmuchiya@gmail.com last updated on 29/Jul/20 $${The}\:{tax}\:{free}\:{allowance}\:{for} \\ $$$${Tammy}\:{is}\:\mathrm{K3}\:\mathrm{300}.\mathrm{00}\:{and}\:{he}\: \\ $$$${pays}\:{Income}\:{Tax}\:{at}\:{the}\:{rate} \\ $$$${of}\:\mathrm{30\%}\:{on}\:{the}\:{balance}\:{of}\:{his}\: \\ $$$${salary}.\:{Calculate}\:{the}\:{net}\:{pay} \\ $$$${for}\:{Tammy}\:{if}\:{his}\:{montly} \\ $$$${salary}\:{is}\:\mathrm{K5}\:\mathrm{500}.\mathrm{00}. \\ $$$$ \\…