Question Number 12377 by tawa last updated on 20/Apr/17 $$\int\:\:\frac{\sqrt{\mathrm{1}\:+\:\sqrt{\mathrm{x}}}}{\mathrm{x}}\:\:\mathrm{dx} \\ $$ Answered by mrW1 last updated on 21/Apr/17 $${t}^{\mathrm{2}} =\sqrt{{x}} \\ $$$${t}^{\mathrm{4}} ={x} \\…
Question Number 143450 by bramlexs22 last updated on 14/Jun/21 $${when}\:{x}+{y}=\frac{\mathrm{2}\pi}{\mathrm{3}};\:{x}\geqslant\mathrm{0}\:;{y}\geqslant\mathrm{0} \\ $$$${the}\:{maximum}\:{and}\:{the}\:{minimum} \\ $$$${of}\:\mathrm{sin}\:{x}+\mathrm{sin}\:{y}\:{is}\:\_\_\_\: \\ $$ Answered by EDWIN88 last updated on 16/Jun/21 $$\:\mathrm{y}=\:\frac{\mathrm{2}\pi}{\mathrm{3}}−\mathrm{x}\:\Rightarrow\mathrm{sin}\:\mathrm{y}=\mathrm{sin}\:\left(\frac{\mathrm{2}\pi}{\mathrm{3}}−\mathrm{x}\right) \\…
Question Number 143446 by gsk2684 last updated on 14/Jun/21 $$\mathrm{find}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{of} \\ $$$$\mathrm{differential}\:\mathrm{equation}\: \\ $$$$\mathrm{y}'=\mathrm{y}−\mathrm{xy}^{\mathrm{3}} \mathrm{e}^{−\mathrm{2x}} \\ $$ Answered by gsk2684 last updated on 05/Jul/21 $$\mathrm{solution}\:\mathrm{please}…
Question Number 12371 by JAZAR last updated on 20/Apr/17 $${tank}\:{you} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143443 by mnjuly1970 last updated on 14/Jun/21 Commented by amin96 last updated on 14/Jun/21 $$? \\ $$$$ \\ $$ Answered by mr W…
Question Number 12368 by sin (x) last updated on 20/Apr/17 Answered by mrW1 last updated on 22/Apr/17 $${EF}×\mathrm{cot}\:\mathrm{55}+{EF}×\mathrm{cot}\:\mathrm{35}+\mathrm{4}=\mathrm{10} \\ $$$${EF}×\mathrm{tan}\:\:\mathrm{35}+{EF}×\mathrm{tan}\:\:\mathrm{55}=\mathrm{6} \\ $$$${EF}=\frac{\mathrm{6}}{\mathrm{tan}\:\mathrm{35}+\mathrm{tan}\:\mathrm{55}}=\mathrm{2}.\mathrm{819}\approx\mathrm{3} \\ $$$$\Rightarrow{Answer}\:\boldsymbol{{A}} \\…
Question Number 77902 by TawaTawa last updated on 12/Jan/20 Commented by mr W last updated on 12/Jan/20 $${try}\:{to}\:{solve}\:{by}\:{yourself}.\:{i}\:{think}\:{you} \\ $$$${can}\:{solve}. \\ $$$${but}\:{the}\:{question}\:{is}\:{not}\:{a}\:{good}\:{one}.\:{it}\:{says} \\ $$$${only}\:\alpha,\beta,\gamma>\mathrm{0}.\:{but}\:\alpha+\beta−\gamma\:{could}\:{be}\:>\mathrm{0}, \\…
Question Number 143436 by mathdanisur last updated on 14/Jun/21 $${Find}\:{matrix}\:{rank}=? \\ $$$$\begin{pmatrix}{\mathrm{47}}&{−\mathrm{67}}&{\mathrm{35}}&{\mathrm{201}}&{\mathrm{155}}\\{\mathrm{26}}&{\mathrm{98}}&{\mathrm{23}}&{−\mathrm{294}}&{\mathrm{86}}\\{\mathrm{16}}&{−\mathrm{428}}&{\mathrm{1}}&{\mathrm{1284}}&{\mathrm{53}}\end{pmatrix} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143439 by ERA last updated on 14/Jun/21 $$\mathrm{sinx}+\mathrm{sin2x}+\mathrm{sin3x}+…..+\mathrm{sinkx}=\mathrm{sin}\frac{\mathrm{kx}}{\mathrm{2}}×\frac{\mathrm{sin}\frac{\mathrm{k}+\mathrm{1}}{\mathrm{2}}\mathrm{x}}{\mathrm{sin}\frac{\mathrm{x}}{\mathrm{2}}} \\ $$$$\mathrm{prove} \\ $$ Answered by Mathspace last updated on 14/Jun/21 $${A}_{{n}} ={sinx}+{sin}\left(\mathrm{2}{x}\right)+…+{sin}\left({nx}\right)\:\Rightarrow \\ $$$${A}_{{n}}…
Question Number 12365 by chux last updated on 20/Apr/17 Commented by mrW1 last updated on 21/Apr/17 $${Definition}\:{of}\:{Lambert}\:{W}\:{function}: \\ $$$${if}\:{y}={xe}^{{x}} \\ $$$${then}\:{x}={W}\left({y}\right) \\ $$$${i}.{e}.\:{y}={W}\left({y}\right){e}^{{W}\left({y}\right)} \\ $$$$…