Question Number 207458 by 073 last updated on 16/May/24 Commented by 073 last updated on 16/May/24 $$???? \\ $$ Commented by mr W last updated…
Question Number 207436 by CrispyXYZ last updated on 15/May/24 $${a},\:{b}\in\mathbb{N}_{+} ,\:\frac{{b}+\mathrm{1}}{{a}}+\frac{{a}+\mathrm{1}}{{b}}\in\mathbb{Z}.\:\mathrm{Prove}\:\mathrm{that}\: \\ $$$$\left({a},\:{b}\right)\leqslant\sqrt{{a}+{b}.} \\ $$ Commented by A5T last updated on 15/May/24 $${What}\:{is}\:{meant}\:{by}\:\left({a},{b}\right)? \\ $$…
Question Number 207450 by York12 last updated on 15/May/24 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{relation}\:\mathrm{between}\:{m}\:\mathrm{and}\:{n}\:\mathrm{for}\:\mathrm{which}\:\mathrm{the}\:\mathrm{following}\:\:\mathrm{holds} \\ $$$$\:\frac{{d}\left({y}\right)}{{d}\left({x}\right)}\mid_{{x}={n}} =\left(\frac{{d}\left({x}\right)}{{d}\left({y}\right)}\mid_{{y}={m}} \right)^{−\mathrm{1}} \\ $$ Answered by mr W last updated on 15/May/24 Commented…
Question Number 207434 by Frix last updated on 22/May/24 $$\mathrm{Relating}\:\mathrm{to}\:\mathrm{question}\:\mathrm{207407} \\ $$$${x}^{\mathrm{3}} −\mathrm{12}{x}^{\mathrm{2}} +\mathrm{27}{x}−\mathrm{17}=\mathrm{0} \\ $$$$\mathrm{Let}\:{x}={t}+\mathrm{4} \\ $$$${t}^{\mathrm{3}} −\mathrm{21}{t}−\mathrm{37}=\mathrm{0} \\ $$$$\mathrm{The}\:\mathrm{Trigonometric}\:\mathrm{Solution}\:\mathrm{gives}\:\mathrm{these}: \\ $$$${x}_{\mathrm{1}} =\mathrm{4}−\mathrm{2}\sqrt{\mathrm{7}}\mathrm{cos}\:\frac{\pi+\mathrm{2sin}^{−\mathrm{1}} \:\frac{\mathrm{37}\sqrt{\mathrm{7}}}{\mathrm{98}}}{\mathrm{6}}…
Question Number 207451 by NasaSara last updated on 15/May/24 $${find}\:{the}\:{volume}\:{in}\:{the}\:{first}\:{quadrant} \\ $$$$\:{of}\:{the}\:{solid}\:{obtained}\:{by}\:{rotating} \\ $$$${the}\:{region}\:{bounded}\:{by}\:{the}\:{curves}\: \\ $$$${x}\:=\:{sinh}\left({y}\right)\:,\:{x}\:=\:{cosh}\left({y}\right)\:{about}\:{y}\:{axis}\:\left({use}\:{washer}\:{method}\right)\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 207435 by NasaSara last updated on 15/May/24 $${y}={e}^{{t}} −{e}^{−{t}} \:{and}\:{x}\:=\:{e}^{{t}} +{e}^{−{t}} \:{does}\:{this}\:{parametric}\:{equation}\:{resembles} \\ $$$$\:{circle}\:{or}\:{ellipse}\:{or}\:{hyperbola}\:{or}\:{parabola}\:{and}\:{why}? \\ $$ Answered by mr W last updated on…
Question Number 207442 by York12 last updated on 15/May/24 $$\mathrm{If}\:{y}={f}\left({x}\right),\:\frac{{d}^{\mathrm{2}} {x}}{{dy}^{\mathrm{2}} }={e}^{{y}+\mathrm{1}} ,\:\mathrm{and}\:\mathrm{the}\:\mathrm{tangent}\:\mathrm{line}\:\mathrm{to}\:\mathrm{the}\:\mathrm{curve}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}\:{f}\left({x}\right)\:\mathrm{on}\:\mathrm{the}\:\mathrm{point} \\ $$$$\left({x}_{\mathrm{1}} ,−\mathrm{1}\right)\:\mathrm{is}\:\mathrm{paralel}\:\mathrm{to}\:\mathrm{the}\:\mathrm{straight}\:\mathrm{line}\:{g}\left({x}\right)={x}−\mathrm{3},\:\mathrm{then}\:\mathrm{find}\:{f}'\left({x}\right). \\ $$ Commented by York12 last updated on 15/May/24…
Question Number 207420 by Wuji last updated on 14/May/24 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{Differential}\:\mathrm{equation} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}=\left(\frac{\mathrm{x}+\mathrm{3y}}{\mathrm{2x}}\right) \\ $$ Answered by mr W last updated on 14/May/24 $${let}\:{y}={tx} \\ $$$$\frac{{dy}}{{dx}}={t}+{x}\frac{{dt}}{{dx}}…
Question Number 207423 by efronzo1 last updated on 14/May/24 $$\:\:\:\:\downharpoonleft\underline{\:} \\ $$ Answered by mr W last updated on 14/May/24 $${let}\:{a}_{{n}} ={b}_{{n}} +{k} \\ $$$${b}_{{n}+\mathrm{1}}…
Question Number 207416 by efronzo1 last updated on 14/May/24 $$\:\:\: \\ $$ Answered by mr W last updated on 14/May/24 $$\frac{{U}_{\mathrm{2}} }{{q}}+{U}_{\mathrm{2}} +{qU}_{\mathrm{2}} =\mathrm{9}\left(\frac{{q}}{{U}_{\mathrm{2}} }+\frac{\mathrm{1}}{{U}_{\mathrm{2}}…