Question Number 205051 by mr W last updated on 06/Mar/24 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{values}\:\mathrm{of}\:\:\mathrm{k}\:\mathrm{such}\:\mathrm{that}\:\mathrm{the} \\ $$$$\mathrm{expr}{e}\mathrm{ssion}\:\mathrm{x}^{\mathrm{3}} +\:\mathrm{kx}^{\mathrm{2}} −\mathrm{7x}+\mathrm{6}\:\mathrm{can}\:\mathrm{be} \\ $$$$\mathrm{re}{s}\mathrm{olved}\:\mathrm{into}\:\mathrm{three}\:\mathrm{linear}\:\mathrm{real}\:\mathrm{factors}. \\ $$ Answered by Frix last updated on…
Question Number 205045 by cortano12 last updated on 06/Mar/24 $$\:\:\:\:\underbrace{ \underline{}\:} \\ $$ Commented by Rasheed.Sindhi last updated on 06/Mar/24 $$\mathrm{7}\mid{rhs}\:{but}\:\mathrm{7}\nmid\mathrm{450} \\ $$$${hence}\:{positive}\:{integer}\:{x},{y}\:{don}'{t} \\ $$$${exist}.…
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Question Number 205001 by rajusasmal last updated on 05/Mar/24 Answered by TonyCWX08 last updated on 05/Mar/24 $$\mathrm{44}.\: \\ $$$${x}^{\mathrm{2}} −{y}^{\mathrm{2}} \\ $$$$=\left({asec}\left(\theta\right)+{btan}\left(\theta\right)\right)^{\mathrm{2}} −\left({atan}\left(\theta\right)+{bsec}\left(\theta\right)\right)^{\mathrm{2}} \\ $$$$={a}^{\mathrm{2}}…
Question Number 205013 by mathlove last updated on 05/Mar/24 $${if}\:{y}=\sqrt[{\mathrm{7}}]{{x}}\:{prove}\:{that} \\ $$$${y}^{'} =\frac{\mathrm{1}}{\mathrm{7}\:\sqrt[{\mathrm{7}}]{{x}^{\mathrm{6}} }} \\ $$ Answered by Frix last updated on 05/Mar/24 $${y}={x}^{{r}} \:\Rightarrow\:{y}'={rx}^{{r}−\mathrm{1}}…
Question Number 204999 by Frix last updated on 05/Mar/24 $$\mathrm{Solve}\:\mathrm{for}\:{x}\in\mathbb{C} \\ $$$${x}^{\mathrm{3}} +\left(\mathrm{4}−\mathrm{3i}\right){x}^{\mathrm{2}} −\left(\mathrm{51}+\mathrm{49i}\right){x}−\mathrm{442}+\mathrm{170i}=\mathrm{0} \\ $$ Answered by Skabetix last updated on 05/Mar/24 $${S}=\left\{\:−\mathrm{9}−\mathrm{4}{i}\:;\:−\mathrm{3}+\mathrm{5}{i}\:;\:\mathrm{8}+\mathrm{2}{i}\:\right\}? \\…
Is-there-any-way-to-integrate-1-ln-x-dx-without-hitting-the-Gauss-error-function-or-e-t-2-and-e-t-2-
Question Number 204992 by Akira181 last updated on 05/Mar/24 $$\mathrm{Is}\:\mathrm{there}\:\mathrm{any}\:\mathrm{way}\:\mathrm{to}\:\mathrm{integrate}: \\ $$$$\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{ln}\left({x}\right)}}\:{dx} \\ $$$$\mathrm{without}\:\mathrm{hitting}\:\mathrm{the}\:\mathrm{Gauss}\:\mathrm{error}\:\mathrm{function} \\ $$$$\mathrm{or}\:{e}^{{t}^{\mathrm{2}} } \:\mathrm{and}\:{e}^{−{t}^{\mathrm{2}} } \:? \\ $$ Answered by TonyCWX08…
Question Number 204994 by LuisTony last updated on 05/Mar/24 Answered by TonyCWX08 last updated on 05/Mar/24 $$\mathrm{3}{x}−\mathrm{5}={x}+\mathrm{3} \\ $$$$\mathrm{3}{x}−{x}=\mathrm{3}+\mathrm{5} \\ $$$$\mathrm{2}{x}=\mathrm{8} \\ $$$${x}=\mathrm{4} \\ $$$$…
Question Number 204991 by tigrecomplexe last updated on 04/Mar/24 Commented by tigrecomplexe last updated on 05/Mar/24 $${sommeone}\:{can}\:{put}\:{hand}\:{here}\:{please}\:? \\ $$ Answered by witcher3 last updated on…
Question Number 204985 by Lindemann last updated on 04/Mar/24 $${Q}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\left(\mathrm{1}−{x}^{\mathrm{3}} \right)\left(\mathrm{1}−{x}^{\mathrm{33}} \right)\left(\mathrm{1}−{x}^{\mathrm{333}} \right)}{{lnx}}{dx} \\ $$ Answered by witcher3 last updated on 04/Mar/24 $$\mathrm{Q}\left(\mathrm{a}\right)=\int_{\mathrm{0}}…