Menu Close

Category: None

Question-193210

Question Number 193210 by otchereabdullai@gmail.com last updated on 07/Jun/23 Answered by MM42 last updated on 07/Jun/23 $$\left({p}+\mathrm{3}{q}\right)^{\mathrm{2}} −\left({p}+\mathrm{3}{q}\right)\left({p}−\mathrm{3}{q}\right)=\left({p}+\mathrm{3}{q}\right)\left({p}+\mathrm{3}{q}−{p}+\mathrm{3}{q}\right)=\mathrm{6}{q}\left({p}+\mathrm{3}{q}\right)\:\checkmark \\ $$ Commented by otchereabdullai@gmail.com last updated…

solve-and-solution-sin-1-x-dx-

Question Number 193192 by 073 last updated on 07/Jun/23 $$\mathrm{solve}\:\mathrm{and}\:\mathrm{solution} \\ $$$$\Omega=\int\sqrt{\mathrm{sin}^{−\mathrm{1}} \mathrm{x}}\mathrm{dx}=? \\ $$ Answered by Frix last updated on 07/Jun/23 $$\int\sqrt{\mathrm{sin}^{−\mathrm{1}} \:{x}}\:{dx}\:\overset{\left[{t}=\mathrm{sin}^{−\mathrm{1}} \:{x}\right]}…

solve-7-x-2-

Question Number 193170 by aba last updated on 05/Jun/23 $$\mathrm{solve}\::\:\mathrm{7}^{\mathrm{x}} =−\mathrm{2} \\ $$ Answered by Frix last updated on 06/Jun/23 $$−\mathrm{2}=\mathrm{2e}^{\mathrm{i}\pi\left(\mathrm{2}{n}+\mathrm{1}\right)} \forall{n}\in\mathbb{Z} \\ $$$$\mathrm{7}^{{x}} =\mathrm{2e}^{\mathrm{i}\pi\left(\mathrm{2}{n}+\mathrm{1}\right)}…

Question-131027

Question Number 131027 by Algoritm last updated on 31/Jan/21 Answered by mathmax by abdo last updated on 31/Jan/21 $$\mathrm{cos}^{\mathrm{2m}} \mathrm{x}\:=\left(\frac{\mathrm{e}^{\mathrm{ix}} +\mathrm{e}^{−\mathrm{ix}} }{\mathrm{2}}\right)^{\mathrm{2m}} \:=\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2m}} }\sum_{\mathrm{k}=\mathrm{0}} ^{\mathrm{2m}}…