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Author: Tinku Tara

If-A-is-a-3-3-matrix-where-det-A-2-then-what-will-be-det-3A-2-A-1-knowing-that-A-1-is-the-inverse-of-A-

Question Number 149116 by bramlexs22 last updated on 03/Aug/21 $$\:\mathrm{If}\:\mathrm{A}\:\mathrm{is}\:\mathrm{a}\:\mathrm{3}×\mathrm{3}\:\mathrm{matrix}\:\mathrm{where}\:\mathrm{det}\left(\mathrm{A}\right)=−\mathrm{2} \\ $$$$\mathrm{then}\:\mathrm{what}\:\mathrm{will}\:\mathrm{be}\:\mathrm{det}\left(\mathrm{3A}^{\mathrm{2}} \mathrm{A}^{−\mathrm{1}} \right)? \\ $$$$\mathrm{knowing}\:\mathrm{that}\:\mathrm{A}^{−\mathrm{1}} \:\mathrm{is}\:\mathrm{the}\:\mathrm{inverse} \\ $$$$\mathrm{of}\:\mathrm{A}\: \\ $$ Answered by EDWIN88 last…

Question-18046

Question Number 18046 by virus last updated on 14/Jul/17 Answered by mrW1 last updated on 14/Jul/17 $$\mathrm{t}_{\mathrm{P}−\mathrm{D}} =\mathrm{10}/\mathrm{2}=\mathrm{5}\:\mathrm{s} \\ $$$$\mathrm{t}_{\mathrm{P}−\mathrm{B}} =\mathrm{6}/\mathrm{2}=\mathrm{3}\:\mathrm{s} \\ $$$$\mathrm{h}=\mathrm{h}_{\mathrm{P}−\mathrm{D}} −\mathrm{h}_{\mathrm{P}−\mathrm{N}} =\frac{\mathrm{1}}{\mathrm{2}}\mathrm{g}\left(\mathrm{5}^{\mathrm{2}}…

tan-x-pi-3-tan-3x-tan-2x-pi-3-dx-

Question Number 149112 by bramlexs22 last updated on 03/Aug/21 $$\:\varphi\:=\:\int\:\mathrm{tan}\:\left(\mathrm{x}+\frac{\pi}{\mathrm{3}}\right)\mathrm{tan}\:\mathrm{3x}\:\mathrm{tan}\:\left(\mathrm{2x}−\frac{\pi}{\mathrm{3}}\right)\:\mathrm{dx}\:=? \\ $$ Commented by som(math1967) last updated on 03/Aug/21 $$\boldsymbol{{tan}}\mathrm{3}\boldsymbol{{x}}=\boldsymbol{{tan}}\left(\boldsymbol{{x}}+\frac{\boldsymbol{\pi}}{\mathrm{3}}\:+\mathrm{2}\boldsymbol{{x}}−\frac{\boldsymbol{\pi}}{\mathrm{3}}\right) \\ $$$$\boldsymbol{{tan}}\mathrm{3}\boldsymbol{{x}}=\frac{\boldsymbol{{tan}}\left(\boldsymbol{{x}}+\frac{\boldsymbol{\pi}}{\mathrm{3}}\right)+\boldsymbol{{tan}}\left(\mathrm{2}\boldsymbol{{x}}−\frac{\boldsymbol{\pi}}{\mathrm{3}}\right)}{\mathrm{1}−{tan}\left(\boldsymbol{{x}}+\frac{\boldsymbol{\pi}}{\mathrm{3}}\right)\boldsymbol{{tan}}\left(\mathrm{2}\boldsymbol{{x}}+\frac{\mathrm{2}\boldsymbol{\pi}}{\mathrm{3}}\right)} \\ $$$$\therefore\boldsymbol{{tan}}\mathrm{3}\boldsymbol{{xtan}}\left(\boldsymbol{{x}}+\frac{\boldsymbol{\pi}}{\mathrm{3}}\right)\boldsymbol{{tan}}\left(\mathrm{2}\boldsymbol{{x}}−\frac{\boldsymbol{\pi}}{\mathrm{3}}\right) \\…

Find-the-locus-of-a-point-which-moves-such-that-its-distance-from-the-line-y-4-is-a-constant-k-

Question Number 83570 by TawaTawa1 last updated on 03/Mar/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:\mathrm{a}\:\mathrm{point}\:\mathrm{which}\:\mathrm{moves}\:\mathrm{such}\:\mathrm{that}\:\mathrm{its} \\ $$$$\mathrm{distance}\:\mathrm{from}\:\mathrm{the}\:\mathrm{line}\:\:\:\mathrm{y}\:\:=\:\:\mathrm{4}\:\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{constant}\:\:\:\mathrm{k}. \\ $$ Commented by TawaTawa1 last updated on 03/Mar/20 $$\mathrm{Please}\:\mathrm{help}. \\ $$ Commented…