Question Number 15765 by ajfour last updated on 13/Jun/17 Commented by ajfour last updated on 13/Jun/17 $${Q}.\mathrm{15736}\:\:\:\left({alternate}\:{solution}\right) \\ $$$${Area}\:\Delta{APF}\:\:=\frac{\mathrm{1}}{\mathrm{2}}\left({Area}\:\Delta{ABP}\right) \\ $$$$ \\ $$$${Maximum}\:{area}\:{of}\:\Delta{APF} \\ $$$$\:=\frac{\mathrm{1}}{\mathrm{2}}\left({maximum}\:{Area}\:{of}\:\Delta{ABP}\right)…
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Question Number 15667 by tawa tawa last updated on 12/Jun/17 Commented by mrW1 last updated on 12/Jun/17 $$\mathrm{diagram}\:\mathrm{is}\:\mathrm{not}\:\mathrm{to}\:\mathrm{understand}.\:\mathrm{please} \\ $$$$\mathrm{give}\:\mathrm{a}\:\mathrm{clear}\:\mathrm{diagram}. \\ $$ Commented by tawa…
Question Number 81188 by jagoll last updated on 10/Feb/20 Commented by jagoll last updated on 10/Feb/20 $${dear}\:{mr}\:{W} \\ $$ Answered by mr W last updated…
Question Number 146701 by bramlexs22 last updated on 15/Jul/21 Commented by bramlexs22 last updated on 15/Jul/21 $$\mathrm{how} \\ $$ Commented by som(math1967) last updated on…
Question Number 146667 by puissant last updated on 14/Jul/21 Answered by Olaf_Thorendsen last updated on 14/Jul/21 $$\mathrm{1}. \\ $$$$\mathrm{U}_{\mathrm{C}} \left({t}\right)\:=\:\mathrm{U}_{\mathrm{R}} \left({t}\right)\:=\:\mathrm{RI}_{\mathrm{R}} \left({t}\right)\:=\:\mathrm{R}\left(\mathrm{I}−\mathrm{I}_{\mathrm{C}} \left({t}\right)\right) \\ $$$$\mathrm{Q}_{\mathrm{C}}…
Question Number 15558 by ajfour last updated on 11/Jun/17 Commented by ajfour last updated on 11/Jun/17 $$\boldsymbol{\mathrm{Find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{areas}}\:\:\boldsymbol{\mathrm{I}},\:\boldsymbol{\mathrm{II}},\:\boldsymbol{\mathrm{III}},\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{IV}} \\ $$$$\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{terms}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{a}},\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{b}}. \\ $$$$\boldsymbol{\mathrm{Curve}}\:\boldsymbol{\mathrm{APD}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{semicircle}}.\:\boldsymbol{\mathrm{ABCD}} \\ $$$$\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{rectangle}}\:\boldsymbol{\mathrm{with}}\:\boldsymbol{\mathrm{side}}\:\boldsymbol{\mathrm{a}}>\boldsymbol{\mathrm{b}}/\mathrm{2}\:. \\ $$…
Question Number 80917 by jagoll last updated on 08/Feb/20 $$\frac{\sqrt{\mathrm{18}−\mathrm{7}{x}−{x}^{\mathrm{2}} }}{\mathrm{2}{x}+\mathrm{9}}\:\geqslant\:\frac{\sqrt{\mathrm{18}−\mathrm{7}{x}−{x}^{\mathrm{2}} }}{{x}+\mathrm{8}} \\ $$ Answered by john santu last updated on 08/Feb/20 $$\left({i}\right)\:{x}^{\mathrm{2}} −\mathrm{7}{x}−\mathrm{18}\leqslant\mathrm{0}\:\Rightarrow−\mathrm{9}\leqslant{x}\leqslant\mathrm{2} \\…
Question Number 15232 by tawa tawa last updated on 08/Jun/17 $$\mathrm{For}\:\mathrm{what}\:\mathrm{values}\:\mathrm{of}\:\:\mathrm{a}\:\:\mathrm{does}\:\mathrm{the}\:\mathrm{following}\:\mathrm{system}\:\mathrm{have}\:\mathrm{a}\:\mathrm{non}\:\mathrm{trivial}\: \\ $$$$\mathrm{solution}\: \\ $$$$\mathrm{ax}_{\mathrm{1}} \:+\:\mathrm{3x}_{\mathrm{2}} \:−\:\mathrm{2x}_{\mathrm{3}} \:=\:\mathrm{0} \\ $$$$−\mathrm{x}_{\mathrm{1}} \:+\:\mathrm{4x}_{\mathrm{2}} \:+\:\mathrm{ax}_{\mathrm{3}} \:=\:\mathrm{0} \\ $$$$\mathrm{5x}_{\mathrm{1}}…
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