Question Number 76146 by john santuy last updated on 24/Dec/19 Commented by john santuy last updated on 24/Dec/19 $${how}\:{to}\:{proof}? \\ $$ Commented by mr W…
Question Number 141681 by ZiYangLee last updated on 22/May/21 $$\mathrm{On}\:\mathrm{the}\:\mathrm{Argand}\:\mathrm{Diagram},\:\mathrm{the}\:\mathrm{variable}\:\mathrm{point} \\ $$$$\mathrm{Z}\:\mathrm{represents}\:\mathrm{a}\:\mathrm{complex}\:\mathrm{number}\:{z}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:\mathrm{a}\:\mathrm{point} \\ $$$$\mathrm{Z}\:\mathrm{which}\:\mathrm{moves}\:\mathrm{such}\:\mathrm{that}\:\mid\frac{{z}−\mathrm{1}}{{z}+\mathrm{2}}\mid=\mathrm{2} \\ $$ Answered by MJS_new last updated on 22/May/21…
Question Number 76112 by Maclaurin Stickker last updated on 23/Dec/19 $${If}\:{the}\:{sides}\:{of}\:{a}\:{triangle}\:{are}\:{consecutive} \\ $$$${integers}\:{and}\:{the}\:{maximum}\:{angle} \\ $$$${is}\:{twice}\:{the}\:{minimum},\:{determine} \\ $$$${the}\:{sides}\:{of}\:{the}\:{triangle}. \\ $$ Answered by mr W last updated…
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Question Number 76108 by Maclaurin Stickker last updated on 23/Dec/19 Commented by Maclaurin Stickker last updated on 23/Dec/19 $${in}\:{the}\:{figure},\:{the}\:{circumferences} \\ $$$${have}\:{radius}\:\mathrm{8}\:{cm}\:{and}\:\mathrm{6}\:{cm}\:{and}\:{the} \\ $$$${distance}\:{between}\:{their}\:{centers}\:{is}\:\mathrm{12}\:{cm}.\: \\ $$$${If}\:{QP}={PR},\:{find}\:{QP}.…
Question Number 10575 by ridwan balatif last updated on 19/Feb/17 $$\mathrm{3}\left(\mathrm{2}^{\mathrm{2}} +\mathrm{1}\right)\left(\mathrm{2}^{\mathrm{4}} +\mathrm{1}\right)\left(\mathrm{2}^{\mathrm{8}} +\mathrm{1}\right)\left(\mathrm{2}^{\mathrm{16}} +\mathrm{1}\right)\left(\mathrm{2}^{\mathrm{32}} +\mathrm{1}\right)\left(\mathrm{2}^{\mathrm{64}} +\mathrm{1}\right)\left(\mathrm{2}^{\mathrm{128}} +\mathrm{1}\right)=…? \\ $$ Commented by FilupS last updated…
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Question Number 141643 by Gbenga last updated on 21/May/21 Answered by qaz last updated on 22/May/21 $${S}=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(\mathrm{5}{n}+\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{16}^{{n}} } \\ $$$$=\left(\mathrm{5}{xD}+\mathrm{1}\right)^{\mathrm{2}} \mid_{{x}=\mathrm{1}/\mathrm{16}} \underset{{n}=\mathrm{0}}…
Question Number 10566 by krist last updated on 18/Feb/17 Answered by ridwan balatif last updated on 18/Feb/17 $$\int\frac{\mathrm{cos}{x}}{\mathrm{1}−\mathrm{cos}^{\mathrm{2}} {x}}{dx} \\ $$$$=\int\frac{\mathrm{cos}{x}}{\mathrm{sin}^{\mathrm{2}} {x}}{dx} \\ $$$$=\int\frac{\mathrm{cos}{x}}{\mathrm{sin}{x}}×\frac{\mathrm{1}}{\mathrm{sin}{x}}{dx} \\…