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Question Number 92356 by otchereabdullai@gmail.com last updated on 06/May/20 Commented by otchereabdullai@gmail.com last updated on 06/May/20 $$\mathrm{thanks}\:\mathrm{for}\:\mathrm{your}\:\mathrm{time}\:\mathrm{sir} \\ $$ Commented by john santu last updated…
Question Number 92347 by liki last updated on 06/May/20 Commented by liki last updated on 06/May/20 $$…\mathrm{help}\:\mathrm{me}\:\mathrm{plz} \\ $$ Commented by liki last updated on…
Question Number 157869 by joki last updated on 29/Oct/21 $$\mathrm{partial}\:\mathrm{fraction}\:\mathrm{in}\:\mathrm{below}: \\ $$$$\mathrm{1}.\:\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{15x}+\mathrm{41}}{\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} } \\ $$$$\mathrm{2}.\frac{\mathrm{4x}^{\mathrm{2}} −\mathrm{5x}+\mathrm{6}}{\left(\mathrm{x}+\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)} \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 157867 by ZiYangLee last updated on 29/Oct/21 $$\mathrm{Given}\:\mathrm{that}\:\mathrm{point}\:{P}\left({a}\:\mathrm{cos}\:\theta,\:{b}\:\mathrm{sin}\:\theta\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{point}\:\mathrm{on} \\ $$$$\mathrm{the}\:\mathrm{ellipse}\:\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }=\mathrm{1}. \\ $$$$\mathrm{The}\:\mathrm{tangent}\:\mathrm{to}\:\mathrm{the}\:\mathrm{curve}\:\mathrm{at}\:\mathrm{point}\:{P}\:\:\mathrm{is}\:\mathrm{perpendicular} \\ $$$$\mathrm{to}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{line}\:\mathrm{which}\:\mathrm{passes}\:\mathrm{through}\:\mathrm{the}\:\mathrm{focus}, \\ $$$${F}\:\left({ae},\mathrm{0}\right).\:\mathrm{If}\:{N}\:\mathrm{is}\:\mathrm{the}\:\mathrm{intersection}\:\mathrm{point},\:\mathrm{show}\:\mathrm{that} \\ $$$$\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:{N}\:\mathrm{is}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}}…
Question Number 157829 by Fikret last updated on 28/Oct/21 $$\frac{\sqrt{\mathrm{2}}\:{a}_{{n}} }{{a}_{{n}+\mathrm{1}} }=\sqrt{\mathrm{2}+\left({a}_{{n}} \right)^{\mathrm{2}} }\:\:\:\:\: \\ $$$${a}_{\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\Rightarrow\:\:{a}_{\mathrm{43}} =? \\ $$ Answered by qaz last updated…
Question Number 157813 by MathsFan last updated on 28/Oct/21 $${express}\:\:\mathrm{5}.\mathrm{1}\overset{\bullet} {\mathrm{3}}\overset{\bullet} {\mathrm{4}}\overset{\bullet} {\mathrm{5}}\:\:\:{into}\:{fraction} \\ $$ Answered by Rasheed.Sindhi last updated on 28/Oct/21 $${x}=\mathrm{5}.\mathrm{1}\overline {\mathrm{345}} \\…
Question Number 157815 by mkam last updated on 28/Oct/21 Commented by mkam last updated on 28/Oct/21 $${where}\:{z}={re}^{{i}\theta} \\ $$ Commented by mkam last updated on…
Question Number 92275 by otchereabdullai@gmail.com last updated on 05/May/20 $$\mathrm{Make}\:\mathrm{R}\:\mathrm{the}\:\mathrm{subject}\:\mathrm{of}: \\ $$$$\:\:\mathrm{P}=\:\frac{\mathrm{RE}^{\mathrm{2}} }{\left(\mathrm{R}+\mathrm{b}\right)^{\mathrm{2}} } \\ $$ Answered by MJS last updated on 06/May/20 $${P}\left({R}+{b}\right)^{\mathrm{2}} ={E}^{\mathrm{2}}…
Question Number 157795 by naka3546 last updated on 28/Oct/21 $$\left\{{a}_{{n}} \right\}\:{is}\:{a}\:\:{natural}\:\:{number}\:\:{sequence}\:\:{for}\:\:{n}\:\geqslant\:\mathrm{0}\:\:{that}\:\:{satisfy} \\ $$$${recurrence}\:\:{relation}\:\:{a}_{{m}+{n}} \:+\:{a}_{{m}−{n}} \:−{m}+{n}\:=\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\:\left({a}_{\mathrm{2}{m}} \:+{a}_{\mathrm{2}{n}} \right)\:,\:\: \\ $$$${for}\:\:\forall\:{m},{n}\:\:{nonnegative}\:\:{integers}\:. \\ $$$${Find}\:\:{a}_{\mathrm{2016}} \:. \\ $$ Answered…