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Express-this-f-z-2z-i-z-i-in-polar-form-where-z-re-i-polar-form-

Question Number 180285 by Mastermind last updated on 09/Nov/22 $$\mathrm{Express}\:\mathrm{this}\:\mathrm{f}\left(\mathrm{z}\right)=\frac{\mathrm{2z}+\mathrm{i}}{\mathrm{z}+\mathrm{i}}\:\mathrm{in}\:\mathrm{polar}\:\mathrm{form} \\ $$$$\mathrm{where}\:\mathrm{z}=\mathrm{re}^{\mathrm{i}\theta} \:\left(\mathrm{polar}\:\mathrm{form}\right) \\ $$$$ \\ $$ Commented by Frix last updated on 09/Nov/22 $$\mathrm{do}\:\mathrm{some}\:\mathrm{work}\:\mathrm{too}…

Express-the-function-f-z-ze-iz-into-cartesian-form-and-separate-it-into-Real-and-Imaginary-part-M-m-

Question Number 180277 by Mastermind last updated on 09/Nov/22 $$\mathrm{Express}\:\mathrm{the}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{z}\right)=\mathrm{ze}^{\mathrm{iz}} \:\mathrm{into} \\ $$$$\mathrm{cartesian}\:\mathrm{form}\:\mathrm{and}\:\mathrm{separate}\:\mathrm{it}\:\mathrm{into} \\ $$$$\mathrm{Real}\:\mathrm{and}\:\mathrm{Imaginary}\:\mathrm{part}. \\ $$$$ \\ $$$$\mathrm{M}.\mathrm{m} \\ $$ Commented by Frix last…

A-bus-travelling-along-a-straight-road-at-100-km-hr-and-the-bus-conductor-walks-at-6-km-hr-on-the-floor-of-the-bus-and-in-the-same-direction-as-the-bus-Find-the-speed-of-the-conductor-relative-to-

Question Number 49197 by Tawa1 last updated on 04/Dec/18 $$\mathrm{A}\:\mathrm{bus}\:\mathrm{travelling}\:\mathrm{along}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{road}\:\mathrm{at}\:\mathrm{100}\:\mathrm{km}/\mathrm{hr}\:\:\mathrm{and}\:\mathrm{the}\:\mathrm{bus}\: \\ $$$$\mathrm{conductor}\:\mathrm{walks}\:\mathrm{at}\:\mathrm{6}\:\mathrm{km}/\mathrm{hr}\:\mathrm{on}\:\mathrm{the}\:\mathrm{floor}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bus}\:\mathrm{and}\:\mathrm{in}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{direction}\:\mathrm{as}\:\mathrm{the}\:\mathrm{bus}.\: \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{the}\:\mathrm{conductor}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the}\:\mathrm{road},\:\mathrm{and}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{bus}.\:\:\mathrm{If}\:\mathrm{the}\:\mathrm{bus}\:\mathrm{conductor}\:\mathrm{now}\:\mathrm{walks}\:\mathrm{at}\:\mathrm{the}\:\mathrm{same}\:\mathrm{rate}\:\mathrm{but}\:\mathrm{in}\:\mathrm{opposite} \\ $$$$\mathrm{direction}\:\mathrm{as}\:\mathrm{the}\:\mathrm{bus},\:\:\mathrm{find}\:\mathrm{his}\:\mathrm{new}\:\mathrm{speed}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the}\:\mathrm{road}. \\ $$$$ \\ $$$$\mathrm{Answers} \\…

Question-114682

Question Number 114682 by 175mohamed last updated on 20/Sep/20 Answered by mindispower last updated on 20/Sep/20 $$\forall{k}\in\left[\mathrm{2},{n}\right] \\ $$$${tg}\left({a}_{{k}} \right)−{tg}\left({a}_{{k}−\mathrm{1}} \right)=\frac{{sin}\left({a}_{{k}} \right)}{{cos}\left({a}_{{k}} \right)}−\frac{{sin}\left({a}_{{k}−\mathrm{1}} \right)}{{cos}\left({a}_{{k}−\mathrm{1}} \right)}…

Given-that-the-equation-3x-2-mx-n-0-has-roots-1-and-1-find-the-value-of-m-and-n-

Question Number 49118 by Rio Michael last updated on 03/Dec/18 $${Given}\:{that}\:{the}\:{equation}\:\:\mathrm{3}{x}^{\mathrm{2}} +{mx}+{n}=\mathrm{0}\:{has}\:{roots}\:\alpha\:+\:\frac{\mathrm{1}}{\beta}\:{and} \\ $$$$\beta\:+\:\frac{\mathrm{1}}{\alpha\:}\:{find}\:{the}\:{value}\:{of}\:\:{m}\:{and}\:{n} \\ $$$$ \\ $$ Answered by Kunal12588 last updated on 03/Dec/18…