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Find-the-first-four-terms-of-the-power-series-expansion-of-sinx-1-x-

Question Number 7887 by tawakalitu last updated on 23/Sep/16 $${Find}\:{the}\:{first}\:{four}\:{terms}\:{of}\:{the}\:{power}\:{series}\: \\ $$$${expansion}\:{of}\:\:\:\:\:\frac{{sinx}}{\mathrm{1}\:−\:{x}}\:\:\: \\ $$ Answered by sandy_suhendra last updated on 23/Sep/16 $${from}\:{the}\:{power}\:{series}\:: \\ $$$${sin}\:{x}\:=\:\underset{{n}=\mathrm{0}} {\overset{\infty}…

Question-138959

Question Number 138959 by mathlove last updated on 20/Apr/21 Answered by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{a}^{\mathrm{x}^{\mathrm{2}} −\mathrm{1}} \:=\mathrm{e}^{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\mathrm{loga}} \:\sim\mathrm{1}+\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\mathrm{loga}\:\mathrm{and} \\…

pls-help-me-solve-this-chemistry-question-Considering-a-general-equilibrium-equation-mA-g-nB-g-xC-g-yD-g-where-m-n-x-and-y-are-the-coefficient-in-the-balanced-eqn-show-that-

Question Number 7884 by uchechukwu okorie favour last updated on 23/Sep/16 $${pls}\:{help}\:{me}\:{solve}\:{this}\:{chemistry} \\ $$$${question}: \\ $$$${Considering}\:{a}\:{general}\:{equilibrium} \\ $$$${equation}: \\ $$$${mA}_{\left({g}\right)} +{nB}_{\left({g}\right)} \leftrightharpoons{xC}_{\left({g}\right)\:\:} +{yD}_{\left({g}\right)} \\ $$$${where}\:{m},{n},{x}\:{and}\:{y}\:{are}\:{the}\:…

Let-a-b-c-be-the-lengths-of-the-sides-of-a-triangle-Show-that-abc-a-b-c-b-c-a-c-a-b-

Question Number 7883 by 314159 last updated on 23/Sep/16 $${Let}\:{a},{b},{c}\:{be}\:{the}\:{lengths}\:{of}\:{the}\:{sides}\:{of}\:{a}\:{triangle}. \\ $$$${Show}\:{that}\:{abc}\geqslant\left({a}+{b}−{c}\right)\left({b}+{c}−{a}\right)\left({c}+{a}−{b}\right). \\ $$ Commented by sou1618 last updated on 23/Sep/16 $$ \\ $$$${x}={a}+{b}−{c}>\mathrm{0} \\…

A-gets-1-5-of-some-amount-B-gets-1-3-of-remaining-C-gets-1-6-of-remaining-D-gets-1-7-of-remaining-and-E-gets-rest-of-amount-What-fraction-gets-E-

Question Number 7881 by Rasheed Soomro last updated on 23/Sep/16 $${A}\:{gets}\:\mathrm{1}/\mathrm{5}\:\:{of}\:\:{some}\:\:{amount}, \\ $$$${B}\:\:{gets}\:\mathrm{1}/\mathrm{3}\:\:{of}\:\:{remaining},\:{C} \\ $$$${gets}\:\mathrm{1}/\mathrm{6}\:{of}\:{remaining},\:{D}\:{gets} \\ $$$$\mathrm{1}/\mathrm{7}\:\:{of}\:\:{remaining}\:\:{and}\:{E}\:{gets} \\ $$$${rest}\:{of}\:{amount}.\:{What}\:{fraction} \\ $$$${gets}\:{E}\:? \\ $$ Commented by…

calculate-1-cos-1-i-sin-1-3i-2-arctan-i-arctan-2i-arctan-1-i-arctan-1-i-arctan-1-2i-3-have-us-conj-arctanz-arctan-z-

Question Number 73411 by mathmax by abdo last updated on 11/Nov/19 $${calculate}\:\: \\ $$$$\left.\mathrm{1}\right){cos}\left(\mathrm{1}+{i}\right)\:,\:{sin}\left(\mathrm{1}+\mathrm{3}{i}\right) \\ $$$$\left.\mathrm{2}\right)\:{arctan}\left({i}\right),\:{arctan}\left(\mathrm{2}{i}\right)\:,\:{arctan}\left(\mathrm{1}+{i}\right)\:,{arctan}\left(\mathrm{1}−{i}\right)\:, \\ $$$${arctan}\left(\mathrm{1}+\mathrm{2}{i}\right). \\ $$$$\left.\mathrm{3}\right)\:{have}\:{us}\:\:{conj}\left({arctanz}\right)={arctan}\left(\overset{−} {{z}}\right)? \\ $$ Commented by…

x-8-x-2-4x-16-dx-

Question Number 7872 by tawakalitu last updated on 22/Sep/16 $$\int\frac{{x}\:−\:\mathrm{8}}{{x}^{\mathrm{2}} \:+\:\mathrm{4}{x}\:+\:\mathrm{16}}\:{dx} \\ $$ Commented by prakash jain last updated on 23/Sep/16 $$\frac{{x}−\mathrm{8}}{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{16}}=\frac{{x}−\mathrm{8}}{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{4}+\mathrm{12}} \\…