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Question-94914

Question Number 94914 by 174 last updated on 21/May/20 Answered by mathmax by abdo last updated on 22/May/20 $$\mathrm{A}_{+} =\int\:\mathrm{x}^{\mathrm{2}} \left(\mathrm{a}^{\mathrm{2}} +\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{m}−\mathrm{1}} \:\mathrm{dx}\:\:\:\:\:\left(\mathrm{m}\:\mathrm{integr}\right)\:\Rightarrow\mathrm{x}=\mathrm{at} \\…

1-o-Prove-by-recrrence-that-for-n-28-n-11-n-2-o-Deduce-the-limite-of-the-suite-n-10-n-when-n-tend-verse-

Question Number 160361 by LEKOUMA last updated on 28/Nov/21 $$\mathrm{1}^{{o}} \:{Prove}\:{by}\:{recrrence}\:{that}\:,\:{for} \\ $$$${n}\geqslant\mathrm{28}\:,\:\:{n}!\geqslant\mathrm{11}^{{n}} . \\ $$$$\mathrm{2}^{{o}} \:{Deduce}\:{the}\:{limite}\:{of}\:{the}\:{suite} \\ $$$$\left(\frac{{n}!}{\mathrm{10}^{{n}} }\right)\:{when}\:{n}\:{tend}\:{verse}\:+\infty. \\ $$ Terms of Service…

A-train-which-travels-at-a-uniform-speed-due-to-mechanical-fault-after-traveling-for-an-hour-goes-at-3-5-th-of-the-original-speed-and-reaches-the-destination-2-hours-late-If-the-fault-occured-after

Question Number 94820 by jdmath last updated on 21/May/20 $${A}\:{train}\:{which}\:{travels}\:{at}\:{a}\:{uniform}\:{speed}\:{due}\:{to}\:{mechanical}\:{fault}\:{after}\: \\ $$$${traveling}\:{for}\:{an}\:{hour}\:{goes}\:{at}\:\mathrm{3}/\mathrm{5}\:{th}\:{of}\:{the}\:{original}\:{speed}\:{and}\:{reaches}\:{the}\: \\ $$$${destination}\:\mathrm{2}\:{hours}\:{late}.\:{If}\:{the}\:{fault}\:{occured}\:{after}\:{traveling}\:{another}\:\mathrm{50} \\ $$$${miles}\:{the}\:{train}\:{would}\:{have}\:{reached}\:\mathrm{40}\:{minutes}\:{earlier}.\:{What}\:{is}\:{the}\: \\ $$$${distance}\:{between}\:{the}\:{two}\:{stations}\:? \\ $$ Answered by prakash jain last…

2x-3x-3-y-2-4y-1-6xy-0-this-equation-has-an-answer-in-the-form-of-several-sentences-get-the-public-answer-

Question Number 29272 by sorour87 last updated on 06/Feb/18 $$\left(\mathrm{2}{x}−\mathrm{3}{x}^{\mathrm{3}} \right){y}^{\left(\mathrm{2}\right)} +\mathrm{4}{y}^{\left(\mathrm{1}\right)} +\mathrm{6}{xy}=\mathrm{0} \\ $$$${this}\:{equation}\:{has}\:{an}\:{answer}\:{in}\:{the}\:{form}\:{of}\:{several}\:{sentences}. \\ $$$${get}\:{the}\:{public}\:{answer}. \\ $$ Terms of Service Privacy Policy Contact:…

A-man-moves-20m-North-then-12m-East-and-finally-15m-South-His-displacement-from-the-starting-point-is-now-a-13m-b-27m-c-47m-d-23m-

Question Number 29268 by tawa tawa last updated on 06/Feb/18 $$\mathrm{A}\:\mathrm{man}\:\mathrm{moves}\:\:\mathrm{20m}\:\:\mathrm{North}\:,\:\:\mathrm{then}\:\:\mathrm{12m}\:\mathrm{East}\:\:\mathrm{and}\:\:\mathrm{finally}\:\:\mathrm{15m}\:\:\mathrm{South}.\mathrm{His} \\ $$$$\mathrm{displacement}\:\mathrm{from}\:\mathrm{the}\:\mathrm{starting}\:\mathrm{point}\:\mathrm{is}\:\mathrm{now} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{13m}\:\:\left(\mathrm{b}\right)\:\:\mathrm{27m}\:\:\left(\mathrm{c}\right)\:\:\mathrm{47m}\:\:\left(\mathrm{d}\right)\:\:\mathrm{23m} \\ $$ Commented by Rasheed.Sindhi last updated on 06/Feb/18 $$\left(\mathrm{a}\right)\mathrm{13}\:\mathrm{m}…

An-electric-pump-with-efficiency-of-70-raises-water-to-a-height-of-15m-If-water-is-delivered-at-the-rate-of-350-dm-3-per-minute-i-what-is-the-power-rating-of-the-pump-mass-of-1-dm-3

Question Number 29265 by tawa tawa last updated on 06/Feb/18 $$\mathrm{An}\:\mathrm{electric}\:\mathrm{pump}\:\mathrm{with}\:\mathrm{efficiency}\:\mathrm{of}\:\:\:\mathrm{70\%}\:\:\mathrm{raises}\:\mathrm{water}\:\mathrm{to}\:\mathrm{a}\:\mathrm{height}\:\mathrm{of}\:\:\mathrm{15m} \\ $$$$.\:\mathrm{If}\:\mathrm{water}\:\mathrm{is}\:\mathrm{delivered}\:\mathrm{at}\:\mathrm{the}\:\mathrm{rate}\:\mathrm{of}\:\:\mathrm{350}\:\mathrm{dm}^{\mathrm{3}} \:\mathrm{per}\:\mathrm{minute}.\:\: \\ $$$$\left(\mathrm{i}\right)\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{power}\:\mathrm{rating}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pump}\:?\:\:\:\left(\mathrm{mass}\:\mathrm{of}\:\mathrm{1}\:\mathrm{dm}^{\mathrm{3}} \:=\:\mathrm{1}\:\mathrm{kg}\right) \\ $$$$\left(\mathrm{ii}\right)\:\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{energy}\:\mathrm{lost}\:\mathrm{by}\:\mathrm{the}\:\mathrm{pump}\:?\:\:\:\left(\mathrm{g}\:=\:\mathrm{10}\:\mathrm{m}/\mathrm{s}^{\mathrm{2}} \right) \\ $$$$\left(\mathrm{Answer}:\:\:\:\mathrm{1250W}.\:\:\:\:\mathrm{22}.\mathrm{5}\:\mathrm{KJ}\right) \\ $$ Terms…