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lim-x-0-1-cos-2x-1-cos-x-

Question Number 139766 by mohammad17 last updated on 01/May/21 $${lim}_{{x}\rightarrow\mathrm{0}} \left(\frac{\sqrt{\mathrm{1}−{cos}\left(\mathrm{2}{x}\right)}}{\mathrm{1}−{cos}\left({x}\right)}\right) \\ $$ Answered by bramlexs22 last updated on 01/May/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}−\left(\mathrm{1}−\mathrm{2sin}\:^{\mathrm{2}} \mathrm{x}\right)}}{\mathrm{1}−\mathrm{cos}\:\mathrm{x}} \\ $$$$=\:\underset{{x}\rightarrow\mathrm{0}}…

Question-8683

Question Number 8683 by 314159 last updated on 21/Oct/16 Commented by prakash jain last updated on 21/Oct/16 $${x}^{\mathrm{4}} −\mathrm{4}{cx}^{\mathrm{2}} +\mathrm{6}{x}^{\mathrm{2}} +{x}+\mathrm{1}=\left({x}−{p}\right)^{\mathrm{2}} \left({x}−{a}\right)\left({x}−{b}\right) \\ $$$$={x}^{\mathrm{4}} −\left(\mathrm{2}{p}+{a}+{b}\right){x}^{\mathrm{3}}…

log-2-5-2-2-4-

Question Number 139744 by mathocean1 last updated on 30/Apr/21 $${log}_{\mathrm{2}} \left(\mathrm{5}^{\mathrm{2}} ×\mathrm{2}^{\mathrm{4}} \right)=? \\ $$ Commented by mohammad17 last updated on 01/May/21 $$={log}_{\mathrm{2}} \left(\mathrm{5}^{\mathrm{2}} \right)+{log}_{\mathrm{2}}…

n-N-a-n-5-n-1-5-n-We-can-say-that-a-n-is-always-odd-a-n-is-always-even-It-depends-of-n-The-sign-of-a-n-depends-of-n-

Question Number 139745 by mathocean1 last updated on 01/May/21 $${n}\:\in\:\mathbb{N}. \\ $$$${a}_{{n}} =\mathrm{5}^{{n}+\mathrm{1}} +\mathrm{5}^{{n}} \:{We}\:{can}\:{say}\:{that}: \\ $$$$\bullet\:{a}_{{n}} \:{is}\:{always}\:{odd}. \\ $$$$\bullet\:{a}_{{n}} \:{is}\:{always}\:{even}. \\ $$$$\bullet\:{It}\:{depends}\:{of}\:{n}. \\ $$$$\bullet\:{The}\:{sign}\:{of}\:{a}_{{n}}…

A-man-invite-5-friends-choosen-from-10-for-a-diner-He-don-t-want-that-two-of-them-took-part-to-that-diner-The-number-of-ways-to-choose-her-friends-is-a-296-b-196-c-5-d-252-

Question Number 139741 by mathocean1 last updated on 30/Apr/21 $${A}\:{man}\:{invite}\:\mathrm{5}\:{friends}\:{choosen} \\ $$$${from}\:\mathrm{10}\:{for}\:{a}\:{diner}.\:{He}\:{don}'{t}\: \\ $$$${want}\:{that}\:{two}\:{of}\:{them}\:{took}\:{part} \\ $$$${to}\:{that}\:{diner}.\:{The}\:{number}\:{of} \\ $$$${ways}\:{to}\:{choose}\:{her}\:{friends}\:{is}: \\ $$$$\left.{a}\right)\mathrm{296} \\ $$$$\left.{b}\right)\mathrm{196} \\ $$$$\left.{c}\right)\mathrm{5} \\…

A-rectangular-blade-ABCD-is-hanged-up-on-A-If-AB-2-m-AD-3m-the-angle-between-AD-and-the-verticale-when-the-system-is-equilibred-is-a-56-3-b-Arcsin-2-3-c-41-8-d-33-7-

Question Number 139740 by mathocean1 last updated on 30/Apr/21 $${A}\:{rectangular}\:{blade}\:{ABCD}\:{is}\:{hanged}\:{up} \\ $$$${on}\:{A}.\:{If}\:{AB}=\mathrm{2}\:{m};\:{AD}=\mathrm{3}{m}\:,\:{the} \\ $$$${angle}\:{between}\:\left({AD}\right)\:{and}\:{the}\: \\ $$$${verticale}\:{when}\:{the}\:{system}\:{is}\: \\ $$$${equilibred}\:{is}: \\ $$$$\left.{a}\right)\mathrm{56}.\mathrm{3}\:° \\ $$$$\left.{b}\right){Arcsin}\frac{\mathrm{2}}{\mathrm{3}} \\ $$$$\left.{c}\right)\mathrm{41}.\mathrm{8}° \\…

Today-is-the-birthday-of-Matongue-His-age-is-the-double-of-his-daughter-s-age-Will-this-event-happen-in-the-futur-a-Yes-Each-two-years-b-Yes-In-two-years-c-No-d-Any-correct-answer-

Question Number 139742 by mathocean1 last updated on 30/Apr/21 $${Today}\:{is}\:{the}\:{birthday}\:{of}\:{Matongue}. \\ $$$${His}\:{age}\:{is}\:{the}\:{double}\:{of}\:{his}\:{daughter}'{s} \\ $$$${age}.\:{Will}\:{this}\:{event}\:{happen}\:{in}\:{the} \\ $$$${futur}? \\ $$$${a}.{Yes}\:{Each}\:{two}\:{years} \\ $$$${b}.\:{Yes}\:{In}\:{two}\:{years}. \\ $$$${c}.\:{No} \\ $$$${d}.\:{Any}\:{correct}\:{answer}. \\…