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Question-9839

Question Number 9839 by ridwan balatif last updated on 07/Jan/17 Commented by ridwan balatif last updated on 07/Jan/17 $$\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{is}\:\mathrm{real}\:\mathrm{that}\:\mathrm{fill}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}+\mathrm{y}=\mathrm{2} \\ $$$$\mathrm{if}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\sqrt{\mathrm{16}+\mathrm{3x}^{\mathrm{2}} }+\mathrm{2}\sqrt{\mathrm{73}+\mathrm{3y}^{\mathrm{2}} }=\mathrm{m} \\ $$$$\mathrm{count}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{m}^{\mathrm{2}}…

ab-c-let-a-p-b-q-0-c-aq-bp-pq-0-q-bp-c-p-a-say-4-2-8-4-3-2-6-8-1-1-0-0-And-if-q-b-p-ab-c-2b-0-And-if-p-q-c-p-a-c-p-bp-c-p-2-a-c-b-p-c-1-a-0-2p-a-c-b

Question Number 140908 by ajfour last updated on 14/May/21 $$\:\:{ab}={c} \\ $$$${let}\:\:\:\left({a}−{p}\right)\left({b}−{q}\right)=\mathrm{0} \\ $$$$\Rightarrow\:\:{c}−\left({aq}+{bp}\right)+{pq}=\mathrm{0} \\ $$$${q}=\frac{{bp}−{c}}{{p}−{a}} \\ $$$${say}\:\:\:\mathrm{4}×\mathrm{2}=\mathrm{8} \\ $$$$\:\:\:\:\:\left(\mathrm{4}−\mathrm{3}\right)\left(\mathrm{2}−\frac{\mathrm{6}−\mathrm{8}}{−\mathrm{1}}\right)=\mathrm{1}×\mathrm{0}=\mathrm{0} \\ $$$${And}\:\:{if}\:\:{q}={b} \\ $$$$\:\:{p}=\frac{{ab}−{c}}{\mathrm{2}{b}}=\mathrm{0} \\…

A-rubber-tube-can-be-divided-into-25-pieces-each-of-length-56cm-long-How-many-pieces-each-35cm-long-can-be-out-from-the-tube-

Question Number 75375 by otchereabdullai@gmail.com last updated on 10/Dec/19 $$\mathrm{A}\:\mathrm{rubber}\:\mathrm{tube}\:\mathrm{can}\:\mathrm{be}\:\mathrm{divided}\:\mathrm{into} \\ $$$$\mathrm{25}\:\mathrm{pieces}\:\mathrm{each}\:\mathrm{of}\:\mathrm{length}\:\mathrm{56cm}\:\mathrm{long}.\: \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{pieces}\:\mathrm{each}\:\mathrm{35cm}\:\mathrm{long}\:\mathrm{can}\: \\ $$$$\mathrm{be}\:\mathrm{out}\:\mathrm{from}\:\mathrm{the}\:\mathrm{tube}. \\ $$ Commented by MJS last updated on 10/Dec/19…

Where-is-YOZIA-since-this-days-is-being-long-i-saw-his-chat-here-

Question Number 9838 by tawakalitu last updated on 06/Jan/17 $$\mathrm{Where}\:\mathrm{is}\:\mathrm{YOZIA}\:\mathrm{since}\:\mathrm{this}\:\mathrm{days}. \\ $$$$\mathrm{is}\:\mathrm{being}\:\mathrm{long}\:\mathrm{i}\:\mathrm{saw}\:\mathrm{his}\:\mathrm{chat}\:\mathrm{here}. \\ $$ Commented by FilupSmith last updated on 07/Jan/17 $$\mathrm{I}\:\mathrm{like}\:\mathrm{a}\:\mathrm{lot}\:\mathrm{of}\:\mathrm{members}\:\mathrm{jave}\:\mathrm{moved}\:\mathrm{on}. \\ $$$$\mathrm{I}'\mathrm{ve}\:\mathrm{been}\:\mathrm{here}\:\mathrm{for}\:\mathrm{a}\:\mathrm{year}\:\mathrm{or}\:\mathrm{two}\:\mathrm{and}\:\mathrm{sadly} \\…

lim-x-0-1-cos-1-cos-x-x-tan-x-x-

Question Number 140905 by bramlexs22 last updated on 14/May/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{cos}\:\left(\mathrm{1}−\mathrm{cos}\:\mathrm{x}\right)}{\mathrm{x}\:\left(\mathrm{tan}\:\mathrm{x}−\mathrm{x}\right)}\:=? \\ $$ Answered by bramlexs22 last updated on 14/May/21 Answered by mathmax by abdo…

sin-x-cos-x-sin-5-x-cos-x-cos-3-x-sin-x-

Question Number 140907 by bramlexs22 last updated on 14/May/21 $$\:\sqrt{\mathrm{sin}\:\mathrm{x}}\:\mathrm{cos}\:\mathrm{x}\:−\sqrt{\mathrm{sin}\:^{\mathrm{5}} \mathrm{x}}\:\mathrm{cos}\:\mathrm{x}\:=\:\mathrm{cos}\:^{\mathrm{3}} \mathrm{x}\:\sqrt{\mathrm{sin}\:\mathrm{x}} \\ $$ Answered by john_santu last updated on 14/May/21 $$\sqrt{\mathrm{sin}\:{x}}\:\geqslant\:\mathrm{0} \\ $$$$\Rightarrow\sqrt{\mathrm{sin}\:{x}}\:\mathrm{cos}\:{x}\left(\mathrm{1}−\mathrm{sin}\:^{\mathrm{4}} \:{x}−\mathrm{cos}\:^{\mathrm{2}}…