Question Number 21722 by mondodotto@gmail.com last updated on 02/Oct/17 Answered by mrW1 last updated on 02/Oct/17 $$\mathrm{cos}^{\mathrm{2}} \:\mathrm{x}+\mathrm{3sin}\:\mathrm{2x}=\mathrm{2} \\ $$$$\mathrm{2cos}^{\mathrm{2}} \:\mathrm{x}+\mathrm{6sin}\:\mathrm{2x}=\mathrm{4} \\ $$$$\mathrm{2cos}^{\mathrm{2}} \:\mathrm{x}−\mathrm{1}+\mathrm{6sin}\:\mathrm{2x}=\mathrm{3} \\…
Question Number 152793 by 7770 last updated on 01/Sep/21 $$\:\int!\boldsymbol{{dx}} \\ $$$$ \\ $$$$\:\boldsymbol{{i}}\:\boldsymbol{{found}}\:\:\boldsymbol{{this}}\:\boldsymbol{{question}}\:\boldsymbol{{somewhere}} \\ $$$$\:\boldsymbol{{and}}\:\boldsymbol{{i}}\:\boldsymbol{{dont}}\:\boldsymbol{{know}}\:\boldsymbol{{even}}\:\boldsymbol{{know}}\:\boldsymbol{{how}}\:\boldsymbol{{to}} \\ $$$$\boldsymbol{{approach}}\:\boldsymbol{{it}}. \\ $$ Commented by MJS_new last updated…
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Question Number 87245 by redmiiuser last updated on 03/Apr/20 $${expand}\: \\ $$$$\left(\mathrm{1}+{x}\right)^{−\mathrm{1}} \\ $$$${using}\:{maclaurins} \\ $$$${theorem}\:{and}\:{talyors} \\ $$$${formula} \\ $$ Commented by jagoll last updated…
Question Number 152772 by Rankut last updated on 01/Sep/21 $$\boldsymbol{{if}}\:\:\sqrt[{\mathrm{3}}]{\sqrt[{\mathrm{3}}]{\boldsymbol{{x}}−\mathrm{2}}+\mathrm{2}}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{2}−\sqrt[{\mathrm{3}}]{\boldsymbol{{x}}−\mathrm{2}}}=\mathrm{2} \\ $$$$\:\boldsymbol{\mathrm{then}}\:\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\: \\ $$$$\sqrt{\mathrm{198}\boldsymbol{\mathrm{x}}^{\mathrm{4}} −\mathrm{868}\boldsymbol{\mathrm{x}}^{\mathrm{3}} −\mathrm{229}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{200}\boldsymbol{\mathrm{x}}} \\ $$ Commented by Rankut last updated on…
Question Number 152770 by naka3546 last updated on 01/Sep/21 $${How}\:\:{to}\:\:{prove}\:\:{that} \\ $$$$\:\:{a}<{b}<{c}\:\:\Rightarrow\:\:{a}+{b}\:>\:{c} \\ $$$${which}\:\:{a},{b},{c}\:\:{are}\:\:{sides}\:\:{of}\:\:{a}\:\:{triangle}\:? \\ $$ Commented by MJS_new last updated on 01/Sep/21 $${a}+{b}>{c}\wedge{a}+{c}>{b}\wedge{b}+{c}>{a}\:\Leftrightarrow\:{a},\:{b},\:{c}\:\mathrm{are}\:\mathrm{sides} \\…
Question Number 21636 by mondodotto@gmail.com last updated on 29/Sep/17 Commented by mondodotto@gmail.com last updated on 30/Sep/17 $$\mathrm{please}\:\mathrm{help}! \\ $$ Answered by Tinkutara last updated on…
Question Number 87171 by naka3546 last updated on 03/Apr/20 $${Given}\:\:{f}\left({x}\right)\:\:=\:\:\mathrm{2}\:\mathrm{sin}^{\mathrm{2}} \:{x}\:−\:\mathrm{sin}\:{x}\:+\:\mathrm{1}\:\:,\:\:\mathrm{0}\:\:\leqslant\:{x}\:\leqslant\:\mathrm{2}\pi \\ $$$${Find}\:\:{maximum}\:\:{and}\:\:{minumum}\:\:{value} \\ $$$${of}\:\:{f}\left({x}\right)\:\:{without}\:\:{differential}\:. \\ $$ Commented by john santu last updated on 03/Apr/20…
Question Number 152692 by ZiYangLee last updated on 31/Aug/21 $$\mathrm{If}\:{b}\:\mathrm{and}\:{h}\:\mathrm{are}\:\mathrm{two}\:\mathrm{integers}\:\mathrm{with}\:{b}>{h}, \\ $$$$\mathrm{and}\:{b}^{\mathrm{2}} +{h}^{\mathrm{2}} ={b}\left({a}+{h}\right)+{ah}, \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{b}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 152691 by ZiYangLee last updated on 31/Aug/21 $$\mathrm{If}\:{a},{p},{q}\:\mathrm{are}\:\mathrm{primes}\:\mathrm{with}\:{a}<{p},\:\mathrm{and} \\ $$$${a}+{p}={q},\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{a}. \\ $$ Answered by Rasheed.Sindhi last updated on 01/Sep/21 $${odd}+{odd}={even} \\ $$$$\Rightarrow{odd}\:{prime}+{odd}\:{prime}={even} \\…