Question Number 87179 by peter frank last updated on 03/Apr/20 Commented by peter frank last updated on 03/Apr/20 $${qn}\:\mathrm{2} \\ $$ Commented by Rio Michael…
Question Number 152715 by Tawa11 last updated on 31/Aug/21 $$\mathrm{By}\:\mathrm{eliminating}\:\:\theta,\:\:\:\mathrm{show}\:\mathrm{that}\:\:\:\:\:\mathrm{x}^{\mathrm{2}} \:\:\:=\:\:\:−\:\:\:\mathrm{y}^{\mathrm{2}} ,\:\:\:\:\:\: \\ $$$$\mathrm{if}\:\:\:\:\:\mathrm{x}\:\mathrm{sin}^{\mathrm{3}} \theta\:\:\:+\:\:\:\mathrm{y}\:\mathrm{cos}^{\mathrm{3}} \theta\:\:\:\:=\:\:\:\:\mathrm{sin}\theta\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{and}\:\:\:\:\:\:\:\:\mathrm{x}\:\mathrm{sin}\theta\:\:\:\:−\:\:\:\mathrm{y}\:\mathrm{cos}\theta\:\:\:\:=\:\:\:\:\mathrm{0} \\ $$ Commented by Tawa11 last updated on 02/Sep/21…
Question Number 152714 by talminator2856791 last updated on 06/Oct/21 $$\: \\ $$$$\: \\ $$$$\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \:\:\:\frac{{x}+{y}^{\mathrm{2}} +{z}^{\mathrm{3}} +\mathrm{1}}{\:\sqrt{{x}+{y}+{z}}+\mathrm{1}}\:\:\:{dxdydz} \\ $$$$\: \\…
Question Number 87175 by john santu last updated on 03/Apr/20 $$\mathrm{if}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of}\:\left(\mathrm{1}+\mathrm{x}\right)^{\mathrm{n}} \:\mathrm{the} \\ $$$$\mathrm{coefficient}\:\mathrm{of}\:\mathrm{x}^{\mathrm{9}} \:\mathrm{is}\:\mathrm{the}\:\mathrm{aritmetic}\: \\ $$$$\mathrm{mean}\:\mathrm{of}\:\mathrm{the}\:\mathrm{coeficients}\:\mathrm{of}\:\mathrm{x}^{\mathrm{8}} \:\mathrm{and}\: \\ $$$$\mathrm{x}^{\mathrm{10}} .\:\mathrm{find}\:\mathrm{the}\:\mathrm{possible}\:\mathrm{value}\: \\ $$$$\mathrm{of}\:\mathrm{n}\:\mathrm{where}\:\mathrm{n}\:\mathrm{is}\:\mathrm{a}\:\mathrm{positive}\:\mathrm{integer} \\ $$…
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 21634 by Isse last updated on 29/Sep/17 $$\int\mathrm{3}{tan}\mathrm{2}{t} \\ $$ Answered by Joel577 last updated on 30/Sep/17 $${I}\:=\:\int\:\mathrm{3tan}\:\mathrm{2}{t}\:{dt} \\ $$$$\mathrm{Let}\:{u}\:=\:\mathrm{2}{t}\:\:\rightarrow\:\:{du}\:=\:\mathrm{2}\:{dt} \\ $$$${I}\:=\:\frac{\mathrm{3}}{\mathrm{2}}\:\int\:\mathrm{tan}\:{u}\:{du} \\…
Question Number 87168 by mathocean1 last updated on 03/Apr/20 $${Calculate}\:{these}\:{limits}: \\ $$$${Please}\:{sirs}\:{detail}\: \\ $$ Commented by john santu last updated on 03/Apr/20 $$\left.\mathrm{a}\right)\:\mathrm{change}\:\mathrm{x}\:\Rightarrow−\mathrm{t}\: \\ $$$$\underset{\mathrm{t}\rightarrow\infty}…
Question Number 152701 by talminator2856791 last updated on 31/Aug/21 $$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{−\infty} ^{\:\infty} \:\frac{\mathrm{1}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}\:\:{dx} \\ $$$$\: \\ $$$$\: \\ $$ Terms of…
Question Number 152703 by talminator2856791 last updated on 31/Aug/21 $$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \:\:\frac{{x}+{y}^{\mathrm{2}} +{z}^{\mathrm{3}} }{{x}+{y}+{z}}\:\:\:{dxdydz} \\ $$$$\: \\…