Question Number 63128 by Tawa1 last updated on 29/Jun/19 $$\mathrm{Examine}\:\mathrm{the}\:\mathrm{following}\:\mathrm{function}\:\mathrm{for}\:\mathrm{extreme}\:\mathrm{value} \\ $$$$\:\:\:\:\mathrm{f}\left(\mathrm{x},\:\mathrm{y}\right)\:\:=\:\:\mathrm{x}^{\mathrm{4}} \:+\:\mathrm{y}^{\mathrm{4}} \:−\:\mathrm{2x}^{\mathrm{3}} \:+\:\mathrm{4xy}\:−\:\mathrm{2y}^{\mathrm{2}} \\ $$ Commented by Hope last updated on 29/Jun/19 Commented…
Question Number 128660 by help last updated on 09/Jan/21 Commented by harckinwunmy last updated on 09/Jan/21 $${ff} \\ $$ Answered by liberty last updated on…
Question Number 63124 by necx1 last updated on 29/Jun/19 $${A}\:{solenoid}\:{is}\:\mathrm{40}{cm}\:{long},{has}\:{a}\:{cross} \\ $$$${sectional}\:{area}\:{of}\:\mathrm{8}.\mathrm{0}{cm}^{\mathrm{2}} \:{and}\:{is}\:{wound} \\ $$$${with}\:\mathrm{309}\:{turns}\:{of}\:{wire}\:{that}\:{carries}\:{a} \\ $$$${current}\:{of}\:\mathrm{1}.\mathrm{2}{A}.{The}\:{relative} \\ $$$${permeability}\:{of}\:{the}\:{iron}\:{core}\:{is}\:\mathrm{600}. \\ $$$${Compute}\:{the}\:\boldsymbol{{B}}\:{for}\:{the}\:{interior}\:{point} \\ $$$${and}\:{the}\:{flux}\:{through}\:{the}\:{solenoid}. \\ $$…
Question Number 128659 by liberty last updated on 09/Jan/21 $$\:\mathrm{tan}\:\left(\frac{\mathrm{3}\pi}{\mathrm{11}}\right)\:+\:\mathrm{4}\:\mathrm{sin}\:\left(\frac{\mathrm{2}\pi}{\mathrm{11}}\right)\:=\:?\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 128654 by john_santu last updated on 09/Jan/21 $$\:\underset{{x}\rightarrow\pi/\mathrm{4}} {\mathrm{lim}}\:\:\left[\:\frac{\sqrt[{\mathrm{3}}]{\mathrm{tan}\:\mathrm{x}}\:−\mathrm{1}}{\mathrm{2sin}\:^{\mathrm{2}} \mathrm{x}−\mathrm{1}}\:\right]\:=? \\ $$ Answered by bemath last updated on 09/Jan/21 Terms of Service Privacy…
Question Number 128652 by ajfour last updated on 09/Jan/21 Commented by ajfour last updated on 09/Jan/21 $${Find}\:{the}\:{radius}\:{of}\:{outer}\:{circle} \\ $$$${in}\:{terms}\:{of}\:{inradii}\:{R}\:{and}\:{r}\:{of} \\ $$$${two}\:{isosceles}\:{right}\:{angled}\: \\ $$$${triangles}\:\left({as}\:{shown},\:{see}\:{fig}\right). \\ $$…
Question Number 63117 by mugan deni last updated on 29/Jun/19 $$\int\frac{\mathrm{cos}\:{x}}{\mathrm{2}+\mathrm{3sin}\:{x}+\mathrm{sin}\:^{\mathrm{2}} {x}}{dx} \\ $$ Commented by mathmax by abdo last updated on 30/Jun/19 $${let}\:{I}\:=\int\:\:\frac{{cosx}}{{sin}^{\mathrm{2}} {x}+\mathrm{3}{sinx}\:+\mathrm{2}}{dx}\:\:{changement}\:{sinx}\:={t}\:{give}\:{cosxdx}\:={dt}\:\Rightarrow…
Question Number 63116 by mugan deni last updated on 29/Jun/19 $$\int\frac{\mathrm{1}+×}{\:\sqrt{\mathrm{1}+×^{\mathrm{2}} }}{dx} \\ $$ Commented by mathmax by abdo last updated on 30/Jun/19 $${let}\:{use}\:{the}\:{changement}\:{x}={tan}\theta\:\Rightarrow \\…
Question Number 128646 by Algoritm last updated on 09/Jan/21 Answered by Olaf last updated on 09/Jan/21 $${y}''−\frac{\mathrm{1}+{x}}{{x}}{y}'+\frac{{y}}{{x}}\:=\:\mathrm{0}\:\left(\mathrm{1}\right) \\ $$$${y}''−{y}'−\frac{{y}'−{y}}{{x}}\:=\:\mathrm{0}\:\left(\mathrm{2}\right) \\ $$$$\mathrm{Let}\:{u}\:=\:{y}'−{y}\:\left(\mathrm{3}\right) \\ $$$$\left(\mathrm{2}\right)\::\:{u}'−\frac{{u}}{{x}}\:=\:\mathrm{0} \\ $$$$\frac{{u}'}{{u}}\:=\:\frac{\mathrm{1}}{{x}}…
Question Number 128645 by john_santu last updated on 09/Jan/21 $$\:\mathrm{If}\:\mathrm{6tan}\:^{\mathrm{2}} \mathrm{x}+\mathrm{tan}\:\mathrm{x}.\mathrm{sec}\:\mathrm{x}\:=\:\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{where} \\ $$$$\frac{\pi}{\mathrm{2}}<\mathrm{x}<\frac{\mathrm{3}\pi}{\mathrm{2}}\:\mathrm{has}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{x}_{\mathrm{1}} \:\mathrm{and}\:\mathrm{x}_{\mathrm{2}} .\:\mathrm{Find} \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{sin}\:\left(\mathrm{x}_{\mathrm{1}} +\mathrm{x}_{\mathrm{2}} \right). \\ $$ Answered by liberty…