Question Number 4773 by madscientist last updated on 08/Mar/16 $${lim}_{{x}\rightarrow\mathrm{0}\:} \:\frac{{sin}\left({x}\right)}{{x}}=\:\mathrm{1} \\ $$$${how}\:{is}\:{this}\:{so}? \\ $$$$ \\ $$ Commented by Yozzii last updated on 13/Mar/16 $${For}\:{x}\:{near}\:{zero},\:{the}\:{function}\:{sinx}…
Question Number 4772 by Yozzii last updated on 07/Mar/16 $${Let}\:{z}={Ax}^{\mathrm{2}} +{Bxy}+{Cy}^{\mathrm{2}} .\:{Find}\:{conditions} \\ $$$${on}\:{the}\:{constants}\:{A},{B},{C}\:{that}\:{ensure} \\ $$$${that}\:{the}\:{point}\:\left(\mathrm{0},\mathrm{0},\mathrm{0}\right)\:{is}\:{a}\: \\ $$$$\left({i}\right)\:{local}\:{minimum}, \\ $$$$\left({ii}\right)\:{local}\:{maximum}, \\ $$$$\left({ii}\right)\:{saddle}\:{point}. \\ $$$$ \\…
Question Number 135841 by abdurehime last updated on 17/Mar/21 Answered by dhgt last updated on 04/May/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 135840 by abdurehime last updated on 16/Mar/21 Answered by liberty last updated on 16/Mar/21 $${from}\:{p}\Rightarrow\:\backsim{q}\:{False}\:{we}\:{get}\:\begin{cases}{{p}\::\:{T}}\\{{q}\::\:{T}}\end{cases} \\ $$$${so}\:{the}\:{following}\:{statements}\:{is} \\ $$$${True}\::\:\left({p} \sim{q}\right)\Leftrightarrow\left(\sim{r} {r}\right) \\ $$$${answer}\::\:{C}…
Question Number 135838 by abdurehime last updated on 16/Mar/21 Answered by liberty last updated on 16/Mar/21 $${f}\left({x}\right)=\:\frac{{x}}{{x}^{\mathrm{2}} +{k}}\:\Rightarrow\mathrm{ln}\:{y}\:=\:\mathrm{ln}\:{x}−\mathrm{ln}\:\left({x}^{\mathrm{2}} +{k}\right) \\ $$$$\:\frac{{y}'}{{y}}\:=\:\frac{\mathrm{1}}{{x}}−\frac{\mathrm{2}{x}}{{x}^{\mathrm{2}} +{k}} \\ $$$$\frac{{y}'}{{y}}\:=\:\frac{{k}−{x}^{\mathrm{2}} }{{x}\left({x}^{\mathrm{2}}…
Question Number 70298 by naka3546 last updated on 03/Oct/19 Answered by mr W last updated on 03/Oct/19 Commented by mr W last updated on 03/Oct/19…
Question Number 70296 by 7890542135678 last updated on 03/Oct/19 Commented by 7890542135678 last updated on 03/Oct/19 $${Find}\:\angle{BAC} \\ $$ Answered by mr W last updated…
Question Number 4760 by malwaan last updated on 06/Mar/16 $${the}\:{number}\:\mathrm{27000001} \\ $$$${has}\:\mathrm{4}\:{prime}\:{factors}. \\ $$$${find}\:{thier}\:{sum} \\ $$ Commented by prakash jain last updated on 06/Mar/16 $$\mathrm{7},\mathrm{43},\mathrm{271},\mathrm{331}…
Question Number 4758 by madscientist last updated on 05/Mar/16 $$\int_{−\infty} ^{\infty} {e}^{−{x}^{\mathrm{2}\:} } \:{dx}\:=\:\sqrt{\pi\:} \\ $$$${is}\:{this}\:{true},\:{if}\:{so}\:{how}? \\ $$ Answered by Yozzii last updated on 05/Mar/16…
Question Number 135824 by Khakie last updated on 16/Mar/21 $$\int_{\mathrm{0}} ^{{a}} \:\frac{{x}^{\mathrm{4}} \:\:{e}^{{x}} }{\left({e}^{{x}} \:−\mathrm{1}\right)^{\mathrm{2}} }\:{dt} \\ $$$$ \\ $$$${please}\:{solve}\:{this}… \\ $$ Commented by mathmax…