Question Number 5235 by sanusihammed last updated on 02/May/16 $${Find}\:{the}\:{range}\:{and}\:{domain}\:{of}\: \\ $$$${y}\:=\:\frac{\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{10}\right)}{{x}^{\mathrm{2}} +\mathrm{6}{x}+\mathrm{8}} \\ $$ Answered by Yozzii last updated on 02/May/16 $${x}^{\mathrm{2}} +\mathrm{6}{x}+\mathrm{8}=\left({x}+\mathrm{3}\right)^{\mathrm{2}}…
Question Number 5234 by sanusihammed last updated on 02/May/16 $${Show}\:{that}\:{f}\left({x}\right)\:=\:{x}^{\mathrm{2}} \:.\:\:\mid{x}\mid\:\:=\:\:{odd} \\ $$ Answered by prakash jain last updated on 02/May/16 $${a}.\:{x}\geqslant\mathrm{0} \\ $$$${f}\left({x}\right)={x}^{\mathrm{2}} \centerdot{x}={x}^{\mathrm{3}}…
Question Number 5232 by sanusihammed last updated on 02/May/16 $${If}\:{f}\left({x}\right)\:=\:\frac{{x}^{\mathrm{2}} −\mathrm{4}}{{x}−\mathrm{2}}\:\:\:\: \\ $$$$\:\:\:\:{x}\rightarrow\mathrm{2} \\ $$$$ \\ $$$$\alpha\:=\:\mathrm{3}\:.\:\Sigma\:=\:\mathrm{0}.\mathrm{1}\:\:\:{find}\:\:\:\delta \\ $$$$ \\ $$$${Alpha}\:=\:\mathrm{3}\:\:\:{Epsalum}\:=\:\mathrm{0}.\mathrm{1}\:{Find}\:{delta} \\ $$ Commented by…
Question Number 136270 by EDWIN88 last updated on 20/Mar/21 $$\mathrm{What}\:\mathrm{is}\:\mathrm{range}\:\mathrm{of}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)=\left(\mathrm{x}+\mathrm{1}\right)\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}+\mathrm{3}\right)\left(\mathrm{x}+\mathrm{4}\right)+\mathrm{1} \\ $$$$\mathrm{where}\:\mathrm{x}\:\in\:\left[\:−\mathrm{1},\:\mathrm{1}\:\right] \\ $$ Answered by mr W last updated on 20/Mar/21 $${f}\left({x}\right)=\left({x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{4}\right)\left({x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6}\right)+\mathrm{1}…
Question Number 136259 by liberty last updated on 20/Mar/21 $${Given}\:\mathrm{2}{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{{x}}\right)=\mathrm{6}{x}+\frac{\mathrm{3}}{{x}} \\ $$$${then}\:\int_{\mathrm{1}} ^{\:\mathrm{2}} {f}\left({x}\right){dx}=? \\ $$ Answered by EDWIN88 last updated on 20/Mar/21 $$\mathrm{Replacing}\:\mathrm{x}\:\mathrm{by}\:\frac{\mathrm{1}}{\mathrm{x}}\:\mathrm{gives} \\…
Question Number 70596 by mathmax by abdo last updated on 06/Oct/19 $${caoculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\frac{{cos}\left({sin}\left({x}^{\mathrm{2}} \right)\right)−\mathrm{1}}{{x}^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated on…
Question Number 70595 by mathmax by abdo last updated on 06/Oct/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last…
Question Number 136124 by bramlexs22 last updated on 18/Mar/21 $$ \\ $$Given a quadratic function f(x) =3-4k-(k+3) x-x^2, where k is a constant, is always…
Question Number 136033 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{explicite}\:\mathrm{f}\left(\mathrm{t}\right)=\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{e}^{−\mathrm{t}\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)} }{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}\:\:\mathrm{with}\:\mathrm{t}\geqslant\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 136032 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{proof}\:\mathrm{the}\:\mathrm{existence}\:\mathrm{of}\:\:\mathrm{x}_{\mathrm{1}} ,\mathrm{x}_{\mathrm{2}} ,….\mathrm{x}_{\mathrm{n}} \:\mathrm{integr}\:\mathrm{natural}\:/ \\ $$$$\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{1}} }+\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{2}} }+…+\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{n}} }\:=\mathrm{1}\:\:\mathrm{with}\:\mathrm{x}_{\mathrm{i}} \neq\mathrm{x}_{\mathrm{j}} \:\mathrm{for}\:\mathrm{i}\neq\mathrm{j} \\ $$ Terms…