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…
Question Number 136029 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}} \:\frac{\mathrm{ln}\left(\frac{\mathrm{x}}{\mathrm{sinx}}\right)}{\mathrm{x}^{\mathrm{2}} } \\ $$ Answered by liberty last updated on 18/Mar/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{ln}\:{x}−\mathrm{ln}\:\mathrm{sin}\:{x}}{{x}^{\mathrm{2}}…
Question Number 136031 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{study}\:\mathrm{the}\:\mathrm{sequence}\:\:\mathrm{U}_{\mathrm{n}} =\sqrt{\frac{\mathrm{1}+\mathrm{u}_{\mathrm{n}−\mathrm{1}} }{\mathrm{2}}} \\ $$$$\mathrm{with}\:\mathrm{u}_{\mathrm{0}} =\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{and}\:\mathrm{determine}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{U}_{\mathrm{n}} \\ $$ Answered by mindispower last updated…
Question Number 136028 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{e}^{−\mathrm{x}} \mathrm{arctan}\left(\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}\right) \\ $$$$\mathrm{calculate}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{1}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136025 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{sove}\:\mathrm{y}^{''} +\mathrm{2y}−\mathrm{2}\:=\mathrm{xe}^{−\mathrm{x}} \mathrm{sin}\left(\mathrm{2x}\right)\:\:\mathrm{with}\:\mathrm{y}\left(\mathrm{0}\right)=\mathrm{1}\:\mathrm{and}\:\mathrm{y}^{'} \left(\mathrm{0}\right)=−\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136030 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{solve}\:\mathrm{y}^{\left(\mathrm{3}\right)} −\mathrm{2y}^{\left(\mathrm{2}\right)} \:+\mathrm{y}\:=\mathrm{x}−\mathrm{sinx} \\ $$ Answered by Ñï= last updated on 18/Mar/21 $${y}'''−\mathrm{2}{y}''+{y}={x}−\mathrm{sin}\:{x} \\…
Question Number 136024 by mathmax by abdo last updated on 18/Mar/21 $$\left.\mathrm{1}\right)\:\mathrm{decompose}\:\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{3}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right)\mathrm{determine}\:\int\:\mathrm{F}\left(\mathrm{x}\right)\mathrm{dx} \\ $$ Commented by yutytfjh67ihd last updated…