Question Number 145549 by physicstutes last updated on 05/Jul/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{asymptotes}\:\mathrm{to}\:\mathrm{the}\:\mathrm{curve} \\ $$$$\:{y}\:=\:{f}\left({x}\right)\:\mathrm{where}\:{f}\left({x}\right)\:=\:\mathrm{ln}\left(\frac{{x}+\mathrm{3}}{{x}−\mathrm{1}}\right)\:.\: \\ $$ Answered by gsk2684 last updated on 06/Jul/21 $$\mathrm{function}\:\mathrm{is}\:\mathrm{defined}\:\mathrm{only}\:\mathrm{if}\: \\ $$$$\mathrm{0}<\frac{\mathrm{x}+\mathrm{3}}{\mathrm{x}−\mathrm{1}}\Rightarrow\mathrm{0}<\left(\mathrm{x}+\mathrm{3}\right)\left(\mathrm{x}−\mathrm{1}\right) \\…
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Question Number 145547 by physicstutes last updated on 05/Jul/21 $${I}_{{m},{n}} \:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{1}−{x}^{{m}} \right)^{{n}} {dx} \\ $$$$\mathrm{Show}\:\mathrm{that}\:{I}_{{m},{n}} \left({mn}+\mathrm{1}\right)\:=\:{I}_{{m},{n}−\mathrm{1}} \\ $$ Answered by qaz last updated…
Question Number 145517 by bramlexs22 last updated on 05/Jul/21 $${Find}\:{the}\:{center}\:{of}\:{mass}\:{for}\: \\ $$$${the}\:{thin}\:{plate}\:{bounded}\:{by}\: \\ $$$${curves}\:{g}\left({x}\right)=\frac{{x}}{\mathrm{2}}\:{and}\:{f}\left({x}\right)=\sqrt{{x}} \\ $$$$,\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1}\:. \\ $$ Answered by iloveisrael last updated on 05/Jul/21…
Question Number 145519 by mnjuly1970 last updated on 05/Jul/21 Commented by mnjuly1970 last updated on 05/Jul/21 $$\:\:\:{please}\:{prove}\:\Uparrow\Uparrow\Uparrow \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 14431 by tawa tawa last updated on 31/May/17 $$\int\:\:\frac{\mathrm{3x}\:\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{4x}^{\mathrm{2}} \right)}{\:\sqrt{\mathrm{1}\:−\:\mathrm{16x}^{\mathrm{4}} }}\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 14401 by tawa tawa last updated on 31/May/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{contour}\:\mathrm{integral}\:\:\:\int\:\mathrm{c}\:\mathrm{z}^{\mathrm{z}} \:\mathrm{dz} \\ $$$$\mathrm{Along}\:\mathrm{the}\:\mathrm{path}\:\mathrm{C}\:\mathrm{from}\:\:−\mathrm{1}+\mathrm{j}\:\mathrm{to}\:\mathrm{5}+\mathrm{j3}\:\:\mathrm{and}\:\mathrm{composed}\:\mathrm{of}\:\mathrm{two}\:\mathrm{straight}\:\mathrm{line}\: \\ $$$$\mathrm{segments}\:\mathrm{the}\:\mathrm{first}\:\mathrm{from}\:\:−\mathrm{1}+\mathrm{j}\:\mathrm{to}\:\mathrm{5}+\mathrm{j}\:\mathrm{to}\:\mathrm{5}+\mathrm{j3} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 14399 by tawa tawa last updated on 31/May/17 $$\mathrm{Evaluate}:\:\:\:\:\:\:\int\:\frac{\mathrm{1}\:+\:\mathrm{e}^{\mathrm{x}} \:−\:\mathrm{e}^{\mathrm{3x}} }{\mathrm{e}^{−\mathrm{x}} \:−\:\mathrm{e}^{\mathrm{x}} }\:\:\mathrm{dx} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 31/May/17 $${e}^{{x}}…
Question Number 14395 by tawa tawa last updated on 31/May/17 $$\mathrm{Evaluate}\:\:\:\:\:\:\int_{\:\:\:\mathrm{0}} ^{\:\:\frac{\pi}{\mathrm{2}}} \:\mathrm{sin}\left(\mathrm{2x}\right)\:\mathrm{e}^{\mathrm{cos}^{\mathrm{2}} \left(\mathrm{x}\right)} \:\mathrm{dx}\: \\ $$ Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 31/May/17 $${u}={cos}^{\mathrm{2}}…
Question Number 79929 by Shomurodov Sirojiddin last updated on 29/Jan/20 $$\int{e}^{\sqrt{\mathrm{sin}\:{x}}} {dx}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com