Question Number 131094 by Chhing last updated on 01/Feb/21 $$\:\: \\ $$$$\:\:\:\mathrm{Calculate} \\ $$$$\:\:\mathrm{1}/\:\mathrm{I}\:=\:\oint_{\mathrm{c}^{+} } \frac{\mathrm{zdz}}{\left(\mathrm{z}−\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{z}^{\mathrm{2}} −\mathrm{2z}+\mathrm{1}−\mathrm{2i}\right)}\:\:,\mathrm{C}=\left\{\mathrm{z}/\mid\mathrm{z}\mid=\mathrm{2}\right\}\: \\ $$$$\:\:\mathrm{2}/\:\mathrm{J}\:=\oint_{\mathrm{c}^{+} } \frac{\mathrm{ch}\left(\mathrm{z}\right)\mathrm{dz}}{\mathrm{z}\left(\mathrm{e}^{\mathrm{z}} −\mathrm{1}\right)}\:\:,\:\:\mathrm{C}=\left\{\mathrm{z}/\mid\mathrm{z}−\mathrm{3i}\mid=\mathrm{4}\right\} \\ $$$$\:\:\mathrm{3}/\:\mathrm{K}=\oint_{\mathrm{c}^{+}…
Question Number 131083 by Dwaipayan Shikari last updated on 01/Feb/21 $$\mathrm{1}−\frac{\mathrm{1}}{\mathrm{5}−\frac{\mathrm{16}}{\mathrm{13}−\frac{\mathrm{81}}{\mathrm{25}−\frac{\mathrm{256}}{\mathrm{41}−\frac{\mathrm{625}}{\mathrm{61}−\frac{\mathrm{1296}}{\mathrm{85}−\frac{\mathrm{2401}}{\mathrm{113}−…}}}}}}}=\frac{\mathrm{6}}{\boldsymbol{\pi}^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 131078 by Dwaipayan Shikari last updated on 01/Feb/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}^{\mathrm{8}} +\mathrm{1}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 78496 by TawaTawa last updated on 18/Jan/20 Commented by mathmax by abdo last updated on 18/Jan/20 $${miss}\:{tawa}\:{are}\:{a}\:{theatcher}\:{or}\:{engineer}… \\ $$ Commented by TawaTawa last…
Question Number 12928 by tawa last updated on 07/May/17 Answered by sandy_suhendra last updated on 09/May/17 $$\mathrm{cosine}\:\mathrm{rule}\:\mathrm{in}\:\Delta\mathrm{ABC}\:: \\ $$$$\mathrm{x}^{\mathrm{2}} =\mathrm{d}^{\mathrm{2}} +\mathrm{d}^{\mathrm{2}} −\mathrm{2d}.\mathrm{d}.\mathrm{cos}\left(\mathrm{180}−\mathrm{2}\theta\right) \\ $$$$\mathrm{x}^{\mathrm{2}} =\mathrm{2d}^{\mathrm{2}}…
Question Number 12903 by tawa last updated on 06/May/17 Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 06/May/17 $$\boldsymbol{{y}}^{'} =\mathrm{6}\boldsymbol{{x}}−\mathrm{1}\Rightarrow\boldsymbol{{m}}_{\boldsymbol{{t}}} =\mathrm{6}×\mathrm{1}−\mathrm{1}=\mathrm{5} \\ $$$$\boldsymbol{{y}}−\boldsymbol{{y}}_{\boldsymbol{{t}}} =\boldsymbol{{m}}_{\boldsymbol{{t}}} \left(\boldsymbol{{x}}−\boldsymbol{{x}}_{\boldsymbol{{t}}} \right)\Rightarrow\boldsymbol{{y}}−\mathrm{2}=\mathrm{5}\left(\boldsymbol{{x}}−\mathrm{1}\right) \\…
Question Number 12895 by tawa last updated on 06/May/17 Commented by tawa last updated on 06/May/17 $$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$ Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on…
Question Number 12894 by tawa last updated on 06/May/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 06/May/17 $${S}=\pi\frac{{D}^{\mathrm{2}} }{\mathrm{4}}−\mathrm{3}×\pi\frac{{D}_{\mathrm{1}} ^{\mathrm{2}} }{\mathrm{4}}=\frac{\pi}{\mathrm{4}}\left(\mathrm{84}^{\mathrm{2}} −\mathrm{3}×\mathrm{42}^{\mathrm{2}} \right)=\mathrm{441}\pi\:.\blacksquare \\ $$ Commented…
Question Number 12873 by tawa last updated on 04/May/17 $$\mathrm{How}\:\mathrm{many}\:\mathrm{flouride}\:\mathrm{ion}\:\mathrm{are}\:\mathrm{there}\:\mathrm{in}\:\mathrm{1}.\mathrm{46}\:\mathrm{mole}\:\mathrm{of}\:\mathrm{aluminium}\:\mathrm{flouride}\:\mathrm{Alf}_{\mathrm{3}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 12874 by tawa last updated on 04/May/17 Answered by mrW1 last updated on 05/May/17 $$\frac{{dy}}{{dx}}=\mathrm{6}{x}−\mathrm{5} \\ $$$${y}=\int\left(\mathrm{6}{x}−\mathrm{5}\right){dx}=\mathrm{3}{x}^{\mathrm{2}} −\mathrm{5}{x}+{C} \\ $$$$\mathrm{5}=\mathrm{3}×\mathrm{2}^{\mathrm{2}} −\mathrm{5}×\mathrm{2}+{C} \\ $$$$\Rightarrow{C}=\mathrm{3}…