Question Number 131860 by aurpeyz last updated on 09/Feb/21 $${what}\:{is}\:{the}\:{magnitude}\:{and}\:\: \\ $$$${direction}\left({in}\:{degree}\right)\:{of}\:{this}\:{vector}? \\ $$$${F}=−\mathrm{3}×\mathrm{10}^{−\mathrm{6}} {i}−\mathrm{13}.\mathrm{35}×\mathrm{10}^{−\mathrm{6}} {j} \\ $$$$\left({a}\right)\:\mathrm{282}.\mathrm{5}^{\mathrm{0}} \:\left({b}\right)\mathrm{78}.\mathrm{5}^{\mathrm{0}} \:\left({c}\right)\:\mathrm{82}.\mathrm{5}^{\mathrm{0}} \:\left({d}\right)\mathrm{78}.\mathrm{5}^{\mathrm{0}} \\ $$$$\left({e}\right)\mathrm{282}.\mathrm{5}^{\mathrm{0}} \\ $$…
Question Number 66324 by mathmax by abdo last updated on 12/Aug/19 $${find}\:{nature}\:{of}\:{the}\:{serie}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{\mathrm{2}^{{n}} \:+{ln}\left({n}\right)} \\ $$ Commented by mathmax by abdo last updated…
Question Number 789 by 123456 last updated on 14/Mar/15 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\underset{{x}−{x}^{\mathrm{2}} } {\overset{\sqrt{{x}−{x}^{\mathrm{2}} }} {\int}}\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }{dydx}=? \\ $$$$\int\underset{\mathrm{B}} {\int}\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }{dxdy}\:\:\:\:\:\mathrm{B}=\left\{\left({x},{y}\right)\in\mathbb{R}^{\mathrm{2}} :{y}\geqslant{x}−{x}^{\mathrm{2}} \wedge{x}^{\mathrm{2}}…
Question Number 66325 by mathmax by abdo last updated on 12/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:{cos}^{\mathrm{4}} {x}\:{sin}^{\mathrm{2}} {x}\:{dx} \\ $$ Commented by Prithwish sen last updated on…
Question Number 66322 by mathmax by abdo last updated on 12/Aug/19 $${let}\:{f}\left({x}\right)=\left({cosx}\right)^{\frac{\mathrm{1}}{{x}}} \:\left(\:\mathrm{1}\right)\:\:{prove}\:{that}\:{f}\left({x}\right)\sim\mathrm{1}−\frac{{x}}{\mathrm{2}}+\frac{{x}^{\mathrm{2}} }{\mathrm{8}}\:\:\left(\:{x}\rightarrow\mathrm{0}\right) \\ $$$$\left(\mathrm{2}\right){ptove}\:{that}\:{f}^{'} \left({x}\right)\sim−\frac{\mathrm{2}}{\pi}\:{e}^{\left(\frac{\mathrm{1}}{{x}}−\mathrm{1}\right){ln}\left({cosx}\right)} \:\:\left({x}\rightarrow\frac{\pi}{\mathrm{2}}\right) \\ $$ Terms of Service Privacy Policy…
Question Number 787 by 123456 last updated on 22/Mar/15 $$\underset{{r}=\mathrm{1}} {\overset{+\infty} {\sum}}\sqrt{\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\mathrm{5}+\Gamma\left(\frac{\mathrm{2}}{\mathrm{2}+{x}^{\mathrm{2}{r}} }\right){dx}} \\ $$ Commented by 123456 last updated on 13/Mar/15 $$\underset{{r}=\mathrm{1}}…
Question Number 66323 by mathmax by abdo last updated on 12/Aug/19 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:\:\:\frac{{x}\left(\mathrm{1}+{cosx}\right)−\mathrm{2}{tanx}}{\mathrm{2}{x}−{sinx}−{tanx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 785 by rishabh last updated on 12/Mar/15 $${Prove}\:{that}\:{if}\:{two}\:{numbers}\:{are}\:{chosen} \\ $$$${at}\:{random}\:{then}\:{the}\:{probability}\:{that} \\ $$$${their}\:{sum}\:{is}\:{divisible}\:{by}\:{n}\:{is}\:\frac{\mathrm{1}}{{n}}. \\ $$ Answered by prakash jain last updated on 12/Mar/15 $$\mathrm{Sum}\:\mathrm{mod}\:{n}={k},\:\mathrm{where}\:\mathrm{0}\leqslant{k}\leqslant{n}−\mathrm{1}.…
Question Number 131858 by mohammad17 last updated on 09/Feb/21 Commented by mohammad17 last updated on 09/Feb/21 $${how}\:{can}\:{it}\:{solve}\:{this} \\ $$ Commented by Dwaipayan Shikari last updated…
Question Number 66321 by mathmax by abdo last updated on 12/Aug/19 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:\:\left({tan}\left(\frac{\pi}{\mathrm{2}+{x}}\right)\right)^{{x}} \\ $$ Commented by mathmax by abdo last updated on 24/Aug/19…