Question Number 8870 by FilupSmith last updated on 03/Nov/16 $$\mathrm{You}\:\mathrm{have}\:{n}\:\mathrm{dice}.\:\mathrm{Each}\:\mathrm{dice}\:\mathrm{has}\:{p}\:\mathrm{sides}, \\ $$$$\mathrm{labled}\:\mathrm{1}\:\mathrm{to}\:{p}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{of}\:\mathrm{rolling}\:{k}\:\:\:\:\:\left(\mathrm{1}\leqslant{k}\leqslant{p}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 139943 by mathsuji last updated on 02/May/21 $${The}\:{train}\:{is}\:{moving}\:{at}\:{a}\:{speed}\:{of}\:\mathrm{12}\:{m}/{san}. \\ $$$${In}\:{this}\:{cose},\:{it}\:{seems}\:{to}\:{the}\:{passenger} \\ $$$${in}\:{the}\:{car}\:{that}\:{the}\:{direction}\:{of}\:{the} \\ $$$${raindrops}\:{is}\:{at}\:{an}\:{angle}\:{of}\:\mathrm{30}\:{degrees} \\ $$$${to}\:{the}\:{vertical}.\:{Find}\:{the}\:\:{average} \\ $$$${speed}\:{of}\:{raindrops}. \\ $$ Terms of Service…
Question Number 8868 by tawakalitu last updated on 03/Nov/16 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 139936 by Snail last updated on 02/May/21 $${Find}\:{all}\:{integers}\:{x}\:{and}\:{y}\:{i}.{e}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{9999}\left({x}−{y}\right) \\ $$ Answered by Rasheed.Sindhi last updated on 04/May/21 $$\left({x}+{y}\right)^{\mathrm{2}} =\mathrm{9999}\left({x}−{y}\right)+\mathrm{2}{xy} \\ $$$$\left({x}−{y}\right)^{\mathrm{2}}…
Question Number 8865 by 7C;00 last updated on 03/Nov/16 $$\frac{\mathrm{1}^{\mathrm{2}} }{\mathrm{1}×\mathrm{3}}+\frac{\mathrm{2}^{\mathrm{2}} }{\mathrm{3}×\mathrm{5}}+…+\frac{{n}\mathrm{2}}{\left(\mathrm{2}{n}−\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{1}\right)}=\frac{{n}\left({n}+\mathrm{1}\right.}{\mathrm{2}\left(\mathrm{2}{n}+\mathrm{1}\right)} \\ $$ Answered by nume1114 last updated on 04/Nov/16 $$\frac{\mathrm{1}^{\mathrm{2}} }{\mathrm{1}×\mathrm{3}}+\frac{\mathrm{2}^{\mathrm{2}} }{\mathrm{3}×\mathrm{5}}+…+\frac{{n}^{\mathrm{2}} }{\left(\mathrm{2}{n}−\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{1}\right)}…
Question Number 139932 by Ar Brandon last updated on 02/May/21 $$\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{h}^{\mathrm{2}} }\int_{\mathrm{0}} ^{\mathrm{h}} \mathrm{d}\xi\int_{\mathrm{0}} ^{\mathrm{h}} \mathrm{f}\left(\mathrm{x}+\xi+\eta\right)\mathrm{d}\eta \\ $$$$\mathrm{Calculate}\:\mathrm{F}''\left(\mathrm{x}\right) \\ $$ Terms of Service Privacy Policy…
Question Number 8860 by MNG last updated on 02/Nov/16 Commented by ridwan balatif last updated on 02/Nov/16 $$\mathrm{2}.\:\mathrm{tanA}+\mathrm{cotA}=\mathrm{2cosec2A} \\ $$$$\:\:\:\:\:\:\frac{\mathrm{sinA}}{\mathrm{cosA}}+\frac{\mathrm{cosA}}{\mathrm{sinA}}=\mathrm{2cosec2A} \\ $$$$\:\:\:\:\:\frac{\mathrm{sin}^{\mathrm{2}} \mathrm{A}+\mathrm{cos}^{\mathrm{2}} \mathrm{A}}{\mathrm{sinA}×\mathrm{cosA}}=\mathrm{2cosec2A} \\…
Question Number 74394 by aliesam last updated on 23/Nov/19 Commented by mathmax by abdo last updated on 23/Nov/19 $$\left.\mathrm{1}\right)\:{let}\:{decompose}\:{F}\left({x}\right)=\frac{\mathrm{4}{x}^{\mathrm{2}} +{x}}{{x}^{\mathrm{3}} −\mathrm{81}{x}}\:\Rightarrow{F}\left({x}\right)=\frac{\mathrm{4}{x}^{\mathrm{2}} +{x}}{{x}\left({x}−\mathrm{9}\right)\left({x}+\mathrm{9}\right)} \\ $$$$=\frac{\mathrm{4}{x}+\mathrm{1}}{\left({x}−\mathrm{9}\right)\left({x}+\mathrm{9}\right)}\:=\frac{{a}}{{x}−\mathrm{9}}\:+\frac{{b}}{{x}+\mathrm{9}} \\…
Question Number 8859 by lepan last updated on 02/Nov/16 $${If}\:\frac{{tan}\left(\alpha+\beta−\gamma\right)}{{tan}\left({a}−\beta+\gamma\right)}=\frac{{tan}\gamma}{{tan}\beta}\:{then}\:{show} \\ $$$${that}\:{sin}\left(\beta−\gamma\right)=\mathrm{0}\:{or}\:{sin}\mathrm{2}\alpha+{sin}\mathrm{2}\beta+{sin}\mathrm{2}\Upsilon=\mathrm{0}. \\ $$ Answered by myintkhaing last updated on 03/Nov/16 Commented by myintkhaing last…
Question Number 139928 by qaz last updated on 02/May/21 $${prove}::\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} {ln}\left(\frac{\mathrm{5}}{\mathrm{4}}+\mathrm{sin}\:{x}\right){dx}=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com