Question Number 26513 by gunawan last updated on 26/Dec/17 $$\mathrm{let}\:{n}\:\mathrm{be}\:\mathrm{a}\:\mathrm{fixed}\:\mathrm{positive}\:\mathrm{integer}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{are}\:\mathrm{there}\:\mathrm{to}\:\mathrm{write}\:{n}\:\mathrm{as}\:\mathrm{a}\:\mathrm{sum}\:\mathrm{of} \\ $$$$\mathrm{positive}\:\mathrm{integers},\: \\ $$$${n}={a}_{\mathrm{1}} +{a}_{\mathrm{2}} +…+{a}_{{k}} \\ $$$$\mathrm{with}\:{k}\:\mathrm{arbitary}\:\mathrm{positive}\:\mathrm{integer}\:\mathrm{and}\:{a}_{\mathrm{1}} \leqslant{a}_{\mathrm{2}} …\leqslant{a}_{{k}} \leqslant{a}_{\mathrm{1}} +\mathrm{1}.\:\mathrm{for}\:\mathrm{example} \\ $$$$\mathrm{with}\:{n}=\mathrm{4},\:\mathrm{there}\:\mathrm{are}\:\mathrm{four}\:\mathrm{ways}\::\:\mathrm{4},\:\mathrm{2}+\mathrm{2},\:\mathrm{1}+\mathrm{1}+\mathrm{2},\mathrm{1}+\mathrm{1}+\mathrm{1}+\mathrm{1} \\…
Question Number 92025 by 675480065 last updated on 04/May/20 $$\int\left(\frac{\mathrm{x}−\mathrm{1}}{\mathrm{x}^{\mathrm{2}} −\mathrm{x}−\mathrm{1}}\right)\mathrm{dx} \\ $$ Commented by mathmax by abdo last updated on 04/May/20 $${I}\:=\int\:\frac{{x}−\mathrm{1}}{{x}^{\mathrm{2}} −{x}−\mathrm{1}}{dx}\:\Rightarrow\:{I}\:=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{\mathrm{2}{x}−\mathrm{1}−\mathrm{1}}{{x}^{\mathrm{2}} −{x}−\mathrm{1}}{dx}…
Question Number 92010 by Rio Michael last updated on 04/May/20 $$\mathrm{if}\:\mathrm{log}_{\mathrm{6}} \mathrm{30}\:=\:{a}\:\mathrm{and}\:\mathrm{log}_{\mathrm{24}} \mathrm{15}\:=\:{b} \\ $$$$\mathrm{log}_{\mathrm{12}} \mathrm{60}\:=\:? \\ $$ Answered by jagoll last updated on 04/May/20…
Question Number 26456 by Tinkutara last updated on 25/Dec/17 Commented by Tinkutara last updated on 25/Dec/17 http://ibb.co/msna76 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 91995 by boltzman last updated on 04/May/20 $${hello}\:{what}\:{is}\:{the}\:{metric}\:{of}\:{schwarzchild}\:{dynamics}. \\ $$ Commented by mr W last updated on 04/May/20 $${i}\:{don}'{t}\:{know}.\:{but}\:{if}\:{i}\:{were}\:{you},\:{i}\:{would} \\ $$$${ask}\:{google}. \\ $$$${the}\:{correct}\:{German}\:{name}\:{is}\:…
Question Number 26455 by yesaditya22@gmail.com last updated on 25/Dec/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26454 by yesaditya22@gmail.com last updated on 25/Dec/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26442 by onkararora45@gmail.com last updated on 25/Dec/17 $${find}\:{the}\:{lateral}\:{surface}\:{area}\:{of}\:{cuboid}\:= \\ $$$${L}=\mathrm{13}{m}\:\mathrm{12}{m}\:{and}\:\mathrm{10}{m} \\ $$ Commented by Rasheed.Sindhi last updated on 28/Dec/17 $$\mathrm{W}{hat}'{s}\:{meant}\:{by}\:'{lateral}\:{surface}'? \\ $$ Terms…
Question Number 26425 by tawa tawa last updated on 25/Dec/17 $$\mathrm{A}\:\mathrm{body}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{vertically}\:\mathrm{upward}\:\mathrm{with}\:\mathrm{an}\:\mathrm{initial}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{u}.\:\mathrm{Another} \\ $$$$\mathrm{Another}\:\mathrm{body}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{with}\:\mathrm{the}\:\mathrm{same}\:\mathrm{initial}\:\mathrm{velocity},\:\mathrm{t}\:\mathrm{seconds}\:\mathrm{after} \\ $$$$\mathrm{the}\:\mathrm{first}.\:\mathrm{If}\:\:\mathrm{T}\:\mathrm{is}\:\mathrm{the}\:\mathrm{time}\:\mathrm{when}\:\mathrm{the}\:\mathrm{two}\:\mathrm{bodies}\:\mathrm{meet},\:\mathrm{and}\:\mathrm{g}\:\mathrm{the}\:\mathrm{acceleration} \\ $$$$\mathrm{due}\:\mathrm{to}\:\mathrm{gravity},\:\mathrm{Show}\:\mathrm{that}\:\:\:\boldsymbol{\mathrm{T}}\:=\:\frac{\mathrm{2u}\:+\:\mathrm{gt}}{\mathrm{2g}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 26424 by tawa tawa last updated on 25/Dec/17 $$\mathrm{The}\:\mathrm{front}\:\mathrm{of}\:\mathrm{a}\:\mathrm{train}\:\mathrm{80m}\:\mathrm{long}\:\mathrm{passes}\:\mathrm{a}\:\mathrm{signal}\:\mathrm{at}\:\mathrm{a}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{72km}/\mathrm{hr}.\:\mathrm{If}\:\mathrm{the} \\ $$$$\mathrm{rear}\:\mathrm{of}\:\mathrm{the}\:\mathrm{train}\:\mathrm{passes}\:\mathrm{the}\:\mathrm{signal}\:\mathrm{5s}\:\mathrm{later},\:\mathrm{Find} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{The}\:\mathrm{magnitude}\:\mathrm{of}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{of}\:\mathrm{the}\:\mathrm{train}. \\ $$$$\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{speed}\:\mathrm{at}\:\mathrm{which}\:\mathrm{the}\:\mathrm{rear}\:\mathrm{of}\:\mathrm{the}\:\mathrm{train}\:\mathrm{passes}\:\mathrm{the}\:\mathrm{signal}. \\ $$ Terms of Service Privacy Policy Contact:…