Question Number 26528 by bbbbbb last updated on 26/Dec/17 $${f}\:{length}\:\:{of}\:{a}\:{rectangle}\:{is}\:{reduced}\:{by}\:\mathrm{5}\: \\ $$$${umits}\:{and}\:{its}\:{breadth}\:{is}\:{increasesd} \\ $$$$\mathrm{3}\:{units}\:{then}\:{area}\:{of}\:{rectangle}\:{is}\:{reduced} \\ $$$${by}\:\mathrm{8}\:{sq}\:{units}\:{if}\:{lenghth}\:{is}\:{reduced} \\ $$$$\mathrm{3}\:{units}\:{and}\:{breadth}\:{is}\:{increased}\:{by}\: \\ $$$$\mathrm{2}\:{units}\:{then}\:{area}\:{of}\:{rectangle} \\ $$$${will}\:{increased}\:{by}\:\mathrm{67}\:{sq}\:{units}\:.\: \\ $$$${then}\:{find}\:{length}\:{and}\:{breadth}\:{of}\:{rectangle} \\…
Question Number 92055 by 675480065 last updated on 04/May/20 $$\int\left(\frac{\mathrm{x}+\mathrm{1}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4x}+\mathrm{5}\right)^{\mathrm{2}} }\right)\mathrm{dx} \\ $$ Commented by Prithwish Sen 1 last updated on 04/May/20 $$\int\frac{\mathrm{x}+\mathrm{1}}{\left(\left(\mathrm{x}+\mathrm{2}\right)^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}}…
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 $${i}\:{don}'{t}\:{know}.\:{but}\:{if}\:{i}\:{were}\:{you},\:{i}\:{would} \\ $$$${ask}\:{google}. \\ $$$${the}\:{correct}\:{German}\:{name}\:{is}\:…
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Question Number 26442 by onkararora45@gmail.com last updated on 25/Dec/17 $${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…