Question Number 126661 by mnjuly1970 last updated on 23/Dec/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:\:{calculus}… \\ $$$$\:\:\:{evaluate}\::: \\ $$$$\:\:\:\:\:\:\Phi=\int_{\mathrm{0}} ^{\:\mathrm{1}} \left(\frac{\mathrm{1}+{x}^{\mathrm{4}} {ln}\left({x}\right)}{\mathrm{1}+{x}^{\mathrm{6}} }\right){dx}=? \\ $$$$ \\ $$ Commented by Dwaipayan…
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Question Number 126657 by adeyemiprof40 last updated on 23/Dec/20 Answered by Olaf last updated on 23/Dec/20 $${a}^{\mathrm{4}} +{a}^{\mathrm{3}} +{a}^{\mathrm{2}} +{a}+\mathrm{1}\:=\:\mathrm{0} \\ $$$$\Leftrightarrow\:\frac{{a}^{\mathrm{5}} −\mathrm{1}}{{a}−\mathrm{1}}\:=\:\mathrm{0},\:{a}\neq\mathrm{1} \\ $$$$\Leftrightarrow\:{a}^{\mathrm{5}}…
Question Number 126655 by zakirullah last updated on 23/Dec/20 Answered by physicstutes last updated on 23/Dec/20 $$\:\mathrm{So}\:\mathrm{he}\:\mathrm{is}\:\mathrm{selling}\:\mathrm{at}\:\mathrm{Rs}\:\mathrm{2000}\left(\:\mathrm{SP}\right)\:\mathrm{and}\:\mathrm{he}\:\mathrm{gives}\:\mathrm{his}\:\mathrm{customers}\:\mathrm{20\%}\:\mathrm{discount}. \\ $$$$\mathrm{let}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{price}\:\mathrm{of}\:\mathrm{his}\:\mathrm{good}\:\left(\mathrm{CP}\right)\:=\:{x} \\ $$$$\:\%\mathrm{profit}\:=\:\frac{\mathrm{actual}\:\mathrm{profit}}{\mathrm{CP}}×\mathrm{100\%} \\ $$$$\mathrm{actual}\:\mathrm{profit}\:=\:\mathrm{SP}\:−\:\mathrm{CP}\:=\:\mathrm{2000}\:−{x} \\ $$$$\Rightarrow\:\mathrm{25}\:=\:\frac{\mathrm{2000}−{x}}{{x}}\:×\:\mathrm{100}\:…….\left(\mathrm{i}\right)\:\:\:\:…
Question Number 61117 by Tawa1 last updated on 29/May/19 $$\mathrm{The}\:\mathrm{2nd},\:\mathrm{4th}\:\mathrm{and}\:\mathrm{8th}\:\mathrm{term}\:\mathrm{of}\:\mathrm{an}\:\mathrm{AP}\:\mathrm{are}\:\mathrm{the}\:\mathrm{consecutive}\:\mathrm{term}\:\mathrm{of}\:\mathrm{a}\:\mathrm{GP}. \\ $$$$\mathrm{If}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{3rd}\:\mathrm{and}\:\mathrm{4th}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{AP}\:\mathrm{is}\:\mathrm{20}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{first}\:\mathrm{four}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{the}\:\mathrm{AP}. \\ $$ Answered by Kunal12588 last updated on 29/May/19 $${given}\:\:{a}_{\mathrm{2}} ,{a}_{\mathrm{4}}…
Question Number 61116 by Kunal12588 last updated on 29/May/19 Answered by ajfour last updated on 29/May/19 $${If}\:{g}=\mathrm{10}{m}/{s}^{\mathrm{2}} \\ $$$${then}\:{in}\:{the}\:{last}\:{second}\:{distance} \\ $$$${traveled}\:{is}\:\:\frac{\mathrm{1}}{\mathrm{2}}{gt}^{\mathrm{2}} =\:\mathrm{5}{m} \\ $$$${irrespective}\:{of}\:{the}\:{value}\:{of}\:{u}. \\…
Question Number 192187 by alcohol last updated on 10/May/23 $$\begin{cases}{{z}_{\mathrm{1}} \:+\:{z}_{\mathrm{2}} \:=\:{a}}\\{{z}_{\mathrm{2}} \:+\:{z}_{\mathrm{3}} \:=\:{b}}\\{{z}_{\mathrm{3}} \:+\:{z}_{\mathrm{4}} \:=\:{c}}\\{{z}_{\mathrm{1}} \:+\:{z}_{\mathrm{4}} \:=\:{d}}\end{cases} \\ $$$${solve}\:{using}\:{gaussian}\:{elimination} \\ $$ Terms of Service…
Question Number 192186 by Tawa11 last updated on 11/May/23 $$\mathrm{If}\:\:\alpha,\:\beta\:\:\mathrm{and}\:\gamma\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\:\:\mathrm{x}^{\mathrm{3}} \:\:+\:\:\mathrm{px}\:\:+\:\:\mathrm{q}\:\:=\:\:\mathrm{0},\:\:\:\:\mathrm{find}\:\:\:\Sigma\alpha^{\mathrm{4}} . \\ $$ Answered by BaliramKumar last updated on 10/May/23 $$\mathrm{2p}^{\mathrm{2}} \\ $$ Commented…
Question Number 61112 by Kunal12588 last updated on 29/May/19 Commented by Kunal12588 last updated on 29/May/19 $${draw}\:{the}\:{graph}\:{pls} \\ $$ Commented by Kunal12588 last updated on…
Question Number 192181 by momdli last updated on 10/May/23 Answered by AST last updated on 10/May/23 $$\mathrm{2}{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)=\frac{{x}}{\mathrm{2}}\Rightarrow{f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)=\frac{\mathrm{1}}{\mathrm{12}} \\ $$$$\Rightarrow{f}\left({x}\right)=\frac{\mathrm{6}{x}−\mathrm{1}}{\mathrm{24}}\Rightarrow{f}\left(\mathrm{3}\right)=\frac{\mathrm{17}}{\mathrm{24}} \\ $$ Terms of Service Privacy…