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Prove-that-0-xcos-x-sin-x-2-x-6-dx-15-

Question Number 161945 by Ahmed777hamouda last updated on 24/Dec/21 $$\:\:\boldsymbol{{P}\mathrm{rove}}\:\boldsymbol{\mathrm{that}}\:\int_{\mathrm{0}} ^{\infty} \frac{\left(\boldsymbol{{xcos}}\left(\boldsymbol{{x}}\right)−\boldsymbol{{sin}}\left(\boldsymbol{{x}}\right)\right)^{\mathrm{2}} }{\boldsymbol{{x}}^{\mathrm{6}} }\boldsymbol{{dx}}\:=\frac{\boldsymbol{\pi}}{\mathrm{15}} \\ $$ Answered by Ar Brandon last updated on 24/Dec/21 $${I}=\int_{\mathrm{0}}…

Hello-If-5000F-is-the-price-to-carry-5-tonnes-of-water-on-5-kilometers-what-is-the-price-to-carry-60-tonnes-on-70-5-kilometers-please-explain-if-possible-

Question Number 96397 by mathocean1 last updated on 01/Jun/20 $${Hello} \\ $$$${If}\:\:\mathrm{5000}{F}\:{is}\:{the}\:{price}\:{to}\:{carry}\:\mathrm{5}\:{tonnes} \\ $$$${of}\:{water}\:{on}\:\mathrm{5}\:{kilometers},\:{what}\:{is}\:{the} \\ $$$${price}\:{to}\:{carry}\:\mathrm{60}\:{tonnes}\:{on}\:\mathrm{70}.\mathrm{5}\: \\ $$$${kilometers}? \\ $$$${please}\:{explain}\:{if}\:{possible}… \\ $$ Answered by 1549442205…

Question-30813

Question Number 30813 by mondodotto@gmail.com last updated on 26/Feb/18 Answered by ajfour last updated on 26/Feb/18 $${y}^{\mathrm{2}} ={zx}\:\:\:,\:\:\:\mathrm{5}{y}=\mathrm{2}\left({x}+{z}\right)\:=\mathrm{2}\left(\mathrm{70}−{y}\right) \\ $$$$\Rightarrow\:\:\:{y}=\mathrm{20} \\ $$$${x}\:{and}\:{z}\:{are}\:{roots}\:{of} \\ $$$$\:\:\:\:\:{p}^{\mathrm{2}} −\mathrm{50}{p}−\mathrm{400}=\mathrm{0}…

Question-96330

Question Number 96330 by joki last updated on 31/May/20 Commented by prakash jain last updated on 31/May/20 $${area}\:{of}\:{sector}\:{AOB}=\frac{\mathrm{1}}{\mathrm{2}}\alpha{r}\mathrm{2} \\ $$$${area}\:{of}\:\bigtriangleup{AOB} \\ $$$$\:\:\:\:\:{Let}\:{X}\:\mathrm{be}\:\mathrm{mid}\:\mathrm{point}\:\mathrm{lf}\:{AB} \\ $$$$\:\:\:\:\:{AX}={BX}={r}\mathrm{sin}\frac{\alpha}{\mathrm{2}}\: \\…