Question Number 7902 by tawakalitu last updated on 24/Sep/16 $${The}\:{diameter}\:{of}\:{the}\:{wheel}\:{of}\:{a}\:{car}\:{is}\:\mathrm{36}\:{cm}.\: \\ $$$${how}\:{many}\:{revolutions}\:{correct}\:{to}\:\mathrm{3}\:{significant} \\ $$$${figure}\:,\:{will}\:{it}\:{make}\:{to}\:{cover}\:{a}\:{distance}\:{of}\:\mathrm{1}.\mathrm{05}{km} \\ $$$${take}\:\pi\:=\:\frac{\mathrm{22}}{\mathrm{7}} \\ $$ Answered by sandy_suhendra last updated on 24/Sep/16…
Question Number 7901 by tawakalitu last updated on 24/Sep/16 $${A}\:{dealer}\:{sold}\:{a}\:{car}\:{to}\:{a}\:{man}\:{and}\:{made}\:{a}\:{profit}\:{of}\:\mathrm{15\%} \\ $$$${the}\:{man}\:{then}\:{sold}\:{it}\:{to}\:{a}\:{woman}\:{for}\:#\mathrm{120},\mathrm{175}.\mathrm{00} \\ $$$${at}\:{a}\:{loss}\:{of}\:\mathrm{5\%}.\:{How}\:{much}\:{did}\:{the}\:{dealer}\:{buy}\:{the}\:{car}. \\ $$ Answered by sandy_suhendra last updated on 24/Sep/16 $${the}\:{man}\:{buys}\:{the}\:{car}\:=\:\frac{\mathrm{100}}{\mathrm{95}}×\mathrm{120},\mathrm{175}=\:\mathrm{126},\mathrm{500}\:={the}\:{dealer}\:{sold} \\…
Question Number 7900 by tawakalitu last updated on 23/Sep/16 $${Find}\:{an}\:{equation}\:{of}\:{the}\:{tangent}\:{line}\:{to}\:{the}\:{curve}\: \\ $$$${y}\:=\:{tan}^{\mathrm{2}} {x}\:\:\:{at}\:\:{the}\:{point}\:\:\left(\frac{\pi}{\mathrm{3}},\:\mathrm{3}\right) \\ $$ Commented by sou1618 last updated on 24/Sep/16 $${l}:{tangent}\:{line} \\ $$$$\mathrm{3}={tan}^{\mathrm{2}}…
Question Number 7898 by tawakalitu last updated on 23/Sep/16 $$\int{cos}^{\mathrm{6}} {x}\:\:{dx} \\ $$ Commented by sandy_suhendra last updated on 24/Sep/16 $${cos}^{\mathrm{6}} {x}\:=\:\left({cos}^{\mathrm{2}} {x}\right)^{\mathrm{3}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\left(\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}}{cos}\mathrm{2}{x}\right)^{\mathrm{3}}…
Question Number 138971 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{4}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138970 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{\mathrm{xsin}\left(\mathrm{2x}\right)}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated…
Question Number 138967 by mnjuly1970 last updated on 20/Apr/21 $$\:\Theta=\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}\left({x}\right).{log}^{\mathrm{2}} \left({x}\right)}{{x}}{dx}=\frac{\pi}{\mathrm{24}}\left(\mathrm{12}\:\gamma^{\:\mathrm{2}} +\pi^{\mathrm{2}} \right)….\checkmark \\ $$ Answered by Dwaipayan Shikari last updated on 20/Apr/21…
Question Number 73428 by Learner-123 last updated on 12/Nov/19 $${Evaluate}\:: \\ $$$$\left.\mathrm{1}\right)\:\int_{−\mathrm{2}} ^{\:\mathrm{2}} \int_{−\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }} ^{\:\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }} \:\left(\mathrm{3}−{x}\right){dydx}\:. \\ $$$$\left({after}\:{changing}\:{the}\:{integral}\:{to}\:{polar}\:{form}\right). \\ $$$$ \\ $$$$\left.\mathrm{2}\right)\:\int_{\mathrm{0}} ^{\mathrm{4}}…
Question Number 73429 by Henri Boucatchou last updated on 12/Nov/19 $$\:\:\:{Solve}\::\:\int\frac{\left[{cos}^{−\mathrm{1}} {x}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right]^{−\mathrm{1}} }{{log}_{{e}} \left[\mathrm{2}+\frac{{sin}\left(\mathrm{2}{x}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right)}{\pi}\right]}{dx} \\ $$$$\:\:{Evaluate}\:\:\int_{−\pi/\mathrm{2}} ^{\:\pi/\mathrm{2}} {sin}^{\mathrm{2}} {xcos}^{\mathrm{2}} {x}\left({cosx}+{sinx}\right){dx} \\ $$ Commented…
Question Number 138960 by Dwaipayan Shikari last updated on 20/Apr/21 $${X}\:{and}\:{Y}\:{stand}\:{in}\:{a}\:{line},\:{at}\:{random}\:{with}\:\mathrm{10}\:{other}\:{peoples}. \\ $$$${What}\:{is}\:{the}\:{probability}\:{that}\:{there}\:{will}\:{be}\:{exactly}\:\mathrm{4}\:{persons}\: \\ $$$${between}\:{X}\:{and}\:{Y}? \\ $$ Commented by mr W last updated on 20/Apr/21…