Question Number 170416 by Mastermind last updated on 23/May/22 $$\int\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }{dx} \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered by thfchristopher last updated on 23/May/22 $$\mathrm{Let}\:{x}=\mathrm{2sin}\:{t}…
Question Number 170413 by Mastermind last updated on 23/May/22 $${Use}\:{Trapezoidal}\:{rule}\:{with}\:{ordinate} \\ $$$$\mathrm{1},\:\mathrm{1}.\mathrm{5},\:\mathrm{2},\:\mathrm{2}.\mathrm{5},\:\mathrm{3}\:{to}\:{compute} \\ $$$$\int_{\mathrm{1}} ^{\mathrm{3}} \frac{\sqrt{{x}+\mathrm{1}}}{{x}}{dx}. \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered by MikeH…
Question Number 170415 by Mastermind last updated on 23/May/22 $$\mathrm{Given}\:\mathrm{x}^{\mathrm{y}} =\mathrm{e}^{\mathrm{x}−\mathrm{y}} .\:\mathrm{find}\:\frac{\mathrm{dy}}{\mathrm{dx}}? \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$ Answered by aleks041103 last updated on 23/May/22…
Question Number 170412 by Mastermind last updated on 23/May/22 $${If}\:{part}\:{of}\:{the}\:{curve}\:{y}={x}+\mathrm{1}\:{from}\:{x}=\mathrm{1} \\ $$$${and}\:{x}=\mathrm{2}\:{is}\:{rotated}\:{completely}\:{about} \\ $$$${the}\:{y}−{axis}.\:{find}\:{the}\:{volume}\:{of}\:{the} \\ $$$${solid}\:{form}. \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered by aleks041103…
Question Number 170411 by Mastermind last updated on 23/May/22 $${The}\:{position}\:{of}\:{a}\:{body}\:{at}\:{time}\:{t}\:\left({in}\right. \\ $$$$\left.{seconds}\right)\:{is}\:{given}\:{by}\:{s}={t}^{\mathrm{3}} −\mathrm{4},\:{what}\:{is} \\ $$$${the}\:{velocity}\:{and}\:{acceleration}\:{of}\:{the} \\ $$$${object}\:{at}\:{time}\:{t}=\mathrm{5}\:? \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered by…
Question Number 39337 by LX Z last updated on 05/Jul/18 $${tan}^{−\mathrm{1}} \:\mathrm{2}\:+\:{tan}^{−\mathrm{1}} \:\mathrm{3}={cosec}^{−\mathrm{1}} {x}\:\:,{then} \\ $$$${x}\:\:{is}\:\:{equal}\:\:{to} \\ $$$$\:\left({a}\right)\:\:\:\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({b}\right)\:\:\sqrt{\mathrm{2}}\:\: \\ $$$$\left({d}\right)\:−\sqrt{\mathrm{2}}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({d}\right)\:{none}\:{of}\:{these} \\ $$ Terms of Service…
Question Number 170386 by Mastermind last updated on 22/May/22 $${Find}\:{the}\:{volume}\:{of}\:{tetrahedron}\:{whose} \\ $$$${vertices}\:{are}\:{the}\:{points}\:{A}\left(\mathrm{2},\:−\mathrm{1},\:−\mathrm{3}\right), \\ $$$${B}\left(\mathrm{4},\:\mathrm{1},\:\mathrm{3}\right),\:{C}\left(\mathrm{3},\:\mathrm{2},\:−\mathrm{1}\right)\:{and}\:{D}\left(\mathrm{1},\:\mathrm{4},\:\mathrm{2}\right). \\ $$$$ \\ $$$${Mastermind} \\ $$ Commented by mr W last…
Question Number 170378 by Mastermind last updated on 22/May/22 $${The}\:{line}\:\mathrm{2}{y}={x}+\mathrm{3}\:{meets}\:{the}\:{circle}\: \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{x}−\mathrm{6}{y}−\mathrm{15}\:{at}\:{point}\:{M}\:{and}\:{N} \\ $$$${where}\:{N}\:{is}\:{in}\:{the}\:{second}\:{quadrant}. \\ $$$${find}\:{the}\:{coordinate}\:{of}\:{M}\:{and}\:{N}. \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered…
Question Number 39289 by Rio Mike last updated on 04/Jul/18 $${Find}\:{the}\:{value}\:{of}\:{x}\:{if}\: \\ $$$${the}\:{matrix}\: \\ $$$$ \\ $$$$\begin{pmatrix}{\mathrm{3}{x}\:\:\:\:\:\:\:\:\mathrm{5}{x}}\\{{x}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}}\end{pmatrix}\begin{pmatrix}{{x}\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{3}\:\:\:\:\:\:\:\:\:{x}}\end{pmatrix}\: \\ $$$${has}\:{no}\:{inverse} \\ $$ Answered by Rio Mike…
Question Number 170336 by Mastermind last updated on 21/May/22 $${if}\:{cos}^{\mathrm{2}} \propto\:+\:\mathrm{3}{cosec}^{\mathrm{2}} \theta\:=\:\mathrm{7},\:{find}\:{the}\: \\ $$$${expression}\:{of}\:{tan}^{\mathrm{2}} \theta,\:{Hence}\:{show}\:{that} \\ $$$${tan}\theta=\mathrm{1}. \\ $$$$ \\ $$$${Mastermind} \\ $$ Commented by…