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Author: Tinku Tara

ABC-is-a-triangle-such-that-AB-AC-D-is-a-point-on-side-AC-such-that-BC-2-AC-CD-Prove-that-BD-BC-

Question Number 214859 by MATHEMATICSAM last updated on 21/Dec/24 $$\mathrm{ABC}\:\mathrm{is}\:\mathrm{a}\:\mathrm{triangle}\:\mathrm{such}\:\mathrm{that}\:\mathrm{AB}\:=\:\mathrm{AC}.\: \\ $$$$\mathrm{D}\:\mathrm{is}\:\mathrm{a}\:\mathrm{point}\:\mathrm{on}\:\mathrm{side}\:\mathrm{AC}\:\mathrm{such} \\ $$$$\mathrm{that}\:\mathrm{BC}^{\mathrm{2}} \:=\:\mathrm{AC}.\mathrm{CD}.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\mathrm{BD}\:=\:\mathrm{BC}. \\ $$ Answered by A5T last updated on…

1-cos-x-1-sin-2-x-dx-

Question Number 214853 by liuxinnan last updated on 21/Dec/24 $$\int\frac{\mathrm{1}+\mathrm{cos}\:{x}}{\mathrm{1}+\mathrm{sin}\:^{\mathrm{2}} {x}}{dx}=? \\ $$ Commented by liuxinnan last updated on 21/Dec/24 $${I}\:{had}\:{long}\:{time}\:{not}\:{look}\:{through} \\ $$$${this}\:{app}\:,{I}\:{just}\:{find} \\ $$…

Question-214815

Question Number 214815 by mr W last updated on 20/Dec/24 Commented by mr W last updated on 20/Dec/24 $${a}\:{solid}\:{ball}\:{with}\:{mass}\:\boldsymbol{{m}}\:{and}\:{radius}\:\boldsymbol{{r}} \\ $$$${is}\:{released}\:{from}\:{the}\:{top}\:{of}\:{a} \\ $$$${quarter}−{cylindrical}\:{wedge}\:{with} \\ $$$${mass}\:\boldsymbol{{M}}\:{and}\:{radius}\:\boldsymbol{{R}}\:{as}\:{shown}.…

let-f-x-y-x-2-2xy-y-2-y-3-x-5-show-that-f-x-y-has-neither-a-maximum-nor-a-minimum-at-0-0-

Question Number 214805 by universe last updated on 20/Dec/24 $$\:\:\mathrm{let}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)\:=\:\mathrm{x}^{\mathrm{2}} −\mathrm{2xy}+\mathrm{y}^{\mathrm{2}} −\mathrm{y}^{\mathrm{3}} +\mathrm{x}^{\mathrm{5}} \:+\mathrm{show}\:\mathrm{that} \\ $$$$\:\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{has}\:\mathrm{neither}\:\mathrm{a}\:\mathrm{maximum}\:\mathrm{nor}\:\mathrm{a}\: \\ $$$$\:\:\mathrm{minimum}\:\mathrm{at}\:\left(\mathrm{0},\mathrm{0}\right) \\ $$ Answered by TonyCWX08 last updated…

What-is-the-usefulness-of-Get-Latex-in-this-application-

Question Number 214781 by ppch145 last updated on 19/Dec/24 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{usefulness}\:\mathrm{of}\:“\mathrm{Get}\:\mathrm{Latex}''\mathrm{in}\:\mathrm{this}\: \\ $$$$\mathrm{application}? \\ $$ Commented by Tinku Tara last updated on 19/Dec/24 $$\mathrm{If}\:\mathrm{you}\:\mathrm{are}\:\mathrm{using}\:\mathrm{mobile}\:\mathrm{version}\:\mathrm{of} \\ $$$$\mathrm{word}\:\mathrm{then}\:\mathrm{using}\:\mathrm{image}\:\mathrm{will}\:\mathrm{be}…

seek-the-solutions-to-the-equation-3-2-sin-2x-3-2-sin-x-3-sin-x-cos2x-2-cos-x-in-the-interval-between-0-and-pi-2-

Question Number 214779 by MrGaster last updated on 19/Dec/24 $$ \\ $$$$\mathrm{seek}\:\mathrm{the}\:\mathrm{solutions}\:\mathrm{to}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\frac{\sqrt{\mathrm{3}}+\mathrm{2}\:\mathrm{sin}\:\mathrm{2}{x}}{\:\sqrt{\mathrm{3}}+\mathrm{2}\:\mathrm{sin}\:{x}}=\sqrt{\mathrm{3}}\mathrm{sin}\:{x}+\frac{\mathrm{cos2}{x}}{\mathrm{2}\:\mathrm{cos}\:{x}} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{interval}\:\:\mathrm{between}\:\mathrm{0}\:\mathrm{and}\frac{\pi}{\mathrm{2}}. \\ $$$$ \\ $$ Terms of Service Privacy Policy…

sin-3-xdx-

Question Number 214770 by MathematicalUser2357 last updated on 19/Dec/24 $$\int\mathrm{sin}^{\mathrm{3}} {xdx}=? \\ $$ Answered by mr W last updated on 19/Dec/24 $$=−\int\mathrm{sin}^{\mathrm{2}} \:{x}\:{d}\:\left(\mathrm{cos}\:{x}\right) \\ $$$$=−\int\left(\mathrm{1}−\mathrm{cos}^{\mathrm{2}}…