Menu Close

Category: Vector Calculus

Question-126572

Question Number 126572 by sdfg last updated on 22/Dec/20 Answered by liberty last updated on 22/Dec/20 $$\:\mid\overset{\rightarrow} {{a}}+\overset{\rightarrow} {{b}}\mid^{\mathrm{2}} =\:\mid\overset{\rightarrow} {{a}}\mid^{\mathrm{2}} +\mid\overset{\rightarrow} {{b}}\mid^{\mathrm{2}} +\mathrm{2}\mid\overset{\rightarrow} {{a}}\mid\mid\overset{\rightarrow}…

Question-192024

Question Number 192024 by Shlock last updated on 05/May/23 Answered by a.lgnaoui last updated on 05/May/23 $$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{shaded}}\:\boldsymbol{\mathrm{Area}}\:\boldsymbol{\mathrm{betwen}} \\ $$$$\left[\boldsymbol{\mathrm{y}}=\mathrm{0},\boldsymbol{\mathrm{y}}=\sqrt{\mathrm{25}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\:−\mathrm{3}\:\:;\boldsymbol{\mathrm{y}}=\sqrt{\mathrm{4}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:}\right] \\ $$$$\int_{\mathrm{0}} ^{\mathrm{4}} \left(\sqrt{\mathrm{25}−\boldsymbol{\mathrm{x}}^{\mathrm{2}}…

Question-192023

Question Number 192023 by Shlock last updated on 05/May/23 Answered by a.lgnaoui last updated on 06/May/23 $$\boldsymbol{\mathrm{graphe}}\left(\mathrm{1}\right) \\ $$$$\boldsymbol{\mathrm{y}}\:_{\mathrm{1}} \:\:\:\boldsymbol{\mathrm{represente}}\:\boldsymbol{\mathrm{raphe}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{quart}}\:\boldsymbol{\mathrm{circle}}\:\left(\boldsymbol{\mathrm{radius}}\:\mathrm{2}\right)\:\boldsymbol{\mathrm{centre}}\left(\mathrm{0},\mathrm{0}\right) \\ $$$$\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{y}}^{\mathrm{2}} =\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}<\boldsymbol{\mathrm{x}}<\mathrm{2}\:\:\:\boldsymbol{\mathrm{y}}_{\mathrm{1}} =\sqrt{\mathrm{4}−\boldsymbol{\mathrm{x}}^{\mathrm{2}}…