Menu Close

Category: Vector

6C3-4C1-15C4-

Question Number 217079 by idos last updated on 28/Feb/25 $$\frac{\mathrm{6}{C}\mathrm{3}×\mathrm{4}{C}\mathrm{1}}{\mathrm{15}{C}\mathrm{4}} \\ $$$$ \\ $$ Answered by MrGaster last updated on 01/Mar/25 $$=\frac{\mathrm{6}×\mathrm{4}}{\mathrm{1365}} \\ $$$$=\frac{\mathrm{24}}{\mathrm{1365}} \\…

Question-215418

Question Number 215418 by BaliramKumar last updated on 06/Jan/25 Answered by TonyCWX08 last updated on 06/Jan/25 $${Let} \\ $$$${Sum}\:{of}\:{correct}\:{numbers}={x} \\ $$$${Sum}\:{of}\:{square}\:{of}\:{correct}\:{numbers}={y} \\ $$$$ \\ $$$$\frac{{x}+\mathrm{10}}{\mathrm{25}}=\mathrm{42}…

Question-214793

Question Number 214793 by vijaysahu last updated on 19/Dec/24 Commented by Tinku Tara last updated on 20/Dec/24 $${Q}\mathrm{2}\:{put}\:{u}=\frac{\pi}{\mathrm{2}}−{x}\:{to}\:{get} \\ $$$${I}=\int_{\mathrm{0}} ^{\pi/\mathrm{4}} \frac{{cos}^{\mathrm{4}} {x}}{{sin}^{\mathrm{4}} {x}+{cos}^{\mathrm{4}} {x}}{dx}…

n-0-1-3n-2-1-3n-1-a-a-2-

Question Number 211558 by mnjuly1970 last updated on 12/Sep/24 $$ \\ $$$$ \\ $$$$\:\:\:\:\:−−−−−−−−−−−− \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\Omega}=\:\underset{\boldsymbol{{n}}=\mathrm{0}} {\overset{\infty} {\sum}}\:\left(\frac{\mathrm{1}}{\mathrm{3}\boldsymbol{{n}}+\mathrm{2}}\:−\frac{\mathrm{1}}{\mathrm{3}\boldsymbol{{n}}+\mathrm{1}}\:\right)=\:\boldsymbol{{a}\pi} \\ $$$$\:\:\:\:\:\:\:\Rightarrow\:\:\boldsymbol{{a}}^{\mathrm{2}} =\:? \\ $$$$\:\:\:\:\:\:\:−−−−−−−−−−−− \\ $$…

If-D-x-2-y-2-z-2-1-D-x-2-2y-2-x-2-4y-2-z-2-dxdydz-

Question Number 210787 by mnjuly1970 last updated on 19/Aug/24 $$ \\ $$$$\:\begin{cases}{\:\:\mathrm{I}{f},\:\mathrm{D}\::\:{x}^{\mathrm{2}} \:+{y}^{\:\mathrm{2}} \:+\:{z}^{\:\mathrm{2}} \leqslant\mathrm{1}}\\{\:\Rightarrow\int\underset{\overset{} {\mathrm{D}}} {\int}\int\frac{\:{x}^{\mathrm{2}} \:+\:\mathrm{2}{y}^{\:\mathrm{2}} }{{x}^{\mathrm{2}} \:+\:\mathrm{4}{y}^{\mathrm{2}} \:+{z}^{\mathrm{2}} }\:{dxdydz}=?}\end{cases} \\ $$$$ \\…