Question Number 18556 by aplus last updated on 24/Jul/17 Answered by Tinkutara last updated on 25/Jul/17 $$\mathrm{V}\:=\:\pi{r}^{\mathrm{2}} {h} \\ $$$$\mathrm{Total}\:\mathrm{surface}\:\mathrm{area},\:{A}\:=\:\mathrm{2}\pi{r}^{\mathrm{2}} \:+\:\mathrm{2}\pi{rh} \\ $$$$=\:\mathrm{2}\pi{r}^{\mathrm{2}} \:+\:\mathrm{2}\frac{\pi{r}^{\mathrm{2}} {h}}{{r}}\:=\:\mathrm{2}\pi{r}^{\mathrm{2}}…
Question Number 18551 by mondodotto@gmail.com last updated on 24/Jul/17 Answered by Tinkutara last updated on 24/Jul/17 $$\sqrt{{a}\sqrt{{a}\sqrt{{a}}}}\:=\:\sqrt{{a}\sqrt{{a}^{\frac{\mathrm{3}}{\mathrm{2}}} }}\:=\:=\sqrt{{a}^{\frac{\mathrm{7}}{\mathrm{4}}} }\:=\:{a}^{\frac{\mathrm{7}}{\mathrm{8}}} \\ $$$$\mathrm{Remember}:\:\sqrt{{a}\sqrt{{a}\sqrt{{a}\sqrt{{a}\sqrt{{a}…}}}}}\:=\:{a}^{\frac{\mathrm{2}^{{n}} \:−\:\mathrm{1}}{\mathrm{2}^{{n}} }} \\ $$$$\forall\:{n}\:\geqslant\:\mathrm{1},\:\mathrm{where}\:\mathrm{there}\:\mathrm{are}\:{n}\:\mathrm{square}\:\mathrm{roots}.…
Question Number 149623 by DELETED last updated on 06/Aug/21 Answered by DELETED last updated on 06/Aug/21 $$\mathrm{R}_{\mathrm{s}} =\mathrm{R}_{\mathrm{1}} +\mathrm{R}_{\mathrm{2}} =\mathrm{2}+\mathrm{2}=\mathrm{4}\:\Omega \\ $$$$\mathrm{I}_{\mathrm{s}} =\frac{\mathrm{V}}{\mathrm{R}_{\mathrm{s}} }\:=\:\frac{\mathrm{6}}{\mathrm{4}}\:=\:\mathrm{1}.\mathrm{5}\:\mathrm{volt} \\…
Question Number 18550 by mondodotto@gmail.com last updated on 24/Jul/17 Commented by mondodotto@gmail.com last updated on 24/Jul/17 Answered by Tinkutara last updated on 24/Jul/17 $$\mid\frac{{p}\:+\:\mathrm{2}{i}}{\mathrm{1}\:−\:\mathrm{2}{i}}\mid\:=\:\mathrm{13} \\…
Question Number 18543 by virus last updated on 24/Jul/17 Answered by mrW1 last updated on 24/Jul/17 $$\mathrm{in}\:\left(\mathrm{2}\right)\:\mathrm{the}\:\mathrm{force}\:\mathrm{in}\:\mathrm{spring}\:\mathrm{is}\:\mathrm{50}\:\mathrm{N} \\ $$$$\mathrm{in}\:\left(\mathrm{1}\right)\:\mathrm{the}\:\mathrm{force}\:\mathrm{in}\:\mathrm{spring}\:\mathrm{is}\:\mathrm{x} \\ $$$$\frac{\mathrm{100}−\mathrm{x}}{\mathrm{10}}=\frac{\mathrm{x}−\mathrm{50}}{\mathrm{5}}=\mathrm{a} \\ $$$$\mathrm{100}−\mathrm{x}=\mathrm{2x}−\mathrm{100} \\ $$$$\Rightarrow\mathrm{x}=\frac{\mathrm{200}}{\mathrm{3}}\:\approx\mathrm{67}\:\mathrm{N}\:>\:\mathrm{50}\:\mathrm{N}>\mathrm{0}…
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Question Number 149600 by muvvakarthik last updated on 06/Aug/21 Answered by Tawa11 last updated on 06/Aug/21 $$\mathrm{f}\:\:=\:\:\mathrm{180}\:\:−\:\:\mathrm{125}\:\:\:\:=\:\:\:\mathrm{55} \\ $$$$\therefore\:\:\:\:\mathrm{f}\:\:\:=\:\:\mathrm{a}\:\:\:=\:\:\:\mathrm{55}° \\ $$ Terms of Service Privacy…
Question Number 149598 by naka3546 last updated on 06/Aug/21 $${Suppose}\:\:{that}\:\: \\ $$$$\mathrm{sec}\:{x}\:+\:\mathrm{tan}\:{x}\:=\:\frac{\mathrm{22}}{\mathrm{7}} \\ $$$$\mathrm{cosec}\:{x}\:+\:\mathrm{cot}\:{x}\:=\:\frac{{m}}{{n}} \\ $$$$\frac{{m}}{{n}}\:\:{is}\:\:{in}\:\:{the}\:\:{lowest}\:\:{term}\:. \\ $$$${Find}\:\:{m}\:+\:{n}\:. \\ $$ Answered by iloveisrael last updated…
Question Number 84055 by naka3546 last updated on 09/Mar/20 $$\underset{\:\mathrm{0}} {\int}\overset{\:\mathrm{2}} {\:}\:\:\frac{{x}^{\mathrm{2}} +\mathrm{3}{x}}{\:\sqrt{{x}+\mathrm{2}}}\:\:{dx}\:\:=\:\:? \\ $$ Commented by mathmax by abdo last updated on 09/Mar/20 $${A}\:=\int_{\mathrm{0}}…
Question Number 18492 by virus last updated on 22/Jul/17 Commented by mrW1 last updated on 23/Jul/17 $$\mathrm{the}\:\mathrm{force}\:\mathrm{in}\:\mathrm{k}\:\mathrm{above}\:\mathrm{block}\:\mathrm{A}\:\mathrm{is}\:\mathrm{3mg}. \\ $$$$\mathrm{when}\:\mathrm{the}\:\mathrm{spring}\:\mathrm{above}\:\mathrm{A}\:\mathrm{is}\:\mathrm{cut},\:\mathrm{this} \\ $$$$\mathrm{force}\:\mathrm{is}\:\mathrm{released},\:\mathrm{a}\:\mathrm{force}\:\mathrm{of}\:\mathrm{3mg}\:\mathrm{is} \\ $$$$\mathrm{acting}\:\mathrm{on}\:\mathrm{block}\:\mathrm{A},\:\mathrm{therefore}\:\mathrm{a}_{\mathrm{A}} =\mathrm{3g}. \\…