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Question-139108

Question Number 139108 by BHOOPENDRA last updated on 22/Apr/21 Answered by physicstutes last updated on 22/Apr/21 $$\lambda\:=\:\mathrm{0}.\mathrm{1317}\:\mathrm{year}^{−\mathrm{1}} ,\:{t}\:=\:\mathrm{21}.\mathrm{04}\:\mathrm{years},\:{N}_{\mathrm{0}} \:=\:\mathrm{1}\:\mathrm{g} \\ $$$$\mathrm{Using}\:\mathrm{the}\:\mathrm{decay}\:\mathrm{equation}: \\ $$$$\:{N}\:=\:{N}_{\mathrm{0}} {e}^{−\lambda{t}} \\…

Question-139105

Question Number 139105 by mnjuly1970 last updated on 22/Apr/21 Answered by bramlexs22 last updated on 22/Apr/21 $$\frac{\mathrm{b}}{\mathrm{sin}\:\theta}=\frac{\mathrm{a}}{\mathrm{sin}\:\mathrm{2}\theta}\:\Rightarrow\:\mathrm{b}=\frac{\mathrm{a}}{\mathrm{2cos}\:\theta}\:;\:\mathrm{cos}\:\theta=\frac{\mathrm{a}}{\mathrm{2b}} \\ $$$$\measuredangle\mathrm{C}\:=\gamma=\:\mathrm{180}°−\mathrm{3}\theta \\ $$$$\mathrm{c}^{\mathrm{2}} \:=\:\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} −\mathrm{2ab}\:\mathrm{cos}\:\gamma \\…

Determine-the-value-of-a-and-b-fir-which-the-function-f-defined-by-f-x-2sinx-x-lt-pi-2-asinx-b-pi-2-x-lt-pi-2-cosx-x-gt-pi-2-is-continouos-

Question Number 73567 by Rio Michael last updated on 13/Nov/19 $${Determine}\:{the}\:{value}\:{of}\:{a}\:{and}\:{b}\:{fir}\:{which}\:{the}\:{function}\:{f},{defined}\:{by} \\ $$$${f}\left({x}\right)\:=\:\begin{cases}{−\mathrm{2}{sinx},\:\:{x}\:<\:−\frac{\pi}{\mathrm{2}}}\\{{asinx}\:+\:{b},−\frac{\pi}{\mathrm{2}}\:\leqslant\:{x}\:<\:\frac{\pi}{\mathrm{2}}}\\{{cosx},\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}\:>\:\frac{\pi}{\mathrm{2}}}\end{cases} \\ $$$${is}\:{continouos} \\ $$ Commented by Rio Michael last updated on 13/Nov/19…

given-the-3-rd-degree-polynomial-P-x-2x-1-x-3-Q-x-12x-8-given-that-x-1-is-a-factor-of-P-x-and-P-0-10-find-Q-x-

Question Number 73530 by Rio Michael last updated on 13/Nov/19 $${given}\:{the}\:\mathrm{3}^{{rd}} \:{degree}\:\:{polynomial} \\ $$$${P}\left({x}\right)\:=\:\left(\mathrm{2}{x}\:−\mathrm{1}\right)\left({x}−\mathrm{3}\right){Q}\left({x}\right)\:+\:\mathrm{12}{x}−\mathrm{8} \\ $$$${given}\:{that}\:\left({x}−\mathrm{1}\right)\:{is}\:{a}\:{factor}\:{of}\:{P}\left({x}\right)\:{and}\:\:{P}\left(\mathrm{0}\right)\:=\:\mathrm{10} \\ $$$${find}\:{Q}\left({x}\right) \\ $$ Answered by MJS last updated…