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Question Number 74181 by MASANJAJ last updated on 19/Nov/19 Answered by Rio Michael last updated on 19/Nov/19 $$\mathrm{1}{cm}\:=\:\mathrm{500000}{cm} \\ $$$$\mathrm{1}{cm}\:=\:\mathrm{5}{km} \\ $$$$\:{x}\:=\:\mathrm{30}{km} \\ $$$$\mathrm{30}\:=\:\mathrm{5}{x} \\…
Question Number 8644 by prakash jain last updated on 19/Oct/16 $$\mathrm{Write}\:\mathrm{an}\:\mathrm{expression}\:\mathrm{involving} \\ $$$${e}\:\mathrm{and}\:\pi\:\mathrm{which}\:\mathrm{when}\:\mathrm{evaluated} \\ $$$$\mathrm{gives}\:\mathrm{result}\:\mathrm{1}. \\ $$ Commented by Yozzias last updated on 19/Oct/16 $$\mathrm{ee}^{−\mathrm{1}}…
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Question Number 139708 by qaz last updated on 30/Apr/21 $${Prove}:\:\:\:\mathrm{1}+\mathrm{2}\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}^{{n}} \mathrm{cos}\:\left({nx}\right)=\frac{\mathrm{1}−{a}^{\mathrm{2}} }{\mathrm{1}−\mathrm{2}{a}\mathrm{cos}\:{x}+{a}^{\mathrm{2}} },\:\:\:\:\:\:\left(\mid{a}\mid<\mathrm{1}\right) \\ $$$${And}\:{calculate}::\:\:\int_{\mathrm{0}} ^{\pi} \frac{{x}^{\mathrm{2}} }{\mathrm{1}+\mathrm{8sin}\:^{\mathrm{2}} {x}}{dx}=\frac{\mathrm{5}\pi^{\mathrm{3}} }{\mathrm{36}}−\frac{\pi}{\mathrm{6}}{ln}^{\mathrm{2}} \mathrm{2} \\ $$…
Question Number 139711 by bramlexs22 last updated on 30/Apr/21 $$\:\left[\mathrm{f}\left(\mathrm{x}\right)\right]^{\mathrm{2}} −\left[\mathrm{f}\left(−\mathrm{x}\right)\right]^{\mathrm{2}} =\mathrm{4x} \\ $$ Commented by mr W last updated on 30/Apr/21 $${f}\left({x}\right)=\frac{{x}}{{a}}+{a} \\ $$…
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Question Number 139710 by ajfour last updated on 30/Apr/21 $${If}\:\:\mathrm{3sin}\:{x}+\mathrm{5cos}\:{x}=\mathrm{5} \\ $$$${find}\:{value}\left({s}\right)\:{of}\:\:\mathrm{5sin}\:{x}−\mathrm{3cos}\:{x}. \\ $$ Answered by MJS_new last updated on 30/Apr/21 $$\mathrm{3sin}\:{x}\:+\mathrm{5cos}\:{x}\:=\mathrm{5} \\ $$$$\frac{\mathrm{3tan}\:{x}+\mathrm{5}}{\:\sqrt{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \:{x}}}=\mathrm{5}\:\Rightarrow\:\mathrm{tan}\:{x}\:=\mathrm{0}\vee\mathrm{tan}\:{x}\:=\frac{\mathrm{15}}{\mathrm{8}}…
Question Number 74173 by Mr. K last updated on 19/Nov/19 Commented by Mr. K last updated on 19/Nov/19 $${Whats}\:{the}\:{perimeter}\:{of}\:{ABC}? \\ $$ Answered by mind is…
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