Question Number 56404 by harish 12@g last updated on 16/Mar/19 Answered by $@ty@m last updated on 16/Mar/19 $$\because\:{the}\:{interest}\:{is}\:{compounded}\: \\ $$$${half}\:{yearly}. \\ $$$$\therefore\:{r}=\frac{\mathrm{14}}{\mathrm{2}}=\mathrm{7\%}\:\&\:\left({i}\right)\:{t}=\mathrm{6}×\mathrm{2}=\mathrm{12}\:{months}\:=\:\mathrm{1}\:{yr} \\ $$$${I}=\frac{{Prt}}{\mathrm{100}}\:=\frac{\mathrm{80000}×\mathrm{7}×\mathrm{1}}{\mathrm{100}}=\mathrm{5600} \\…
Question Number 56401 by harish 12@g last updated on 16/Mar/19 $$\int\frac{{x}+\mathrm{sin}\:{x}}{\mathrm{1}+\mathrm{cos}\:{x}}{dx} \\ $$ Commented by maxmathsup by imad last updated on 16/Mar/19 $${I}\:=\int\:\:\frac{{x}}{\mathrm{1}+{cosx}}{dx}\:+\int\:\:\frac{{sinx}}{\mathrm{1}+{cosx}}{dx}\:\:\:\:\:\:{we}\:{have}\:\int\:\frac{{sinx}}{\mathrm{1}+{cosx}}{dx}\:=−{ln}\mid\mathrm{1}+{cosx}\mid\:+{c}_{\mathrm{1}} \\ $$$$\int\:\:\frac{{x}}{\mathrm{1}+{cosx}}{dx}\:=_{{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}}…
Question Number 56392 by otchereabdullai@gmail.com last updated on 15/Mar/19 $$\mathrm{find}\:\mathrm{the}\:\mathrm{integral}\:\mathrm{of}\:\:\int\mathrm{x}\sqrt{\mathrm{x}−\mathrm{1}}\mathrm{dx} \\ $$ Commented by maxmathsup by imad last updated on 16/Mar/19 $${changement}\:\sqrt{{x}−\mathrm{1}}={t}\:{give}\:{x}−\mathrm{1}\:={t}^{\mathrm{2}} \:\Rightarrow \\ $$$$\int\:{x}\sqrt{{x}−\mathrm{1}}{dx}\:=\int\:\left(\mathrm{1}+{t}^{\mathrm{2}}…
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Question Number 187453 by norboyev last updated on 17/Feb/23 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\sqrt{\mathrm{sin}{x}}\mathrm{d}{x}=? \\ $$ Answered by Frix last updated on 17/Feb/23 $$\int\sqrt{\mathrm{sin}\:{x}}\:{dx}=\:\left[\mathrm{Elliptic}\:\mathrm{Integral}\right] \\ $$$$=−\mathrm{2}{E}\:\left(\frac{\pi}{\mathrm{4}}−\frac{{x}}{\mathrm{2}}\mid\mathrm{2}\right)\:+{C} \\…
Question Number 56384 by Gulay last updated on 15/Mar/19 Commented by Gulay last updated on 15/Mar/19 $$\mathrm{sir}\:\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$ Commented by mr W last updated…
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Question Number 187444 by Tom last updated on 17/Feb/23 $$\mathrm{2}{x}+\frac{\mathrm{3}}{\mathrm{8}}=\sqrt[{\mathrm{4}}]{{x}} \\ $$$${x}=? \\ $$ Commented by mr W last updated on 17/Feb/23 $${you}\:{should}\:“{see}''\:{x}=\frac{\mathrm{1}}{\mathrm{16}}. \\ $$…
Question Number 121909 by help last updated on 12/Nov/20 Answered by mr W last updated on 13/Nov/20 $${say}\:{a}\:{bird}\:{needs}\:{p}\:{times}\:{energy}\:{to} \\ $$$${fly}\:{over}\:{water}\:{as}\:{over}\:{land}. \\ $$$${say}\:{BC}={x} \\ $$$${AC}=\sqrt{{x}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}}…
Question Number 56368 by Hassen_Timol last updated on 15/Mar/19 $${What}\:{is}\:{the}\:{common}\:{formula}\:{to}\:{obtain} \\ $$$${the}\:\mathrm{3}\:{solutions}\:{of}\:{a}\:{polynomial}\:{equation} \\ $$$${in}\:{the}\:{following}\:{form}\:? \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:{ax}^{\mathrm{3}} \:+\:{b}^{\mathrm{2}} {x}\:+\:{cx}\:+\:{d}\:=\:\mathrm{0} \\ $$ Commented by mr…