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Question-168013

Question Number 168013 by leicianocosta last updated on 31/Mar/22 Answered by nurtani last updated on 31/Mar/22 $$\:\:\:\:\:^{\mathrm{9}} \sqrt{{x}}+\frac{\:^{\mathrm{9}} \sqrt{{x}^{\mathrm{8}} }}{{x}}=\frac{\mathrm{17}}{\mathrm{4}} \\ $$$$\Leftrightarrow\:{x}^{\frac{\mathrm{1}}{\mathrm{9}}} +\frac{{x}^{\frac{\mathrm{8}}{\mathrm{9}}} }{{x}}=\frac{\mathrm{17}}{\mathrm{4}} \\…

Divide-a-5-2-5a-2-b-1-3-10a-3-2-b-2-3-10ab-5a-1-2-b-4-3-by-a-1-2-b-1-3-

Question Number 168000 by aurpeyz last updated on 31/Mar/22 $${Divide}\:{a}^{\frac{\mathrm{5}}{\mathrm{2}}} −\mathrm{5}{a}^{\mathrm{2}} {b}^{\frac{\mathrm{1}}{\mathrm{3}}} +\mathrm{10}{a}^{\frac{\mathrm{3}}{\mathrm{2}}} {b}^{\frac{\mathrm{2}}{\mathrm{3}}} −\mathrm{10}{ab}+\mathrm{5}{a}^{\frac{\mathrm{1}}{\mathrm{2}}} {b}^{\frac{\mathrm{4}}{\mathrm{3}}} \:{by}\:{a}^{\frac{\mathrm{1}}{\mathrm{2}}} −{b}^{\frac{\mathrm{1}}{\mathrm{3}}} \\ $$ Terms of Service Privacy Policy…

cosxcos-pi-6-sin-pi-6-sinx-pi-4-

Question Number 167986 by DAVONG last updated on 31/Mar/22 $$\mathrm{cosxcos}\frac{\pi}{\mathrm{6}}−\mathrm{sin}\frac{\pi}{\mathrm{6}}\mathrm{sinx}=\frac{\pi}{\mathrm{4}} \\ $$ Answered by Rasheed.Sindhi last updated on 31/Mar/22 $$\mathrm{cosxcos}\frac{\pi}{\mathrm{6}}−\mathrm{sin}\frac{\pi}{\mathrm{6}}\mathrm{sinx}=\frac{\pi}{\mathrm{4}} \\ $$$$\Rightarrow\mathrm{cos}\left({x}+\frac{\pi}{\mathrm{6}}\right)=\frac{\pi}{\mathrm{4}}\: \\ $$$$\:\:\:\:\:{x}+\frac{\pi}{\mathrm{6}}=\mathrm{cos}^{−\mathrm{1}} \left(\frac{\pi}{\mathrm{4}}\right)…

prove-a-2-b-2-sin-cos-ab-a-2-b-2-cos-2-b-2-asin-bcos-acos-bsin-

Question Number 167929 by Huy last updated on 29/Mar/22 $${prove}:\: \\ $$$$\:\:\:\:\:\:\:\frac{\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} \right)\mathrm{sin}\alpha\mathrm{cos}\alpha−{ab}}{\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} \right)\mathrm{cos}^{\mathrm{2}} \alpha−{b}^{\mathrm{2}} }=\frac{{a}\mathrm{sin}\alpha−{b}\mathrm{cos}\alpha}{{a}\mathrm{cos}\alpha+{b}\mathrm{sin}\alpha} \\ $$ Answered by som(math1967) last updated…

Given-f-x-ax-5-bx-4-cx-3-dx-2-ex-f-f-1-1-f-2-1-4-f-3-1-9-f-4-1-16-f-5-1-25-and-f-6-1-36-Value-of-f-8-

Question Number 167925 by naka3546 last updated on 29/Mar/22 $$\mathrm{Given}\:\:{f}\left({x}\right)\:=\:{ax}^{\mathrm{5}} \:+\:{bx}^{\mathrm{4}} \:+\:{cx}^{\mathrm{3}} \:+\:{dx}^{\mathrm{2}} \:+\:{ex}\:+\:{f}\:. \\ $$$${f}\left(\mathrm{1}\right)\:=\:\mathrm{1}\:,\:{f}\left(\mathrm{2}\right)\:=\:\frac{\mathrm{1}}{\mathrm{4}}\:\:,\:\:{f}\left(\mathrm{3}\right)\:=\:\frac{\mathrm{1}}{\mathrm{9}}\:\:,\:\:{f}\left(\mathrm{4}\right)\:=\:\frac{\mathrm{1}}{\mathrm{16}}\:\:, \\ $$$${f}\left(\mathrm{5}\right)\:=\:\frac{\mathrm{1}}{\mathrm{25}}\:\:,\:\:{and}\:\:{f}\left(\mathrm{6}\right)\:=\:\frac{\mathrm{1}}{\mathrm{36}}\:. \\ $$$${Value}\:\:{of}\:\:{f}\left(\mathrm{8}\right)\:=\:? \\ $$ Answered by mr…