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Question-32240

Question Number 32240 by mondodotto@gmail.com last updated on 22/Mar/18 Answered by MJS last updated on 22/Mar/18 $$\frac{\mathrm{cos}\:\alpha}{\mathrm{sin}\:\beta×\mathrm{sin}\:\gamma}+\frac{\mathrm{cos}\:\beta}{\mathrm{sin}\:\alpha×\mathrm{sin}\:\gamma}+\frac{\mathrm{cos}\:\gamma}{\mathrm{sin}\:\alpha×\mathrm{sin}\:\beta}= \\ $$$$=\frac{\mathrm{cos}\:\alpha×\mathrm{sin}\:\alpha+\mathrm{cos}\:\beta×\mathrm{sin}\:\beta+\mathrm{cos}\:\gamma×\mathrm{sin}\:\gamma}{\mathrm{sin}\:\alpha×\mathrm{sin}\:\beta×\mathrm{sin}\:\gamma} \\ $$$$ \\ $$$$\mathrm{I}. \\ $$$$\mathrm{cos}\:\alpha×\mathrm{sin}\:\alpha+\mathrm{cos}\:\beta×\mathrm{sin}\:\beta+\mathrm{cos}\:\gamma×\mathrm{sin}\:\gamma=…

Question-163259

Question Number 163259 by SANOGO last updated on 05/Jan/22 Answered by TheSupreme last updated on 05/Jan/22 $$\left.\mathrm{1}\right)\: \\ $$$${b}^{{n}} −\mathrm{1}\equiv\mathrm{0}\left({b}−\mathrm{1}\right) \\ $$$$\left({b}−\mathrm{1}\right){P}_{{n}−\mathrm{1}} \left({b}\right)={b}^{{n}} −\mathrm{1} \\…

Question-163226

Question Number 163226 by nurtani last updated on 05/Jan/22 Commented by Rasheed.Sindhi last updated on 06/Jan/22 $$\boldsymbol{\mathrm{Sir}}\:\boldsymbol{\mathrm{mr}}\:\boldsymbol{\mathrm{W}},{why}\:{have}\:{you}\:{deleted}\:{your} \\ $$$${answer}? \\ $$ Commented by mr W…

The-arc-of-parabola-y-x-2-9-in-0-lt-x-lt-3-is-revolved-about-the-line-y-c-and-0-lt-c-lt-9-to-generate-a-solid-Find-the-value-of-c-that-minimizes-the-volume-of-the-solid-

Question Number 163223 by ZiYangLee last updated on 05/Jan/22 $$\mathrm{The}\:\mathrm{arc}\:\mathrm{of}\:\mathrm{parabola}\:{y}=−{x}^{\mathrm{2}} +\mathrm{9}\:\mathrm{in}\:\mathrm{0}<{x}<\mathrm{3} \\ $$$$\mathrm{is}\:\mathrm{revolved}\:\mathrm{about}\:\mathrm{the}\:\mathrm{line}\:{y}={c}\:\mathrm{and}\:\mathrm{0}<{c}<\mathrm{9} \\ $$$$\mathrm{to}\:\mathrm{generate}\:\mathrm{a}\:\mathrm{solid}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{c}\:\mathrm{that}\:\mathrm{minimizes}\:\mathrm{the}\: \\ $$$$\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\mathrm{solid}. \\ $$ Answered by TheSupreme last…