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Author: Tinku Tara

let-f-U-R-n-R-p-be-an-application-where-U-is-an-open-set-prove-that-x-U-h-R-n-such-as-x-h-U-

Question Number 71548 by Cmr 237 last updated on 17/Oct/19 $$\mathrm{let}\:\mathrm{f}:\boldsymbol{\mathrm{U}}\subset\mathbb{R}^{\mathrm{n}} \rightarrow\mathbb{R}^{\mathrm{p}} \:\mathrm{be}\:\mathrm{an}\:\mathrm{application} \\ $$$$\mathrm{where}\:\boldsymbol{\mathrm{U}}\:\mathrm{is}\:\mathrm{an}\:\mathrm{open}\:\mathrm{set} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\forall\mathrm{x}\in\boldsymbol{{U}},\exists\mathrm{h}\in\mathbb{R}^{\mathrm{n}} \mathrm{such}\:\mathrm{as} \\ $$$$\mathrm{x}+\mathrm{h}\in\boldsymbol{{U}} \\ $$ Answered by mind…

sin-2-x-1-cos-2-1-x-dx-x-2-

Question Number 137083 by mnjuly1970 last updated on 29/Mar/21 $$\:\:\:\:\:\boldsymbol{\phi}=\int^{\:} {sin}\left(\frac{\mathrm{2}}{{x}}\right)\sqrt{\mathrm{1}+{cos}^{\mathrm{2}} \left(\frac{\mathrm{1}}{{x}}\right)}\:\frac{{dx}}{{x}^{\mathrm{2}} } \\ $$ Answered by Ar Brandon last updated on 29/Mar/21 $$\emptyset=\int\mathrm{sin}\left(\frac{\mathrm{2}}{\mathrm{x}}\right)\sqrt{\mathrm{1}+\mathrm{cos}^{\mathrm{2}} \left(\frac{\mathrm{1}}{\mathrm{x}}\right)}\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{2}}…

Question-137069

Question Number 137069 by 0731619177 last updated on 29/Mar/21 Answered by Ñï= last updated on 29/Mar/21 $$\left(\mathrm{1}\right){y}_{{p}} =\frac{\mathrm{1}}{{D}^{\mathrm{2}} +\mathrm{2}{D}+\mathrm{5}}\left(\mathrm{6sin}\:\mathrm{2}{x}+\mathrm{7cos}\:\mathrm{2}{x}\right) \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}{D}+\mathrm{1}}\left(\mathrm{6sin}\:\mathrm{2}{x}+\mathrm{7cos}\:\mathrm{2}{x}\right)=\frac{\left(\mathrm{1}+\mathrm{2}{D}\right)}{\mathrm{9}}\left(\mathrm{6sin}\:\mathrm{2}\boldsymbol{{x}}+\mathrm{7cos}\:\mathrm{2}{x}\right) \\ $$$$=\frac{\mathrm{1}}{\mathrm{9}}\left(\mathrm{31cos}\:\mathrm{2}{x}−\mathrm{22sin}\:\mathrm{2}{x}\right) \\ $$$${y}={e}^{−{x}}…

a-number-consists-of-digits-1-and-2-the-sum-of-its-digits-is-2018-if-the-number-is-multiplied-with-5-the-sum-of-the-digits-will-be-10000-find-how-many-digits-this-number-has-

Question Number 71534 by mr W last updated on 16/Oct/19 $${a}\:{number}\:{consists}\:{of}\:{digits}\:\mathrm{1}\:{and}\:\mathrm{2}. \\ $$$${the}\:{sum}\:{of}\:{its}\:{digits}\:{is}\:\mathrm{2018}. \\ $$$${if}\:{the}\:{number}\:{is}\:{multiplied}\:{with}\:\mathrm{5},\: \\ $$$${the}\:{sum}\:{of}\:{the}\:{digits}\:{will}\:{be}\:\mathrm{10000}. \\ $$$${find}\:{how}\:{many}\:{digits}\:{this}\:{number} \\ $$$${has}. \\ $$ Answered by…

Three-interior-angles-of-a-nonagon-are-equal-and-the-sum-of-the-other-six-is-1050-Find-the-size-of-one-of-the-equal-angles-

Question Number 71533 by pete last updated on 16/Oct/19 $$\mathrm{Three}\:\mathrm{interior}\:\mathrm{angles}\:\mathrm{of}\:\mathrm{a}\:\mathrm{nonagon}\:\mathrm{are} \\ $$$$\mathrm{equal}\:\mathrm{and}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{other}\:\mathrm{six}\:\mathrm{is}\:\mathrm{1050}° \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{size}\:\mathrm{of}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equal}\:\mathrm{angles}. \\ $$ Answered by MJS last updated on 17/Oct/19 $$\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{interior}\:\mathrm{angles}\:\mathrm{is}\:\mathrm{1260}° \\…