Question Number 106005 by bemath last updated on 02/Aug/20 $$\left(\mathrm{1}\right)\:\mathrm{y}'\:=\:\frac{\mathrm{y}−\mathrm{2x}}{\mathrm{2y}+\mathrm{x}} \\ $$$$\left(\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2}^{\mathrm{x}} −\mathrm{cos}\:\mathrm{x}}{\mathrm{sin}\:\mathrm{x}} \\ $$ Answered by bobhans last updated on 02/Aug/20 $$\left(\mathrm{1}\right)\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{y}−\mathrm{2x}}{\mathrm{2y}+\mathrm{x}}\:\:\left[\:\mathrm{set}\:\mathrm{y}\:=\:\flat\mathrm{x}\:\right]\: \\…
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Question Number 171514 by mokys last updated on 16/Jun/22 $$\:{compute}\:{by}\:{betta}\:{function}\:\int_{\mathrm{0}} ^{\:\mathrm{4}\pi} \sqrt{{cscx}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40434 by vitlu last updated on 21/Jul/18 $${prove}\:{that}\:\mathrm{ln}\left({x}\right)\:{is}\:{irrational}\:{for}\:{x}\:{natural} \\ $$ Commented by math khazana by abdo last updated on 21/Jul/18 $${let}\:{x}={n}\:{natural}\:>\mathrm{1}\:{let}\:{prove}\:{that}\:{ln}\left({n}\right)\notin{Q} \\ $$$${if}\:{ln}\left({n}\right)\in{Q}\:\:\exists\left({p},{q}\right)\in{N}^{\mathrm{2}}…
Question Number 171497 by MathsFan last updated on 16/Jun/22 Commented by MathsFan last updated on 16/Jun/22 $${Any}\:{help}\:{please} \\ $$ Commented by cortano1 last updated on…
Question Number 171499 by MathsFan last updated on 16/Jun/22 $$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{sample}}\:\boldsymbol{\mathrm{of}}\:\mathrm{20}\:\boldsymbol{\mathrm{numbers}}\:\boldsymbol{\mathrm{is}} \\ $$$$\mathrm{320}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{their}}\:\boldsymbol{\mathrm{squares}}\: \\ $$$$\:\boldsymbol{\mathrm{is}}\:\mathrm{5840}.\:\boldsymbol{\mathrm{Calculate}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{mean}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\: \\ $$$$\:\boldsymbol{\mathrm{first}}\:\boldsymbol{\mathrm{nineteen}}\:\boldsymbol{\mathrm{numbers}}\:\boldsymbol{\mathrm{if}}\:\boldsymbol{\mathrm{the}}\:\mathrm{20}^{\boldsymbol{\mathrm{th}}} \: \\ $$$$\boldsymbol{\mathrm{observation}}\:\boldsymbol{\mathrm{is}}\:\mathrm{25}. \\ $$ Answered by Rasheed.Sindhi last…
Question Number 105949 by bachamohamed last updated on 01/Aug/20 $$\int\boldsymbol{{arctan}}\left(\left(\boldsymbol{{t}}^{\mathrm{2}} −\mathrm{1}\right)\sqrt{\boldsymbol{\beta}}\right)\boldsymbol{{dt}}=? \\ $$ Answered by Her_Majesty last updated on 01/Aug/20 $$\mathrm{1}^{{st}} \:{step}\:{by}\:{parts} \\ $$$$\Rightarrow \\…
Question Number 105943 by bachamohamed last updated on 01/Aug/20 $$\:\:\:\:\:\int\boldsymbol{{ln}}\left(\mathrm{1}+\boldsymbol{\alpha}\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}\right)\mathrm{dx}=? \\ $$ Answered by Dwaipayan Shikari last updated on 01/Aug/20 $$\int{log}\left(\mathrm{1}+\alpha\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}\right){dx}={I}\left(\alpha\right) \\ $$$${I}^{'}…
Question Number 171455 by mokys last updated on 15/Jun/22 $${find}\:{the}\:{sum}\:{of}\:{z}\:=\:{sinx}\:+\:{sin}\mathrm{2}{x}+{sin}\mathrm{3}{x}+……+{sinnx}\: \\ $$ Commented by mr W last updated on 15/Jun/22 $${z}=\frac{\mathrm{cos}\:\frac{{x}}{\mathrm{2}}−\mathrm{cos}\:\left({n}+\frac{\mathrm{1}}{\mathrm{2}}\right){x}}{\:\mathrm{2}\:\mathrm{sin}\:\frac{{x}}{\mathrm{2}}} \\ $$ Answered by…
Question Number 171448 by Gbenga last updated on 15/Jun/22 $$\int_{\mathrm{0}} ^{\frac{\boldsymbol{\pi}}{\mathrm{2}}} \boldsymbol{\mathrm{x}}\sqrt{\boldsymbol{\mathrm{cos}}\left(\boldsymbol{\mathrm{x}}\right)}\boldsymbol{\mathrm{dx}}\:\:\:\boldsymbol{\mathrm{evaluate}}!!!! \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com