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Author: Tinku Tara

for-a-geometric-series-can-the-sun-to-infinty-use-the-two-formulas-S-a-1-r-r-lt-1-and-S-a-r-1-r-gt-1-please-i-am-getting-confused-on-this-

Question Number 66439 by Rio Michael last updated on 15/Aug/19 $${for}\:{a}\:{geometric}\:{series}. \\ $$$${can}\:{the}\:{sun}\:{to}\:{infinty}\:{use}\:{the}\:{two}\:{formulas} \\ $$$${S}_{\infty} =\:\frac{{a}}{\mathrm{1}−{r}}\:\:\mid{r}\mid\:\:<\mathrm{1}\:\:{and}\:{S}_{\infty} \:=\:\frac{{a}}{{r}−\mathrm{1}}\:\mid{r}\mid\:>\:\mathrm{1}\:??\:{please}\:{i}\:{am}\:{getting}\:{confused}\:{on}\:{this}. \\ $$ Commented by JDamian last updated on…

X-is-a-person-that-can-only-one-of-these-a-only-tell-truth-b-only-tell-lie-using-a-minimal-number-of-question-how-to-discover-what-type-of-people-are-X-

Question Number 902 by 123456 last updated on 18/Apr/15 $$\mathrm{X}\:\mathrm{is}\:\mathrm{a}\:\mathrm{person}\:\mathrm{that}\:\mathrm{can}\:\mathrm{only}\:\mathrm{one}\:\mathrm{of}\:\mathrm{these} \\ $$$$\mathrm{a}.\mathrm{only}\:\mathrm{tell}\:\mathrm{truth} \\ $$$$\mathrm{b}.\mathrm{only}\:\mathrm{tell}\:\mathrm{lie} \\ $$$$\mathrm{using}\:\mathrm{a}\:\mathrm{minimal}\:\mathrm{number}\:\mathrm{of}\:\mathrm{question} \\ $$$$\mathrm{how}\:\mathrm{to}\:\mathrm{discover}\:\mathrm{what}\:\mathrm{type}\:\mathrm{of}\:\mathrm{people} \\ $$$$\mathrm{are}\:\mathrm{X}? \\ $$ Answered by prakash…

Ninety-students-including-Joe-and-Jane-are-to-be-split-into-three-classes-of-equal-size-and-is-to-be-done-at-random-What-is-the-probability-that-Joe-and-Jane-end-up-in-the-same-class-

Question Number 131975 by liberty last updated on 10/Feb/21 $$\:\mathrm{Ninety}\:\mathrm{students}\:,\:\mathrm{including}\:\mathrm{Joe} \\ $$$$\mathrm{and}\:\mathrm{Jane}\:\mathrm{are}\:\mathrm{to}\:\mathrm{be}\:\mathrm{split}\:\mathrm{into}\: \\ $$$$\mathrm{three}\:\mathrm{classes}\:\mathrm{of}\:\mathrm{equal}\:\mathrm{size}\:\mathrm{and}\:\mathrm{is} \\ $$$$\mathrm{to}\:\mathrm{be}\:\mathrm{done}\:\mathrm{at}\:\mathrm{random}.\:\mathrm{What}\:\mathrm{is} \\ $$$$\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{Joe}\:\mathrm{and}\:\mathrm{Jane} \\ $$$$\mathrm{end}\:\mathrm{up}\:\mathrm{in}\:\mathrm{the}\:\mathrm{same}\:\mathrm{class}\:? \\ $$ Commented by liberty…

math-analysis-xsin-x-x-2-2x-2-dx-xsin-x-x-1-2-1-dx-x-1-t-t-1-sin-t-1-t-2-1-dt-

Question Number 131969 by mnjuly1970 last updated on 10/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:…\:{math}\:\:{analysis}… \\ $$$$\:\:\:\:\phi=\:\:\int_{−\infty} ^{\:+\infty} \frac{{xsin}\left({x}\right)}{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{2}}{dx}=? \\ $$$$\:\:\:\:\:\phi=\int_{−\infty} ^{\:+\infty} \frac{{xsin}\left({x}\right)}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$$$\:\:\:\:\:\:\:\overset{{x}+\mathrm{1}={t}} {=}\int_{−\infty} ^{\:+\infty} \frac{\left({t}−\mathrm{1}\right){sin}\left({t}−\mathrm{1}\right)}{{t}^{\mathrm{2}}…

lim-x-cos-2-x-x-1-2x-

Question Number 66434 by iklima_0412 last updated on 15/Aug/19 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{cos}^{\mathrm{2}} \mathrm{x}−\mathrm{x}}{\mathrm{1}−\mathrm{2x}} \\ $$ Commented by mathmax by abdo last updated on 15/Aug/19 $${let}\:{f}\left({x}\right)=\frac{{cos}^{\mathrm{2}} {x}−{x}}{\mathrm{1}−\mathrm{2}{x}}\:\Rightarrow\:{for}\:{x}\:\neq\mathrm{0}\:\:{we}\:{have}\:{f}\left({x}\right)=\frac{{x}−{cos}^{\mathrm{2}}…

A-2kg-is-attached-to-the-end-of-a-vertical-wire-of-length-2m-with-a-diameter-of-0-64mm-and-having-an-extension-of-0-60m-Calculate-the-tensile-strain-on-the-wire-take-g-9-8-

Question Number 66433 by yyuuuuuuuu last updated on 15/Aug/19 $$\mathrm{A}\:\mathrm{2kg}\:\mathrm{is}\:\mathrm{attached}\:\mathrm{to}\:\mathrm{the}\:\mathrm{end}\:\mathrm{of}\:\mathrm{a}\:\mathrm{vertical}\:\mathrm{wire}\:\mathrm{of}\:\mathrm{length}\:\mathrm{2m}\:\mathrm{with}\:\mathrm{a}\:\mathrm{diameter}\:\mathrm{of}\:\mathrm{0}.\mathrm{64mm}\:\mathrm{and}\:\mathrm{having}\:\mathrm{an}\:\mathrm{extension}\:\mathrm{of}\:\mathrm{0}.\mathrm{60m}.\mathrm{Calculate}\:\mathrm{the}\:\mathrm{tensile}\:\mathrm{strain}\:\mathrm{on}\:\mathrm{the}\:\mathrm{wire}\left(\mathrm{take}\:\mathrm{g}=\mathrm{9}.\mathrm{8}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Given-that-the-velocity-v-of-a-body-t-seconds-after-passing-a-point-O-is-found-by-v-2-1-k-P-P-kv-o-2-e-2kt-m-determine-the-distance-covered-by-the-body-one-hour-after-passing-

Question Number 896 by 112358 last updated on 15/Apr/15 $${Given}\:{that}\:{the}\:{velocity}\:{v}\:{of}\:{a}\:{body} \\ $$$${t}\:{seconds}\:{after}\:{passing}\:{a}\:{point}\:{O} \\ $$$${is}\:{found}\:{by} \\ $$$$\:\:\:\:\:\:\:\:{v}^{\mathrm{2}} =\frac{\mathrm{1}}{{k}}\left[{P}−\left({P}−{kv}_{{o}} ^{\mathrm{2}} \right){e}^{−\frac{\mathrm{2}{kt}}{{m}}} \right] \\ $$$${determine}\:{the}\:{distance}\:{covered} \\ $$$${by}\:{the}\:{body}\:\:{one}\:{hour}\:{after}\: \\…