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Author: Tinku Tara

x-4-2-1-y-0-4-2-2x-4y-

Question Number 10124 by konen last updated on 25/Jan/17 $$\mathrm{x}=\mathrm{4}^{\left(−\mathrm{2}\right)^{−\mathrm{1}} } \\ $$$$\mathrm{y}=\left(\mathrm{0}.\mathrm{4}\right)^{−\mathrm{2}} \\ $$$$\Rightarrow\:\mathrm{2x}+\mathrm{4y}=? \\ $$ Answered by FilupSmith last updated on 25/Jan/17 $${x}=\mathrm{4}^{\left(−\mathrm{2}\right)^{−\mathrm{1}}…

A-2-1-1-3-1-2-2-1-2-find-the-inverse-of-this-matrix-

Question Number 141193 by Eric002 last updated on 16/May/21 $${A}=\begin{bmatrix}{\mathrm{2}\:\:}&{\mathrm{1}}&{−\mathrm{1}}\\{−\mathrm{3}}&{−\mathrm{1}}&{\mathrm{2}}\\{−\mathrm{2}}&{\mathrm{1}}&{\mathrm{2}}\end{bmatrix}{find}\:{the}\:{inverse}\:{of}\:\:{this}\:{matrix} \\ $$$$ \\ $$ Answered by bramlexs22 last updated on 16/May/21 $$\:{Cayley}−{Hamilton}\:{theorem} \\ $$$$\:\mid{A}−\lambda{I}\mid\:=\:\mathrm{0} \\…

find-the-area-of-the-shaded-region-shown-below-which-is-boinded-by-to-functions-f-x-x-2-g-x-2-x-and-the-x-axis-

Question Number 141189 by Eric002 last updated on 16/May/21 $${find}\:{the}\:{area}\:{of}\:{the}\:{shaded}\:{region} \\ $$$${shown}\:{below}\:{which}\:{is}\:{boinded}\:{by}\:{to}\:{functions}\: \\ $$$${f}\left({x}\right)={x}^{\mathrm{2}} \:\:{g}\left({x}\right)=\mathrm{2}−{x}\:{and}\:{the}\:{x}-{axis} \\ $$$$ \\ $$ Commented by Eric002 last updated on…

Let-f-R-R-be-a-function-such-that-f-x-x-3-x-2-f-1-xf-2-f-3-for-x-R-1-What-is-f-1-equal-to-2-What-is-f-1-equal-to-3-What-is-f-10-equal-to-For-this-question-consider-the-following-

Question Number 10118 by Gaurav3651 last updated on 25/Jan/17 $${Let}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:{be}\:{a}\:{function}\:{such}\:{that} \\ $$$${f}\left({x}\right)={x}^{\mathrm{3}} +{x}^{\mathrm{2}} {f}'\left(\mathrm{1}\right)+{xf}''\left(\mathrm{2}\right)+{f}'''\left(\mathrm{3}\right) \\ $$$${for}\:{x}\in\mathbb{R}. \\ $$$$\left.\mathrm{1}\right){What}\:{is}\:{f}\left(\mathrm{1}\right)\:{equal}\:{to}? \\ $$$$\left.\mathrm{2}\right){What}\:{is}\:{f}'\left(\mathrm{1}\right)\:{equal}\:{to}? \\ $$$$\left.\mathrm{3}\right){What}\:{is}\:{f}'''\left(\mathrm{10}\right)\:{equal}\:{to}? \\ $$$${For}\:{this}\:{question}\:{consider}\:{the}\:{following}: \\…

find-the-volume-of-the-solid-generated-when-the-region-bounded-by-the-y-x-y-x-2-x-2-and-x-4-revolved-about-the-x-axis-

Question Number 141191 by Eric002 last updated on 17/May/21 $${find}\:{the}\:{volume}\:{of}\:{the}\:{solid}\:{generated} \\ $$$${when}\:{the}\:{region}\:{bounded}\:{by}\:{the}\:{y}={x} \\ $$$${y}={x}+\mathrm{2},\:{x}=\mathrm{2}\:{and}\:{x}=\mathrm{4}\:{revolved}\:{about}\:{the}\:{x}-{axis} \\ $$ Answered by ajfour last updated on 17/May/21 $$\:{V}=\pi\int_{\mathrm{2}} ^{\:\:\mathrm{4}}…

A-point-is-chosen-at-random-inside-a-rectangle-measuring-5-inches-by-6-inches-What-is-the-probability-that-the-randomly-selected-point-is-at-least-1-inch-from-the-edge-of-rectangle-

Question Number 10117 by Gaurav3651 last updated on 25/Jan/17 $${A}\:{point}\:{is}\:{chosen}\:{at}\:{random}\:{inside} \\ $$$${a}\:{rectangle}\:{measuring}\:\mathrm{5}\:{inches} \\ $$$${by}\:\mathrm{6}\:{inches}.{What}\:{is}\:{the}\:{probability} \\ $$$${that}\:{the}\:{randomly}\:{selected}\:{point} \\ $$$${is}\:{at}\:{least}\:\mathrm{1}\:{inch}\:{from}\:{the}\:{edge}\:{of} \\ $$$${rectangle}? \\ $$ Commented by prakash…

what-is-the-probability-of-5-sundays-in-the-month-of-december-

Question Number 10116 by Gaurav3651 last updated on 25/Jan/17 $${what}\:{is}\:{the}\:{probability}\:{of}\:\mathrm{5}\:{sundays} \\ $$$${in}\:{the}\:{month}\:{of}\:{december}? \\ $$ Commented by prakash jain last updated on 25/Jan/17 $$\mathrm{Favorable}\:\mathrm{cases}−\:\mathrm{1}\:\mathrm{dec} \\ $$$$\mathrm{1}\:\mathrm{dec}\:\mathrm{Sunday}\Rightarrow\mathrm{1},\mathrm{8},\mathrm{15},\mathrm{22},\mathrm{29}\:\mathrm{are}\:\mathrm{sundays}…