Question Number 125621 by ZiYangLee last updated on 12/Dec/20 $$\mathrm{Consider}\:\mathrm{a}\:\mathrm{continuously}\:\mathrm{differentiable} \\ $$$$\mathrm{function}\:{f}:\left[\mathrm{0},\mathrm{1}\right]\rightarrow\mathbb{R}\:\mathrm{such}\:\mathrm{that}\:{f}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$$\mathrm{and}\:{f}\left(\mathrm{1}\right)=\mathrm{1}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{minimum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\int_{\mathrm{0}} ^{\mathrm{1}} \left({f}'\left({x}\right)\right)^{\mathrm{2}} \sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx} \\ $$ Terms of Service…
Question Number 191151 by TUN last updated on 19/Apr/23 $${f}\left({x}\right)+{f}\left(\mathrm{1}−{x}\right)={x}^{\mathrm{2}} \\ $$$$=>{f}\left({x}\right)=¿ \\ $$ Answered by Rasheed.Sindhi last updated on 19/Apr/23 $${f}\left({x}\right)+{f}\left(\mathrm{1}−{x}\right)={x}^{\mathrm{2}} …….\left({i}\right) \\ $$$${Replacing}\:{x}\:{by}\:\mathrm{1}−{x}:…
Question Number 191131 by TUN last updated on 18/Apr/23 Answered by a.lgnaoui last updated on 19/Apr/23 $$\bigtriangleup=\left(\mathrm{2m}−\mathrm{1}\right)^{\mathrm{2}} −\mathrm{4}\left(\mathrm{m}^{\mathrm{2}} −\mathrm{6}\right)=\mathrm{25}−\mathrm{4m} \\ $$$$\bigtriangleup>\mathrm{0}\:\:\:\Rightarrow\mathrm{pour}\:\:\:\:\mathrm{m}<\frac{\mathrm{25}}{\mathrm{4}}\:\:\:\:\:\:\mathrm{2}\:\mathrm{solutions} \\ $$$$\mathrm{x}_{\mathrm{1}} =\frac{\mathrm{2m}−\mathrm{1}−\sqrt{\mathrm{25}−\mathrm{4m}}}{\mathrm{2}};\:\:\mathrm{x}_{\mathrm{2}} =\frac{\mathrm{2m}−\mathrm{1}+\sqrt{\mathrm{25}−\mathrm{4m}}}{\mathrm{2}}…
Question Number 191121 by SANOGO last updated on 18/Apr/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 60045 by Kunal12588 last updated on 17/May/19 Commented by Kunal12588 last updated on 17/May/19 $${Ans}\::\:\mathrm{177}\frac{\mathrm{1}}{\mathrm{4}}\pi\:\:\left({given}\:{in}\:{book}\right) \\ $$ Commented by mr W last updated…
Question Number 60043 by Kunal12588 last updated on 17/May/19 $${Show}\:{that}\:{in}\:{a}\:\mathrm{30}°−\mathrm{60}°−\mathrm{90}°\:{triangle}\:{the}\: \\ $$$${altitude}\:{on}\:{the}\:{hypotaneuse}\:{divides}\:{the}\: \\ $$$${hypotaneuse}\:{into}\:{segments}\:{whose}\:{length} \\ $$$${has}\:{the}\:{ratio}\:\mathrm{1}/\mathrm{3}. \\ $$$${without}\:{using}\:{trigonometry}. \\ $$ Answered by tanmay last updated…
Question Number 125575 by ZiYangLee last updated on 12/Dec/20 $$\mathrm{If}\:\underset{{x}\rightarrow{a}} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} −{bx}+\mathrm{4}{b}}{{x}−{a}}=−\mathrm{6},\:\mathrm{find}\:{a}\:\mathrm{and}\:{b}. \\ $$ Answered by ajfour last updated on 12/Dec/20 $${a}^{\mathrm{2}} −{ab}+\mathrm{4}{b}=\mathrm{0} \\ $$$$\mathrm{2}{a}−{b}=−\mathrm{6}…
Question Number 60016 by otchereabdullai@gmail.com last updated on 17/May/19 $$\mathrm{A}\:\mathrm{car}\:\mathrm{dealar}\:\mathrm{made}\:\mathrm{a}\:\mathrm{profit}\:\mathrm{of}\:\mathrm{22}.\mathrm{5\%} \\ $$$$\mathrm{by}\:\mathrm{selling}\:\mathrm{a}\:\mathrm{car}\:\mathrm{for}\:\mathrm{58000}\:\mathrm{cedis}.\:\mathrm{Find}\: \\ $$$$\mathrm{correct}\:\mathrm{to}\:\mathrm{two}\:\mathrm{decimal}\:\mathrm{places}\:\mathrm{the}\: \\ $$$$\mathrm{percentage}\:\mathrm{profit}\:\mathrm{if}\:\mathrm{the}\:\mathrm{car}\:\mathrm{had}\:\mathrm{been}\: \\ $$$$\mathrm{sold}\:\mathrm{for}\:\mathrm{61},\mathrm{200}\:\mathrm{cedis}.\: \\ $$ Answered by MJS last updated…
Question Number 191091 by otchereabdullai last updated on 18/Apr/23 $${The}\:{front}\:{of}\:{a}\:{train}\:\mathrm{80}{m}\:{long}\:{passes} \\ $$$${a}\:{signal}\:{at}\:{a}\:{speed}\:{of}\:\mathrm{72}{km}/{h}.\:{If}\:{the} \\ $$$${rear}\:{of}\:{the}\:{train}\:{passes}\:{the}\:{signal}\: \\ $$$$\mathrm{5}{seconds}\:{later},\:{find}\: \\ $$$$\left({a}\right)\:{the}\:{acceleration}\:{of}\:{the}\:{train} \\ $$$$\left({b}\right)\:{the}\:{speed}\:{at}\:{which}\:{the}\:{rear}\:{of}\:{the} \\ $$$${train}\:{passes}\:{the}\:{signal}. \\ $$ Answered…
Question Number 60010 by naka3546 last updated on 17/May/19 Commented by naka3546 last updated on 17/May/19 $${FOE}\:\:\:{collinear}\:\:? \\ $$ Answered by tanmay last updated on…