Question Number 121848 by danielasebhofoh last updated on 12/Nov/20 Answered by TANMAY PANACEA last updated on 12/Nov/20 $$\pi{r}^{\mathrm{2}} {h}+\frac{\mathrm{1}}{\mathrm{3}}\pi{r}^{\mathrm{2}} \left(\frac{\mathrm{3}}{\mathrm{4}}{r}\right)={V} \\ $$$${curved}\:{surface}\:{area}={S}=\pi{rl}+\mathrm{2}\pi{rh} \\ $$$${l}=\sqrt{{r}^{\mathrm{2}} +\left(\frac{\mathrm{3}{r}}{\mathrm{4}}\right)^{\mathrm{2}}…
Question Number 121842 by 676597498 last updated on 12/Nov/20 $$\mathrm{A}\:\mathrm{man}\:\mathrm{runs}\:\mathrm{at}\:\mathrm{constant}\:\mathrm{speed}\:\mathrm{of} \\ $$$$\mathrm{v}=\mathrm{7m}/\mathrm{s}.\:\mathrm{If}\:\mathrm{he}\:\mathrm{is}\:\mathrm{50}.\mathrm{7m}\:\mathrm{from}\:\mathrm{the}\:\mathrm{end}\:\mathrm{of}\:\mathrm{a}\:\mathrm{train}\:\mathrm{which}\:\mathrm{has}\:\mathrm{a}\:\mathrm{steady}\:\mathrm{acceleration}\:\mathrm{of}\:\mathrm{0}.\mathrm{25m}/\mathrm{s}^{\mathrm{2}} . \\ $$$$\mathrm{Will}\:\mathrm{the}\:\mathrm{man}\:\mathrm{meet}\:\mathrm{the}\:\mathrm{train}? \\ $$$$\mathrm{if}\:\mathrm{no},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{min}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{them} \\ $$$$ \\ $$ Answered by Dwaipayan Shikari…
Question Number 187379 by Humble last updated on 16/Feb/23 $${if}\:{x}\:{and}\:{y}\:{are}\:+{ve}\:{integers} \\ $$$${x}+{xy}+{y}=\mathrm{54} \\ $$$${x}+{y}=? \\ $$ Answered by horsebrand11 last updated on 16/Feb/23 $$\:\begin{cases}{{x}+{xy}+{y}+\mathrm{1}=\mathrm{55}}\\{\left({x}+\mathrm{1}\right)\left({y}+\mathrm{1}\right)=\mathrm{55}}\end{cases} \\…
Question Number 56301 by naka3546 last updated on 13/Mar/19 $${Minimum}\:\:{value}\:\:{of}\:\:{b}\:\:{that}\:\:{satisfy}\:\:{the} \\ $$$${following}\:\:{inequality}\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{53}}{\mathrm{201}}\:\:<\:\:\frac{{a}}{{b}}\:\:<\:\:\frac{\mathrm{4}}{\mathrm{15}}\:\:\:\:\:{is}\:\:\:… \\ $$ Commented by naka3546 last updated on 13/Mar/19 $${a},\:{b}\:\:{are}\:\:{positive}\:{integers}\:. \\…
Question Number 121827 by bounhome last updated on 12/Nov/20 $${y}^{'} =\frac{{cosy}−{siny}−\mathrm{1}}{{cosx}−{sinx}+\mathrm{1}}\: \\ $$ Answered by TANMAY PANACEA last updated on 12/Nov/20 $$\frac{{dy}}{{dx}}=\frac{{cosy}−{siny}−\mathrm{1}}{{cosx}−{sinx}+\mathrm{1}} \\ $$$$\frac{{dy}}{{cosy}−{siny}−\mathrm{1}}=\frac{{dx}}{{cosx}−{sinx}+\mathrm{1}} \\…
Question Number 187359 by Humble last updated on 16/Feb/23 $$ \\ $$$${what}\:{are}\:{the}\:{two}\:{complex}\:{solution}\:{to} \\ $$$${X}^{−{x}} +\left(−{X}\right)^{{x}} =\mathrm{0}\:{in}\:{addition}\:{to}\:\pm\mathrm{1}\:? \\ $$ Answered by Frix last updated on 16/Feb/23…
Question Number 121817 by shaker last updated on 12/Nov/20 Answered by liberty last updated on 12/Nov/20 $$\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\left(\frac{\mathrm{nx}^{\mathrm{m}} −\mathrm{n}−\mathrm{mx}^{\mathrm{n}} +\mathrm{m}}{\mathrm{x}^{\mathrm{m}+\mathrm{n}} −\mathrm{x}^{\mathrm{n}} −\mathrm{x}^{\mathrm{m}} +\mathrm{1}}\:\right)\:=\: \\ $$$$\:\underset{{x}\rightarrow\mathrm{1}}…
Question Number 121811 by 676597498 last updated on 11/Nov/20 $$\mathrm{if}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{0}\:\mathrm{and}\:\mathrm{f}\left(\mathrm{x}+\mathrm{4}\right)=\mathrm{1} \\ $$$$\mathrm{find}\:\mathrm{f}\left(\mathrm{q}\right)\:\mathrm{such}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{q}+\mathrm{1}\right)=\mathrm{f}\left(\mathrm{q}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 187336 by Humble last updated on 16/Feb/23 $${solve}\:{for}\:{x}\:{if} \\ $$$${X}^{{x}} \bullet\mathrm{5}^{{x}} −\mathrm{5}^{\mathrm{2}+{x}} =\mathrm{0} \\ $$$$ \\ $$ Answered by mr W last updated…
Question Number 187335 by Humble last updated on 16/Feb/23 $${Apply}\:{the}\:{rotation}\:{of}\:{coordinates}\:{given} \\ $$$${by}\:{the}\:{following}\:{matrix}\:{to}\:{the}\:{equation}\: \\ $$$${xy}=\mathrm{1};\:{what}\:{is}\:{the}\:{equation}\:{in}\:{th}\:{uv}\:{coordinate}\: \\ $$$${system}? \\ $$$$\begin{bmatrix}{{u}}\\{{v}}\end{bmatrix}=\begin{bmatrix}{{cos}\mathrm{45}\:\:\:\:\:\:\:\:\:\:\:\:\:\:{sin}\mathrm{45}}\\{−{sin}\mathrm{45}\:\:\:\:\:\:\:\:\:\:{cos}\mathrm{45}}\end{bmatrix}\begin{bmatrix}{{x}}\\{{y}}\end{bmatrix} \\ $$ Answered by anurup last updated…