Question Number 151495 by Tawa11 last updated on 21/Aug/21 Commented by Tawa11 last updated on 21/Aug/21 $$\mathrm{If}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{square}\:\mathrm{is}\:\:\:\mathrm{144m}^{\mathrm{2}} .\:\:\mathrm{Find}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}. \\ $$$$\mathrm{I}\:\mathrm{got}\:\:\:\:\:\mathrm{6}\sqrt{\mathrm{2}}\:,\:\:\:\:\mathrm{is}\:\mathrm{it}\:\mathrm{correct}? \\ $$ Commented by talminator2856791…
Question Number 85952 by jagoll last updated on 26/Mar/20 $$\int\:\:\frac{\sqrt{\mathrm{x}}}{\mathrm{2}+\sqrt[{\mathrm{3}\:\:}]{\mathrm{x}}}\:\mathrm{dx}\: \\ $$ Answered by john santu last updated on 26/Mar/20 $${let}\:{t}^{\mathrm{6}} \:=\:{x}\:\Rightarrow{dx}\:=\:\mathrm{6}{t}^{\mathrm{5}} \:{dt} \\ $$$$\int\:\:\frac{{t}^{\mathrm{3}}…
Question Number 151490 by mathdanisur last updated on 21/Aug/21 $$\begin{cases}{\mathrm{a}^{\mathrm{2}} =\mathrm{2a}+\mathrm{b}}\\{\mathrm{b}^{\mathrm{2}} =\mathrm{a}+\mathrm{2b}}\end{cases}\:\:\mathrm{and}\:\:\mathrm{a}\neq\mathrm{b}\:\:\mathrm{find}\:\:\sqrt{\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} +\mathrm{1}} \\ $$ Answered by iloveisrael last updated on 21/Aug/21 $$\Rightarrow{a}^{\mathrm{2}} +{b}^{\mathrm{2}}…
Question Number 151485 by liberty last updated on 21/Aug/21 Answered by iloveisrael last updated on 21/Aug/21 $$\:{N}\left({A}\right)=\:\frac{\mathrm{5}!}{\mathrm{3}!}×\frac{\mathrm{7}!}{\mathrm{2}!}\:=\:\frac{\mathrm{120}}{\mathrm{6}}\:×\frac{\mathrm{5040}}{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{20}×\mathrm{2520}=\mathrm{50400} \\ $$ Terms of Service Privacy…
Question Number 85950 by TawaTawa1 last updated on 26/Mar/20 Commented by TawaTawa1 last updated on 26/Mar/20 $$\mathrm{Which}\:\mathrm{colour}\:\mathrm{area}\:\mathrm{is}\:\mathrm{bigger}. \\ $$$$\mathrm{please}\:\mathrm{show}\:\mathrm{workings}. \\ $$ Answered by jagoll last…
Question Number 151486 by mathocean1 last updated on 21/Aug/21 $$\int{ln}\left({sinx}\right)=?\: \\ $$$${x}\:\neq\:\mathrm{0}\:+\:\mathrm{2}{k}\pi\:;\:{k}\:\in\:\mathbb{Z} \\ $$ Answered by Olaf_Thorendsen last updated on 21/Aug/21 $$\mathrm{F}\left({x}\right)\:=\:\int\mathrm{ln}\left(\mathrm{sin}{x}\right)\:{dx} \\ $$$$\mathrm{F}\left({x}\right)\:=\:{x}\mathrm{ln}\left(\mathrm{sin}{x}\right)−\int{x}\mathrm{cot}{x}\:{dx} \\…
Question Number 20412 by Tinkutara last updated on 26/Aug/17 $$\mathrm{A}\:\mathrm{block}\:\mathrm{is}\:\mathrm{placed}\:\mathrm{on}\:\mathrm{a}\:\mathrm{rough}\:\mathrm{horizontal} \\ $$$$\mathrm{surface}.\:\mathrm{The}\:\mathrm{minimum}\:\mathrm{force}\:\mathrm{required} \\ $$$$\mathrm{to}\:\mathrm{slide}\:\mathrm{the}\:\mathrm{block}\:\mathrm{is} \\ $$ Commented by Tinkutara last updated on 26/Aug/17 Commented by…
Question Number 151481 by mathdanisur last updated on 21/Aug/21 $$\mathrm{if}\:\:\mathrm{x};\mathrm{y};\mathrm{z};\mathrm{t}\in\mathbb{R}\:\:\mathrm{and} \\ $$$$\mathrm{x}+\mathrm{y}+\mathrm{z}\:\leqslant\:\mathrm{3t}\:\:;\:\:\mathrm{y}+\mathrm{z}+\mathrm{t}\:\leqslant\:\mathrm{3x} \\ $$$$\mathrm{z}+\mathrm{t}+\mathrm{x}\:\leqslant\:\mathrm{3y}\:\:;\:\:\mathrm{t}+\mathrm{x}+\mathrm{y}\:\leqslant\:\mathrm{3z} \\ $$$$\mathrm{compare}:\:\:\mathrm{x};\mathrm{y};\mathrm{z};\mathrm{t} \\ $$ Commented by dumitrel last updated on 21/Aug/21…
Question Number 20411 by Tinkutara last updated on 26/Aug/17 $$\mathrm{A}\:\mathrm{stone}\:\mathrm{of}\:\mathrm{weight}\:{W}\:\mathrm{is}\:\mathrm{thrown}\:\mathrm{straight} \\ $$$$\mathrm{up}\:\mathrm{from}\:\mathrm{the}\:\mathrm{ground}\:\mathrm{with}\:\mathrm{an}\:\mathrm{initial} \\ $$$$\mathrm{speed}\:{u}.\:\mathrm{if}\:\mathrm{a}\:\mathrm{drag}\:\mathrm{force}\:\mathrm{of}\:\mathrm{constant} \\ $$$$\mathrm{magnitude}\:{f}\:\mathrm{acts}\:\mathrm{on}\:\mathrm{the}\:\mathrm{stone}\:\mathrm{through} \\ $$$$\mathrm{out}\:\mathrm{its}\:\mathrm{flight},\:\mathrm{the}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{stone}\:\mathrm{just} \\ $$$$\mathrm{before}\:\mathrm{reaching}\:\mathrm{the}\:\mathrm{ground}\:\mathrm{is} \\ $$ Answered by ajfour…
Question Number 20409 by Tinkutara last updated on 26/Aug/17 $${Calculate}\:{the}\:{force}\:\left({F}\right)\:{required}\:{to} \\ $$$${cause}\:{the}\:{block}\:{of}\:{mass}\:{m}_{\mathrm{1}} \:=\:\mathrm{20}\:{kg} \\ $$$${just}\:{to}\:{slide}\:{under}\:{the}\:{block}\:{of}\:{mass} \\ $$$${m}_{\mathrm{2}} \:=\:\mathrm{10}\:{kg}\:\left[{coefficient}\:{of}\:{friction}\:\mu\right. \\ $$$$\left.=\:\mathrm{0}.\mathrm{25}\:{for}\:{all}\:{surfaces}\right] \\ $$ Commented by Tinkutara…