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Question-117800

Question Number 117800 by Khalmohmmad last updated on 13/Oct/20 Answered by mr W last updated on 13/Oct/20 $$\mathrm{log}\:\mathrm{2}=\mathrm{log}\:\frac{\mathrm{6}}{\mathrm{3}}=\mathrm{log}\:\mathrm{6}−\mathrm{log}\:\mathrm{3}={a}−{b} \\ $$$$\mathrm{log}\:\mathrm{25}=\mathrm{log}\:\left(\frac{\mathrm{10}}{\mathrm{2}}\right)^{\mathrm{2}} =\mathrm{2}\left(\mathrm{log}\:\mathrm{10}−\mathrm{log}\:\mathrm{2}\right) \\ $$$$=\mathrm{2}\left(\mathrm{1}−{a}+{b}\right) \\ $$…

If-k-is-an-integer-which-satisfies-2sin-2-10cos-2-2-7-2k-then-k-A-0-1-2-3-B-1-0-1-2-3-C-2-1-0-1-2-3-D-3-2-1-0-

Question Number 117791 by ZiYangLee last updated on 13/Oct/20 $$\mathrm{If}\:{k}\:\mathrm{is}\:\mathrm{an}\:\mathrm{integer}\:\mathrm{which}\:\mathrm{satisfies}\: \\ $$$$\mathrm{2sin}^{\mathrm{2}} \theta+\mathrm{10cos}^{\mathrm{2}} \frac{\theta}{\mathrm{2}}=\mathrm{7}−\mathrm{2}{k},\:\mathrm{then}\:{k}\in? \\ $$$${A}.\left\{\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3}\right\}\:\:\:{B}.\left\{−\mathrm{1},\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3}\right\} \\ $$$${C}.\left\{\left(−\mathrm{2},−\mathrm{1},\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3}\right\}\:\:{D}.\left\{−\mathrm{3},−\mathrm{2},−\mathrm{1},\mathrm{0}\right\}\right. \\ $$ Answered by floor(10²Eta[1]) last updated…

Question-117787

Question Number 117787 by mathdave last updated on 13/Oct/20 Answered by Dwaipayan Shikari last updated on 13/Oct/20 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{n}} \frac{\mathrm{1}−{x}^{{n}} }{\mathrm{1}−{x}}{dx} \\ $$$$=\underset{{n}\rightarrow\infty}…

1067-249-1067-250-

Question Number 183301 by sciencestudent last updated on 24/Dec/22 $$\begin{pmatrix}{\mathrm{1067}}\\{\mathrm{249}}\end{pmatrix}+\begin{pmatrix}{\mathrm{1067}}\\{\mathrm{250}}\end{pmatrix}=? \\ $$ Commented by JDamian last updated on 24/Dec/22 https://en.m.wikipedia.org/wiki/Pascal%27s_triangle Commented by sciencestudent last updated…

Question-183270

Question Number 183270 by Ml last updated on 24/Dec/22 Commented by Ml last updated on 24/Dec/22 $$\mathrm{Area}\:\mathrm{and}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{sheadd} \\ $$$$\mathrm{please}\:\mathrm{i}\:\mathrm{have}\:\mathrm{exam}\: \\ $$$$\mathrm{i}\:\mathrm{need}\:\mathrm{it} \\ $$ Commented by…

Question-52161

Question Number 52161 by naka3546 last updated on 03/Jan/19 Commented by prakash jain last updated on 04/Jan/19 $${f}\left({x}\right)=\begin{cases}{\mathrm{7}{x}+\mathrm{1}}&{\mathrm{0}\leqslant{x}\leqslant\mathrm{1}/\mathrm{2}}\\{\mathrm{7}−\mathrm{5}{x}}&{\mathrm{1}/\mathrm{2}\leqslant{x}\leqslant\mathrm{1}}\end{cases} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx}=\int_{\mathrm{0}} ^{\mathrm{1}/\mathrm{2}} {f}\left({x}\right){dx}+\int_{\mathrm{1}\:/\mathrm{2}} ^{\mathrm{1}}…