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Category: Algebra

Question-156734

Question Number 156734 by MathSh last updated on 14/Oct/21 Commented by talminator2856791 last updated on 15/Oct/21 $$\:\mathrm{is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{mistake}\:\mathrm{in}\:\mathrm{the}\:\mathrm{question}?\:\: \\ $$$$\:\mathrm{shouldnt}\:\mathrm{the}\:\mathrm{denomenator}\:\mathrm{be} \\ $$$$\:{mn}\left({m}+\mathrm{1}\right)^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} \left({m}+\mathrm{2}\right)\left({n}+\mathrm{2}\right)\:\: \\ $$…

what-is-the-duble-fictorial-furmolla-

Question Number 91195 by student work last updated on 28/Apr/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{duble}\:\mathrm{fictorial}\:\mathrm{furmolla}? \\ $$ Answered by MJS last updated on 28/Apr/20 $${n}!!=\begin{cases}{\underset{{k}=\mathrm{1}} {\overset{\frac{{n}}{\mathrm{2}}} {\prod}}\left(\mathrm{2}{k}\right)\:\mathrm{for}\:\mathrm{even}\:{n}}\\{\underset{{k}=\mathrm{1}} {\overset{\frac{{n}+\mathrm{1}}{\mathrm{2}}} {\prod}}\left(\mathrm{2}{k}−\mathrm{1}\right)\:\mathrm{for}\:\mathrm{uneven}\:{n}}\end{cases}…

Question-156729

Question Number 156729 by MathSh last updated on 14/Oct/21 Answered by MJS_new last updated on 15/Oct/21 $$\int\frac{{x}+\mathrm{2}}{\left({x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{3}\right)\sqrt{{x}+\mathrm{1}}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\sqrt{{x}+\mathrm{1}}\:\rightarrow\:{dx}=\mathrm{2}\sqrt{{x}+\mathrm{1}}{dt}\right] \\ $$$$=\mathrm{2}\int\frac{{t}^{\mathrm{2}} +\mathrm{1}}{{t}^{\mathrm{4}} +{t}^{\mathrm{2}} +\mathrm{1}}{dt}=\int\frac{{dt}}{{t}^{\mathrm{2}}…

Question-91166

Question Number 91166 by student work last updated on 28/Apr/20 Commented by Prithwish Sen 1 last updated on 28/Apr/20 $$\mathrm{the}\:\mathrm{curves} \\ $$$$\boldsymbol{\mathrm{y}}=\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{y}}=\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{x}}} \:\mathrm{can}\:\mathrm{meet}\:\mathrm{at}\:\mathrm{atmost}\:\mathrm{two}\:\mathrm{points}\overset{} {.}…

Question-25619

Question Number 25619 by aplus last updated on 12/Dec/17 Answered by prakash jain last updated on 12/Dec/17 $${ab}+{cd}=\mathrm{38}\:\:\left({i}\right) \\ $$$${ac}+{bd}=\mathrm{34}\:\:\:\left({ii}\right) \\ $$$${ad}+{bc}=\mathrm{43}\:\:\:\left({iii}\right) \\ $$$${add}\:\left({i}\right)\:{and}\:\left({ii}\right) \\…