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Category: Differentiation

help-given-total-cost-4x-y-p-1-25-3x-2y-p-2-12-x-y-total-revenue-p-1-x-p-2-y-calculate-a-quantity-sold-for-each-item-to-get-maximum-profit-b-respective-price-for-each-item-c-the-ma

Question Number 86537 by zainal tanjung last updated on 29/Mar/20 $$\mathrm{help}\: \\ $$$$\mathrm{given}\:\mathrm{total}\:\mathrm{cost}=\mathrm{4x}+\mathrm{y} \\ $$$$\mathrm{p}_{\mathrm{1}} =\mathrm{25}−\mathrm{3x}−\mathrm{2y} \\ $$$$\mathrm{p}_{\mathrm{2}} =\mathrm{12}−\mathrm{x}−\mathrm{y} \\ $$$$\mathrm{total}\:\mathrm{revenue}=\mathrm{p}_{\mathrm{1}} \mathrm{x}+\mathrm{p}_{\mathrm{2}} \mathrm{y} \\ $$$$\mathrm{calculate}:…

Question-20903

Question Number 20903 by ANTARES_VY last updated on 07/Sep/17 Answered by Joel577 last updated on 07/Sep/17 $$\mathrm{Using}\:\mathrm{polynomial}\:\mathrm{division},\mathrm{we}\:\mathrm{got} \\ $$$${I}\:=\:\int\:{x}^{\mathrm{3}} \:−\:{x}^{\mathrm{2}} \:+\:\mathrm{4}{x}\:−\:\mathrm{4}\:+\:\frac{\mathrm{4}{x}\:+\:\mathrm{1}}{{x}^{\mathrm{2}} \:+\:{x}}\:{dx} \\ $$$$\:\:\:=\:\int\:{x}^{\mathrm{3}} \:−\:{x}^{\mathrm{2}}…

Question-151940

Question Number 151940 by alcohol last updated on 24/Aug/21 Answered by qaz last updated on 24/Aug/21 $$\mathrm{4}\centerdot\mathrm{8}=\mathrm{32}……..\mathrm{32}\boldsymbol{\div}\mathrm{16}=\mathrm{2} \\ $$$$\mathrm{8}\centerdot\mathrm{9}=\mathrm{72}……..\mathrm{72}\boldsymbol{\div}\mathrm{24}=\mathrm{3} \\ $$$$\mathrm{9}\centerdot\mathrm{12}=\mathrm{108}…..\mathrm{108}\boldsymbol{\div}?=\mathrm{4} \\ $$$$\Rightarrow?=\mathrm{27} \\ $$…

Question-20871

Question Number 20871 by j.masanja06@gmail.com last updated on 05/Sep/17 Answered by sma3l2996 last updated on 05/Sep/17 $$\frac{{dy}}{{dx}}=\mathrm{2}\frac{{tan}^{−\mathrm{1}} {x}}{\mathrm{1}+{x}^{\mathrm{2}} }\Leftrightarrow\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\frac{{dy}}{{dx}}=\mathrm{2}{tan}^{−\mathrm{1}} {x} \\ $$$$\frac{{d}}{{dx}}\left(\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\frac{{dy}}{{dx}}\right)=\mathrm{2}\frac{{d}\left({tan}^{−\mathrm{1}} {x}\right)}{{dx}}=\frac{\mathrm{2}}{\mathrm{1}+{x}^{\mathrm{2}}…