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Author: Tinku Tara

Question-149241

Question Number 149241 by john_santu last updated on 04/Aug/21 Answered by ajfour last updated on 04/Aug/21 $${s}=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{x}^{\mathrm{3}} {dx}}{\left({x}−\mathrm{1}\right)^{\mathrm{3}} +\left(\mathrm{3}−{h}\right)\left({x}−\mathrm{1}\right)+{hx}} \\ $$$$\mathrm{3}−{h}=\mathrm{5}\:\:\:\Rightarrow\:\:{h}=−\mathrm{2} \\ $$$${s}_{\mathrm{1}}…

lim-x-a-x-a-x-a-x-2-a-2-

Question Number 149239 by john_santu last updated on 04/Aug/21 $$\:\:\:\underset{{x}\rightarrow\mathrm{a}^{+} } {\mathrm{lim}}\:\frac{\sqrt{\mathrm{x}}−\sqrt{\mathrm{a}}\:−\sqrt{\mathrm{x}−\mathrm{a}}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{a}^{\mathrm{2}} }}\:=?\: \\ $$ Answered by EDWIN88 last updated on 04/Aug/21 $$\:\underset{{x}\rightarrow{a}^{+} }…

z-3-z-c-z-4-z-2-cz-let-z-x-q-x-4-4qx-3-6q-2-x-2-4q-3-x-q-4-x-2-2qx-q-2-cx-cq-0-x-4-4qx-3-6q-2-1-x-2-4q-3-2q-c-x-q-4-q-2-cq-0-let-q-2-1-6-x-4-4qx-3-4q-3-c-x-5-3

Question Number 149238 by ajfour last updated on 04/Aug/21 $${z}^{\mathrm{3}} −{z}={c} \\ $$$${z}^{\mathrm{4}} −{z}^{\mathrm{2}} ={cz} \\ $$$${let}\:\:{z}={x}+{q} \\ $$$${x}^{\mathrm{4}} +\mathrm{4}{qx}^{\mathrm{3}} +\mathrm{6}{q}^{\mathrm{2}} {x}^{\mathrm{2}} +\mathrm{4}{q}^{\mathrm{3}} {x}+{q}^{\mathrm{4}} \\…