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Author: Tinku Tara

Question-70429

Question Number 70429 by TawaTawa last updated on 04/Oct/19 Commented by TawaTawa last updated on 04/Oct/19 If ABCD is a square, AH is the tangent of the sector BEF at G, AG:GH = 7, and DH = 2. Find the area of the square Commented by MJS last updated on 04/Oct/19 $${AG}:{GH}=\mathrm{7}???…

1-find-dx-x-1-2-x-3-4-2-deduce-the-decomposition-of-F-x-1-x-1-2-x-3-4-

Question Number 135957 by mathmax by abdo last updated on 17/Mar/21 $$\left.\mathrm{1}\right)\:\mathrm{find}\:\int\:\:\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{4}} } \\ $$$$\left.\mathrm{2}\right)\:\mathrm{deduce}\:\mathrm{the}\:\mathrm{decomposition}\:\mathrm{of}\:\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{4}} } \\ $$ Answered by Dwaipayan Shikari last…

Question-70423

Question Number 70423 by ajfour last updated on 04/Oct/19 Commented by ajfour last updated on 04/Oct/19 $${Within}\:{a}\:{hollow}\:{sphere},\:{mass} \\ $$$${M}_{\mathrm{0}} \:,\:{radius}\:{R},\:{rests}\:{two}\:{smaller} \\ $$$${spheres}\:{masses},\:{M}\:{and}\:{m},\:{radii} \\ $$$${b},\:{a}\:,\:{respectively}.\:{Find}\:{equilibrium} \\…

f-x-x-x-lt-0-xf-x-1-1-x-0-5-5-f-x-dx-

Question Number 4883 by 123456 last updated on 19/Mar/16 $${f}\left({x}\right)=\begin{cases}{{x}}&{{x}<\mathrm{0}}\\{{xf}\left({x}−\mathrm{1}\right)+\mathrm{1}}&{{x}\geqslant\mathrm{0}}\end{cases} \\ $$$$\underset{−\mathrm{5}} {\overset{\mathrm{5}} {\int}}{f}\left({x}\right){dx}=? \\ $$ Commented by prakash jain last updated on 19/Mar/16 $$\mathrm{0}\leqslant{x}<\mathrm{1}\:\Rightarrow\left({x}−\mathrm{1}\right)<\mathrm{0}…