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Author: Tinku Tara

n-1-n-7-7-n-

Question Number 126977 by Dwaipayan Shikari last updated on 25/Dec/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{n}^{\mathrm{7}} }{\mathrm{7}^{{n}} } \\ $$ Commented by MJS_new last updated on 25/Dec/20 $$=\frac{\mathrm{285929}}{\mathrm{11664}}…

Question-192508

Question Number 192508 by Spillover last updated on 19/May/23 Commented by Frix last updated on 19/May/23 $$\mathrm{They}\:\mathrm{solved}\:\mathrm{a}\:\mathrm{similar}\:\mathrm{question}\:\mathrm{for}\:\mathrm{you}. \\ $$$$\mathrm{Are}\:\mathrm{you}\:\mathrm{too}\:\mathrm{stupid}\:\mathrm{or}\:\mathrm{simply}\:\mathrm{too}\:\mathrm{lazy}? \\ $$ Answered by Spillover last…

Question-126966

Question Number 126966 by ajfour last updated on 25/Dec/20 Commented by ajfour last updated on 25/Dec/20 $${With}\:{the}\:{help}\:{of}\:{the}\:{intersection} \\ $$$${of}\:{the}\:{inclined}\:{parabola},\:{find}\: \\ $$$${a}\:{root}\:{of}\:{the}\:{cubic}:\:\:\boldsymbol{{y}}=\boldsymbol{{x}}^{\mathrm{3}} −\boldsymbol{{x}}−\boldsymbol{{c}}. \\ $$$${Assume}\:{shape}\:{of}\:{parabola}\:{the} \\…

tan-66-tan-12-3-tan-x-x-

Question Number 192497 by cortano12 last updated on 19/May/23 $$\:\:\mathrm{tan}\:\mathrm{66}°+\mathrm{tan}\:\mathrm{12}°=\sqrt{\mathrm{3}}\:+\mathrm{tan}\:\mathrm{x} \\ $$$$\:\:\mathrm{x}=? \\ $$ Answered by Tomal last updated on 19/May/23 $$\:\:\mathrm{tan}\:\mathrm{66}°+\mathrm{tan}\:\mathrm{12}°=\sqrt{\mathrm{3}}\:+\mathrm{tan}\:\mathrm{x} \\ $$$$\Rightarrow\mathrm{2}.\mathrm{246}\:+\:\mathrm{0}.\mathrm{213}=\sqrt{\mathrm{3}\:}+\mathrm{tan}\:\mathrm{x} \\…

If-1-1-3-1-3-5-1-5-7-1-7-9-1-2017-2019-x-y-where-x-y-is-in-its-lower-terms-find-the-value-of-x-y-

Question Number 126963 by ZiYangLee last updated on 25/Dec/20 $$\mathrm{If}\:\frac{\mathrm{1}}{\mathrm{1}×\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{3}×\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{5}×\mathrm{7}}+\frac{\mathrm{1}}{\mathrm{7}×\mathrm{9}}+\ldots+\frac{\mathrm{1}}{\mathrm{2017}×\mathrm{2019}}=\frac{{x}}{{y}} \\ $$$$\mathrm{where}\:\frac{{x}}{{y}}\:\mathrm{is}\:\mathrm{in}\:\mathrm{its}\:\mathrm{lower}\:\mathrm{terms},\: \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}+{y}. \\ $$ Answered by Olaf last updated on 25/Dec/20 $$\mathrm{S}\:=\:\underset{{n}=\mathrm{0}} {\overset{\mathrm{1008}}…