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AllQuestion and Answers: Page 322

Question Number 185821    Answers: 1   Comments: 0

Question Number 185816    Answers: 3   Comments: 1

Question Number 185815    Answers: 1   Comments: 1

Let function g(x) = (a/(g(ax))) , a, r ∈ R^+ and g(2) = 3 . Find value of g(2016) .

$$\mathrm{Let}\:\:\mathrm{function}\:\:{g}\left({x}\right)\:\:=\:\frac{{a}}{{g}\left({ax}\right)}\:\:,\:\:\:{a},\:{r}\:\in\:\:\mathbb{R}^{+} \:\:{and} \\ $$$${g}\left(\mathrm{2}\right)\:\:=\:\mathrm{3}\:.\:\:\mathrm{Find}\:\mathrm{value}\:\:\mathrm{of}\:\:{g}\left(\mathrm{2016}\right)\:. \\ $$

Question Number 185805    Answers: 2   Comments: 0

Question Number 185800    Answers: 2   Comments: 0

Question Number 185799    Answers: 1   Comments: 1

Question Number 185794    Answers: 2   Comments: 1

Question Number 185793    Answers: 2   Comments: 0

Question Number 185786    Answers: 0   Comments: 0

Question Number 185782    Answers: 0   Comments: 0

Question Number 185781    Answers: 1   Comments: 0

Question Number 185780    Answers: 0   Comments: 0

find all solutions for k!m!=n! (k,m,n∈N) (m≥k>1)

$${find}\:{all}\:{solutions}\:{for} \\ $$$${k}!{m}!={n}! \\ $$$$\left({k},{m},{n}\in\mathbb{N}\right) \\ $$$$\left({m}\geqslant{k}>\mathrm{1}\right) \\ $$

Question Number 185776    Answers: 3   Comments: 0

Question Number 185774    Answers: 2   Comments: 0

Question Number 185770    Answers: 1   Comments: 0

Question Number 185768    Answers: 1   Comments: 0

Question Number 185764    Answers: 2   Comments: 0

If f(x)=−(x^2 /8)+x−(a/8)−1 has 2 diffrent real roots in ((√(7a)),+∞), find the range of a>0.

$$\mathrm{If}\:{f}\left({x}\right)=−\frac{{x}^{\mathrm{2}} }{\mathrm{8}}+{x}−\frac{{a}}{\mathrm{8}}−\mathrm{1}\:\mathrm{has}\:\mathrm{2}\:\mathrm{diffrent}\:\mathrm{real} \\ $$$$\mathrm{roots}\:\mathrm{in}\:\left(\sqrt{\mathrm{7}{a}},+\infty\right),\:\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:{a}>\mathrm{0}. \\ $$

Question Number 185760    Answers: 1   Comments: 0

A=2×10^0 +10^(−1) +6×10^(−2) +6×10^(−3) +6×10^(−4) +.... (A/(13))=?

$${A}=\mathrm{2}×\mathrm{10}^{\mathrm{0}} +\mathrm{10}^{−\mathrm{1}} +\mathrm{6}×\mathrm{10}^{−\mathrm{2}} +\mathrm{6}×\mathrm{10}^{−\mathrm{3}} +\mathrm{6}×\mathrm{10}^{−\mathrm{4}} +.... \\ $$$$\frac{{A}}{\mathrm{13}}=? \\ $$

Question Number 185754    Answers: 0   Comments: 0

Question Number 185752    Answers: 0   Comments: 1

Question Number 185747    Answers: 0   Comments: 0

Question Number 185744    Answers: 0   Comments: 0

Question Number 185734    Answers: 4   Comments: 0

x = (√(8 + (√(40 + 8 (√5))))) y = (√(8 − (√(40 + 8 (√5))))) Find: x^6 + y^6 = ?

$$\mathrm{x}\:=\:\sqrt{\mathrm{8}\:+\:\sqrt{\mathrm{40}\:+\:\mathrm{8}\:\sqrt{\mathrm{5}}}} \\ $$$$\mathrm{y}\:=\:\sqrt{\mathrm{8}\:−\:\sqrt{\mathrm{40}\:+\:\mathrm{8}\:\sqrt{\mathrm{5}}}} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{x}^{\mathrm{6}} \:+\:\mathrm{y}^{\mathrm{6}} \:=\:? \\ $$

Question Number 185733    Answers: 0   Comments: 0

Question Number 185732    Answers: 1   Comments: 0

Question Number 185731    Answers: 0   Comments: 0

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