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GeometryQuestion and Answers: Page 66

Question Number 123027    Answers: 2   Comments: 1

Question Number 122513    Answers: 0   Comments: 1

Question Number 122467    Answers: 1   Comments: 1

(1/(π^2 −1))+(1/(4π^2 −1))+(1/(9π^2 −1))+(1/(16π^2 −1))+....

$$\frac{\mathrm{1}}{\pi^{\mathrm{2}} −\mathrm{1}}+\frac{\mathrm{1}}{\mathrm{4}\pi^{\mathrm{2}} −\mathrm{1}}+\frac{\mathrm{1}}{\mathrm{9}\pi^{\mathrm{2}} −\mathrm{1}}+\frac{\mathrm{1}}{\mathrm{16}\pi^{\mathrm{2}} −\mathrm{1}}+.... \\ $$

Question Number 122399    Answers: 2   Comments: 1

Question Number 122056    Answers: 1   Comments: 2

Question Number 122055    Answers: 1   Comments: 0

Question Number 121985    Answers: 0   Comments: 1

Σ_(n=1) ^∞ (1/(n (((4n)),((2n)) )))

$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{n}\begin{pmatrix}{\mathrm{4n}}\\{\mathrm{2n}}\end{pmatrix}} \\ $$

Question Number 121802    Answers: 1   Comments: 2

Question Number 121615    Answers: 0   Comments: 6

Question Number 121553    Answers: 2   Comments: 1

Question Number 121539    Answers: 3   Comments: 1

Question Number 121337    Answers: 0   Comments: 3

Question Number 121330    Answers: 1   Comments: 2

Question Number 121134    Answers: 2   Comments: 0

Question Number 120946    Answers: 1   Comments: 0

Question Number 120895    Answers: 1   Comments: 3

Question Number 120868    Answers: 0   Comments: 0

Question Number 120864    Answers: 1   Comments: 3

Question Number 120676    Answers: 0   Comments: 4

Question Number 120569    Answers: 1   Comments: 5

Question Number 120244    Answers: 3   Comments: 2

how to justify that sin (x−((7π)/2) )= cos x

$${how}\:{to}\:{justify}\:\:{that}\:\mathrm{sin}\:\left({x}−\frac{\mathrm{7}\pi}{\mathrm{2}}\:\right)=\:\mathrm{cos}\:{x} \\ $$

Question Number 120215    Answers: 1   Comments: 0

Prove that (((((a+b)(b+c)(c+a))/8) ))^(1/3) ≥ (√((ab+bc+ca)/3)) for a,b,c > 0

$${Prove}\:{that}\:\sqrt[{\mathrm{3}}]{\frac{\left({a}+{b}\right)\left({b}+{c}\right)\left({c}+{a}\right)}{\mathrm{8}}\:}\:\geqslant\:\sqrt{\frac{{ab}+{bc}+{ca}}{\mathrm{3}}} \\ $$$${for}\:{a},{b},{c}\:>\:\mathrm{0} \\ $$

Question Number 120133    Answers: 0   Comments: 5

Question Number 119812    Answers: 2   Comments: 0

Question Number 119503    Answers: 2   Comments: 0

solve ⌊ (√x) ⌋ = ⌊ (x)^(1/(3 )) ⌋

$${solve}\:\lfloor\:\sqrt{{x}}\:\rfloor\:=\:\lfloor\:\sqrt[{\mathrm{3}\:}]{{x}}\:\rfloor\: \\ $$

Question Number 119187    Answers: 0   Comments: 3

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