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Question Number 225840 Answers: 1 Comments: 1

Question Number 225837 Answers: 2 Comments: 0

Show that, log(√(7(√(7(√(7(√(7....α)))))))) =1

$${Show}\:{that},\:{log}\sqrt{\mathrm{7}\sqrt{\mathrm{7}\sqrt{\mathrm{7}\sqrt{\mathrm{7}....\alpha}}}}\:=\mathrm{1} \\ $$

Question Number 225832 Answers: 2 Comments: 3

Question Number 225820 Answers: 1 Comments: 1

Question Number 225814 Answers: 1 Comments: 0

∫∣x∣dx

$$\int\mid{x}\mid{dx} \\ $$

Question Number 225810 Answers: 0 Comments: 0

Prove that in any triangle: ((4R)/r) ≥ ((w_a w_b w_c )/(h_a h_b h_c )) ∙ ((1/a) + (1/b))∙((√a) + (√b))^2

$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{in}\:\mathrm{any}\:\mathrm{triangle}: \\ $$$$\frac{\mathrm{4R}}{\mathrm{r}}\:\geqslant\:\frac{\mathrm{w}_{\boldsymbol{\mathrm{a}}} \:\mathrm{w}_{\boldsymbol{\mathrm{b}}} \:\mathrm{w}_{\boldsymbol{\mathrm{c}}} }{\mathrm{h}_{\boldsymbol{\mathrm{a}}} \:\mathrm{h}_{\boldsymbol{\mathrm{b}}} \:\mathrm{h}_{\boldsymbol{\mathrm{c}}} }\:\centerdot\:\left(\frac{\mathrm{1}}{\mathrm{a}}\:+\:\frac{\mathrm{1}}{\mathrm{b}}\right)\centerdot\left(\sqrt{\mathrm{a}}\:+\:\sqrt{\mathrm{b}}\right)^{\mathrm{2}} \\ $$

Question Number 225776 Answers: 1 Comments: 3

Question Number 225788 Answers: 1 Comments: 25

∫_( (√2)−1) ^( y) (√((2(√2))y−1))dy

$$\int_{\:\sqrt{\mathrm{2}}−\mathrm{1}} ^{\:{y}} \sqrt{\left(\mathrm{2}\sqrt{\mathrm{2}}\right){y}−\mathrm{1}}{dy} \\ $$

Question Number 225786 Answers: 1 Comments: 0

Question Number 225758 Answers: 4 Comments: 1

Question Number 225756 Answers: 0 Comments: 3

Question Number 225740 Answers: 1 Comments: 0

Question Number 225730 Answers: 0 Comments: 0

Question Number 225726 Answers: 1 Comments: 1

Question Number 225716 Answers: 1 Comments: 4

Question Number 225698 Answers: 0 Comments: 0

Question Number 225713 Answers: 3 Comments: 1

Question Number 225700 Answers: 0 Comments: 3

Question Number 225703 Answers: 3 Comments: 0

Question Number 225691 Answers: 1 Comments: 0

((−1))^(1/i)

$$\sqrt[{{i}}]{−\mathrm{1}} \\ $$

Question Number 225676 Answers: 0 Comments: 0

Question Number 225666 Answers: 1 Comments: 2

Question Number 225664 Answers: 0 Comments: 0

If a(x)=1 and W_(n=−1) ^(Qw_(fr.) ((1/(x−1))×x)) a′′(ust^n x)=0; What value of Tk(x^2 )? (This is nonstandartmath exercise)

$${If}\:{a}\left({x}\right)=\mathrm{1}\:{and}\:\underset{{n}=−\mathrm{1}} {\overset{{Qw}_{{fr}.} \left(\frac{\mathrm{1}}{{x}−\mathrm{1}}×{x}\right)} {{W}}a}''\left({ust}^{{n}} {x}\right)=\mathrm{0}; \\ $$$${What}\:{value}\:{of}\:{Tk}\left({x}^{\mathrm{2}} \right)? \\ $$$$\left({This}\:{is}\:{nonstandartmath}\:{exercise}\right) \\ $$

Question Number 225661 Answers: 1 Comments: 5

Question Number 225658 Answers: 1 Comments: 0

Question Number 225657 Answers: 0 Comments: 0

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